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155834122992 = 24329279140111
BaseRepresentation
bin1001000100100001110…
…0000000001011110000
3112220020100101200001220
42101020130000023300
510023122013413432
6155331134025040
714154500122122
oct2211034001360
9486210350056
10155834122992
11600a83330a9
1226250648180
131190617a742
147784541212
1540c0d9d72c
hex24487002f0

155834122992 has 80 divisors (see below), whose sum is σ = 416612858880. Its totient is φ = 50134291200.

The previous prime is 155834122981. The next prime is 155834123017. The reversal of 155834122992 is 299221438551.

It is a congruent number.

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, 3865017 + ... + 3905127.

It is an arithmetic number, because the mean of its divisors is an integer number (5207660736).

Almost surely, 2155834122992 is an apocalyptic number.

155834122992 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 155834122992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208306429440).

155834122992 is an abundant number, since it is smaller than the sum of its proper divisors (260778735888).

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

155834122992 is a wasteful number, since it uses less digits than its factorization.

155834122992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42942 (or 42936 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 51.

The spelling of 155834122992 in words is "one hundred fifty-five billion, eight hundred thirty-four million, one hundred twenty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 2791 5582 8373 11164 16746 22328 33492 40111 44656 66984 80222 80939 120333 133968 160444 161878 240666 242817 320888 323756 481332 485634 641776 647512 962664 971268 1163219 1295024 1925328 1942536 2326438 3489657 3885072 4652876 6979314 9305752 13958628 18611504 27917256 55834512 111949801 223899602 335849403 447799204 671698806 895598408 1343397612 1791196816 2686795224 3246544229 5373590448 6493088458 9739632687 12986176916 19479265374 25972353832 38958530748 51944707664 77917061496 155834122992