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6930397152 = 253371145899
BaseRepresentation
bin1100111010001010…
…10111011111100000
3122212222202122122000
412131011113133200
5103143140202102
63103410244000
7333512255340
oct63505273740
918788678560
106930397152
112a37034a58
121414b86600
13865a76123
1449a5dcd20
152a866b01c
hex19d1577e0

6930397152 has 96 divisors (see below), whose sum is σ = 23101344000. Its totient is φ = 1980111744.

The previous prime is 6930397151. The next prime is 6930397219. The reversal of 6930397152 is 2517930396.

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

It is a super-2 number, since 2×69303971522 = 96060809368899422208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6930397098 and 6930397107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6930397151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 566902 + ... + 578997.

It is an arithmetic number, because the mean of its divisors is an integer number (240639000).

Almost surely, 26930397152 is an apocalyptic number.

It is an amenable number.

6930397152 is an abundant number, since it is smaller than the sum of its proper divisors (16170946848).

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

6930397152 is a wasteful number, since it uses less digits than its factorization.

6930397152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145925 (or 1145911 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 6930397152 is about 83249.0069129957. The cubic root of 6930397152 is about 1906.5697916994.

The spelling of 6930397152 in words is "six billion, nine hundred thirty million, three hundred ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 1145899 2291798 3437697 4583596 6875394 8021293 9167192 10313091 13750788 16042586 18334384 20626182 24063879 27501576 30939273 32085172 36668768 41252364 48127758 55003152 61878546 64170344 72191637 82504728 96255516 110006304 123757092 128340688 144383274 165009456 192511032 216574911 247514184 256681376 288766548 330018912 385022064 433149822 495028368 577533096 770044128 866299644 990056736 1155066192 1732599288 2310132384 3465198576 6930397152