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165325432140 = 2232511174911629
BaseRepresentation
bin1001100111111000101…
…0011110010101001100
3120210201210222010112100
42121332022132111030
510202041302312030
6203541025435100
714641626662301
oct2317612362514
9523653863470
10165325432140
1164128995150
122805b19ba90
131278965c0bb
148004cc90a8
154479278360
hex267e29e54c

165325432140 has 144 divisors (see below), whose sum is σ = 579257995680. Its totient is φ = 37721303040.

The previous prime is 165325432093. The next prime is 165325432211. The reversal of 165325432140 is 41234523561.

165325432140 is a `hidden beast` number, since 1 + 6 + 5 + 325 + 4 + 321 + 4 + 0 = 666.

165325432140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 165325432095 and 165325432104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2422155 + ... + 2489474.

It is an arithmetic number, because the mean of its divisors is an integer number (4022624970).

Almost surely, 2165325432140 is an apocalyptic number.

165325432140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165325432140 is an abundant number, since it is smaller than the sum of its proper divisors (413932563540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

165325432140 is a wasteful number, since it uses less digits than its factorization.

165325432140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4911672 (or 4911667 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 165325432140 in words is "one hundred sixty-five billion, three hundred twenty-five million, four hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 17 18 20 22 30 33 34 36 44 45 51 55 60 66 68 85 90 99 102 110 132 153 165 170 180 187 198 204 220 255 306 330 340 374 396 495 510 561 612 660 748 765 935 990 1020 1122 1530 1683 1870 1980 2244 2805 3060 3366 3740 5610 6732 8415 11220 16830 33660 4911629 9823258 14734887 19646516 24558145 29469774 44204661 49116290 54027919 58939548 73674435 83497693 88409322 98232580 108055838 147348870 162083757 166995386 176818644 216111676 221023305 250493079 270139595 294697740 324167514 333990772 417488465 442046610 486251271 500986158 540279190 648335028 751479237 810418785 834976930 884093220 918474623 972502542 1001972316 1080558380 1252465395 1502958474 1620837570 1669953860 1836949246 1945005084 2431256355 2504930790 2755423869 3005916948 3241675140 3673898492 3757396185 4592373115 4862512710 5009861580 5510847738 7514792370 8266271607 9184746230 9725025420 11021695476 13777119345 15029584740 16532543214 18369492460 27554238690 33065086428 41331358035 55108477380 82662716070 165325432140