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157975430112 = 2534160937879
BaseRepresentation
bin1001001100100000010…
…0011100001111100000
3120002202120122100020000
42103020010130033200
510042013202230422
6200323425420000
714261531000043
oct2231004341740
9502676570200
10157975430112
1160aa7014905
122674979a600
1311b8799c086
147908aa0c5a
154198d74cac
hex24c811c3e0

157975430112 has 120 divisors (see below), whose sum is σ = 464902376400. Its totient is φ = 52624359936.

The previous prime is 157975430101. The next prime is 157975430113. The reversal of 157975430112 is 211034579751.

157975430112 is a `hidden beast` number, since 1 + 5 + 7 + 97 + 543 + 0 + 1 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157975430113) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4151589 + ... + 4189467.

It is an arithmetic number, because the mean of its divisors is an integer number (3874186470).

Almost surely, 2157975430112 is an apocalyptic number.

157975430112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157975430112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232451188200).

157975430112 is an abundant number, since it is smaller than the sum of its proper divisors (306926946288).

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

157975430112 is a wasteful number, since it uses less digits than its factorization.

157975430112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39510 (or 39493 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 157975430112 in words is "one hundred fifty-seven billion, nine hundred seventy-five million, four hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 1609 2592 3218 4827 6436 9654 12872 14481 19308 25744 28962 37879 38616 43443 51488 57924 75758 77232 86886 113637 115848 130329 151516 154464 173772 227274 231696 260658 303032 340911 347544 454548 463392 521316 606064 681822 695088 909096 1022733 1042632 1212128 1363644 1390176 1818192 2045466 2085264 2727288 3068199 3636384 4090932 4170528 5454576 6136398 8181864 10909152 12272796 16363728 24545592 32727456 49091184 60947311 98182368 121894622 182841933 243789244 365683866 487578488 548525799 731367732 975156976 1097051598 1462735464 1645577397 1950313952 2194103196 2925470928 3291154794 4388206392 4936732191 5850941856 6582309588 8776412784 9873464382 13164619176 17552825568 19746928764 26329238352 39493857528 52658476704 78987715056 157975430112