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155393824656 = 24372208931627
BaseRepresentation
bin1001000010111000110…
…0011001011110010000
3112212002122220012022010
42100232030121132100
510021221304342111
6155215324542520
714140542500400
oct2205614313620
9485078805263
10155393824656
115a9a1843484
12261490b1a40
1311865b99895
147741c8a800
1540973c9aa6
hex242e319790

155393824656 has 120 divisors (see below), whose sum is σ = 467212611360. Its totient is φ = 44375579136.

The previous prime is 155393824643. The next prime is 155393824679. The reversal of 155393824656 is 656428393551.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 155393824596 and 155393824605.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4897515 + ... + 4929141.

It is an arithmetic number, because the mean of its divisors is an integer number (3893438428).

Almost surely, 2155393824656 is an apocalyptic number.

155393824656 is a gapful number since it is divisible by the number (16) 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 155393824656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233606305680).

155393824656 is an abundant number, since it is smaller than the sum of its proper divisors (311818786704).

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

155393824656 is a wasteful number, since it uses less digits than its factorization.

155393824656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33741 (or 33728 counting only the distinct ones).

The product of its digits is 23328000, while the sum is 57.

The spelling of 155393824656 in words is "one hundred fifty-five billion, three hundred ninety-three million, eight hundred twenty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2089 2352 4178 6267 8356 12534 14623 16712 25068 29246 31627 33424 43869 50136 58492 63254 87738 94881 100272 102361 116984 126508 175476 189762 204722 221389 233968 253016 307083 350952 379524 409444 442778 506032 614166 664167 701904 759048 818888 885556 1228332 1328334 1518096 1549723 1637776 1771112 2456664 2656668 3099446 3542224 4649169 4913328 5313336 6198892 9298338 10626672 12397784 18596676 24795568 37193352 66068803 74386704 132137606 198206409 264275212 396412818 462481621 528550424 792825636 924963242 1057100848 1387444863 1585651272 1849926484 2774889726 3171302544 3237371347 3699852968 5549779452 6474742694 7399705936 9712114041 11099558904 12949485388 19424228082 22199117808 25898970776 38848456164 51797941552 77696912328 155393824656