Search a number
-
+
18357351168 = 2831313713421
BaseRepresentation
bin10001000110001011…
…101111001100000000
31202101100121001200010
4101012023233030000
5300043440214133
612233325424520
71216624624152
oct210613571400
952340531603
1018357351168
117870278702
123683a0b140
13196728b790
14c6208cad2
15726945263
hex4462ef300

18357351168 has 144 divisors (see below), whose sum is σ = 53003585376. Its totient is φ = 5606768640.

The previous prime is 18357351073. The next prime is 18357351191. The reversal of 18357351168 is 86115375381.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1361098 + ... + 1374518.

It is an arithmetic number, because the mean of its divisors is an integer number (368080454).

Almost surely, 218357351168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18357351168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26501792688).

18357351168 is an abundant number, since it is smaller than the sum of its proper divisors (34646234208).

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

18357351168 is a wasteful number, since it uses less digits than its factorization.

18357351168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13590 (or 13576 counting only the distinct ones).

The product of its digits is 604800, while the sum is 48.

The spelling of 18357351168 in words is "eighteen billion, three hundred fifty-seven million, three hundred fifty-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 137 156 192 208 256 274 312 384 411 416 548 624 768 822 832 1096 1248 1644 1664 1781 2192 2496 3288 3328 3562 4384 4992 5343 6576 7124 8768 9984 10686 13152 13421 14248 17536 21372 26304 26842 28496 35072 40263 42744 52608 53684 56992 80526 85488 105216 107368 113984 161052 170976 174473 214736 227968 322104 341952 348946 429472 455936 523419 644208 683904 697892 858944 1046838 1288416 1367808 1395784 1717888 1838677 2093676 2576832 2791568 3435776 3677354 4187352 5153664 5516031 5583136 7354708 8374704 10307328 11032062 11166272 14709416 16749408 22064124 22332544 23902801 29418832 33498816 44128248 44665088 47805602 58837664 66997632 71708403 88256496 95611204 117675328 133995264 143416806 176512992 191222408 235350656 286833612 353025984 382444816 470701312 573667224 706051968 764889632 1147334448 1412103936 1529779264 2294668896 3059558528 4589337792 6119117056 9178675584 18357351168