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157541023992 = 2331143109312697
BaseRepresentation
bin1001001010111000101…
…1010100000011111000
3120001122022020020001110
42102232023110003320
510040121000231432
6200212350520320
714245004415642
oct2225613240370
9501568206043
10157541023992
11608a388a090
12266482060a0
1311b189a2131
1478a7101892
154170b66dcc
hex24ae2d40f8

157541023992 has 128 divisors (see below), whose sum is σ = 440086268160. Its totient is φ = 46583147520.

The previous prime is 157541023943. The next prime is 157541024021. The reversal of 157541023992 is 299320145751.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 12401388 + ... + 12414084.

It is an arithmetic number, because the mean of its divisors is an integer number (3438173970).

Almost surely, 2157541023992 is an apocalyptic number.

157541023992 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 157541023992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220043134080).

157541023992 is an abundant number, since it is smaller than the sum of its proper divisors (282545244168).

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

157541023992 is a wasteful number, since it uses less digits than its factorization.

157541023992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13853 (or 13849 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 48.

The spelling of 157541023992 in words is "one hundred fifty-seven billion, five hundred forty-one million, twenty-three thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 66 86 88 129 132 172 258 264 344 473 516 946 1032 1093 1419 1892 2186 2838 3279 3784 4372 5676 6558 8744 11352 12023 12697 13116 24046 25394 26232 36069 38091 46999 48092 50788 72138 76182 93998 96184 101576 139667 140997 144276 152364 187996 279334 281994 288552 304728 375992 419001 516989 545971 558668 563988 838002 1033978 1091942 1117336 1127976 1550967 1637913 1676004 2067956 2183884 3101934 3275826 3352008 4135912 4367768 6005681 6203868 6551652 12011362 12407736 13103304 13877821 18017043 24022724 27755642 36034086 41633463 48045448 55511284 72068172 83266926 111022568 144136344 152656031 166533852 305312062 333067704 457968093 596746303 610624124 915936186 1193492606 1221248248 1790238909 1831872372 2386985212 3580477818 3663744744 4773970424 6564209333 7160955636 13128418666 14321911272 19692627999 26256837332 39385255998 52513674664 78770511996 157541023992