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6007368704 = 21010356957
BaseRepresentation
bin1011001100001000…
…10010110000000000
3120111122220221122012
411212010102300000
544300341244304
62432034432052
7301603535321
oct54604226000
916448827565
106007368704
112603004027
1211b7a32628
13749778a4c
1440dbaa448
152525e116e
hex166112c00

6007368704 has 44 divisors (see below), whose sum is σ = 12125674704. Its totient is φ = 2974470144.

The previous prime is 6007368691. The next prime is 6007368709. The reversal of 6007368704 is 4078637006.

It is not an unprimeable number, because it can be changed into a prime (6007368709) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 76994 + ... + 133950.

It is an arithmetic number, because the mean of its divisors is an integer number (275583516).

Almost surely, 26007368704 is an apocalyptic number.

6007368704 is a gapful number since it is divisible by the number (64) 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 6007368704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6062837352).

6007368704 is an abundant number, since it is smaller than the sum of its proper divisors (6118306000).

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

6007368704 is a wasteful number, since it uses less digits than its factorization.

6007368704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57080 (or 57062 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 41.

The square root of 6007368704 is about 77507.2171091183. The cubic root of 6007368704 is about 1817.8641676151.

The spelling of 6007368704 in words is "six billion, seven million, three hundred sixty-eight thousand, seven hundred four".

Divisors: 1 2 4 8 16 32 64 103 128 206 256 412 512 824 1024 1648 3296 6592 13184 26368 52736 56957 105472 113914 227828 455656 911312 1822624 3645248 5866571 7290496 11733142 14580992 23466284 29161984 46932568 58323968 93865136 187730272 375460544 750921088 1501842176 3003684352 6007368704