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30857697936 = 24321350332771
BaseRepresentation
bin11100101111010000…
…110001101010010000
32221122112012110202100
4130233100301222100
51001144032313221
622101551320400
72141453050632
oct345720615220
987575173670
1030857697936
11120a54031aa
125b92220100
132ba9c9a180
1416ca312a52
15c0909b926
hex72f431a90

30857697936 has 120 divisors (see below), whose sum is σ = 93189410496. Its totient is φ = 9475511040.

The previous prime is 30857697901. The next prime is 30857697967. The reversal of 30857697936 is 63979675803.

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, 925231 + ... + 958001.

Almost surely, 230857697936 is an apocalyptic number.

30857697936 is a gapful number since it is divisible by the number (36) 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 30857697936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46594705248).

30857697936 is an abundant number, since it is smaller than the sum of its proper divisors (62331712560).

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

30857697936 is a wasteful number, since it uses less digits than its factorization.

30857697936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33301 (or 33292 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 30857697936 in words is "thirty billion, eight hundred fifty-seven million, six hundred ninety-seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 503 624 936 1006 1509 1872 2012 3018 4024 4527 6036 6539 8048 9054 12072 13078 18108 19617 24144 26156 32771 36216 39234 52312 58851 65542 72432 78468 98313 104624 117702 131084 156936 196626 235404 262168 294939 313872 393252 426023 470808 524336 589878 786504 852046 941616 1179756 1278069 1573008 1704092 2359512 2556138 3408184 3834207 4719024 5112276 6816368 7668414 10224552 15336828 16483813 20449104 30673656 32967626 49451439 61347312 65935252 98902878 131870504 148354317 197805756 214289569 263741008 296708634 395611512 428579138 593417268 642868707 791223024 857158276 1186834536 1285737414 1714316552 1928606121 2373669072 2571474828 3428633104 3857212242 5142949656 7714424484 10285899312 15428848968 30857697936