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30875252736 = 21137963611
BaseRepresentation
bin11100110000010011…
…101111100000000000
32221200202020100102010
4130300103233200000
51001213031041421
622103415452520
72142055214046
oct346023574000
987622210363
1030875252736
11121043033a9
125b98087140
132bb0805623
1416cc7a2396
15c0a8b8076
hex7304ef800

30875252736 has 96 divisors (see below), whose sum is σ = 83357164800. Its totient is φ = 10161315840.

The previous prime is 30875252731. The next prime is 30875252743. The reversal of 30875252736 is 63725257803.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30875252731) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 453571 + ... + 517181.

It is an arithmetic number, because the mean of its divisors is an integer number (868303800).

Almost surely, 230875252736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30875252736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41678582400).

30875252736 is an abundant number, since it is smaller than the sum of its proper divisors (52481912064).

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

30875252736 is an equidigital number, since it uses as much as digits as its factorization.

30875252736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63715 (or 63695 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 48.

The spelling of 30875252736 in words is "thirty billion, eight hundred seventy-five million, two hundred fifty-two thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 256 316 384 474 512 632 768 948 1024 1264 1536 1896 2048 2528 3072 3792 5056 6144 7584 10112 15168 20224 30336 40448 60672 63611 80896 121344 127222 161792 190833 242688 254444 381666 485376 508888 763332 1017776 1526664 2035552 3053328 4071104 5025269 6106656 8142208 10050538 12213312 15075807 16284416 20101076 24426624 30151614 32568832 40202152 48853248 60303228 65137664 80404304 97706496 120606456 130275328 160808608 195412992 241212912 321617216 390825984 482425824 643234432 964851648 1286468864 1929703296 2572937728 3859406592 5145875456 7718813184 10291750912 15437626368 30875252736