Search a number
-
+
535401092512 = 251113412853707
BaseRepresentation
bin1111100101010000110…
…01000101010110100000
31220011222000121112200001
413302220121011112200
532233000134430022
61045543155305344
753452511124526
oct7625031052640
91804860545601
10535401092512
11197075a60250
12879208ab254
133b6464a63b0
141bcb0ada316
15ddd89e0b27
hex7ca86455a0

535401092512 has 96 divisors (see below), whose sum is σ = 1268553109824. Its totient is φ = 219164620800.

The previous prime is 535401092509. The next prime is 535401092543. The reversal of 535401092512 is 215290104535.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1239238 + ... + 1614469.

It is an arithmetic number, because the mean of its divisors is an integer number (13214094894).

Almost surely, 2535401092512 is an apocalyptic number.

535401092512 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

535401092512 is an abundant number, since it is smaller than the sum of its proper divisors (733152017312).

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

535401092512 is a wasteful number, since it uses less digits than its factorization.

535401092512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2853782 (or 2853774 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 37.

The spelling of 535401092512 in words is "five hundred thirty-five billion, four hundred one million, ninety-two thousand, five hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 32 41 44 52 82 88 104 143 164 176 208 286 328 352 416 451 533 572 656 902 1066 1144 1312 1804 2132 2288 3608 4264 4576 5863 7216 8528 11726 14432 17056 23452 46904 93808 187616 2853707 5707414 11414828 22829656 31390777 37098191 45659312 62781554 74196382 91318624 117001987 125563108 148392764 234003974 251126216 296785528 408080101 468007948 502252432 593571056 816160202 936015896 1004504864 1187142112 1287021857 1521025831 1632320404 1872031792 2574043714 3042051662 3264640808 3744063584 5148087428 6084103324 6529281616 10296174856 12168206648 13058563232 16731284141 20592349712 24336413296 33462568282 41184699424 48672826592 66925136564 133850273128 267700546256 535401092512