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5997666304 = 2137412551
BaseRepresentation
bin1011001010111110…
…10010000000000000
3120110222200000110001
411211133102000000
544240400310204
62431050445344
7301425215410
oct54537220000
916428600401
105997666304
1125a8587513
1211b4733854
1374775c796
1440c7a2640
152518264a4
hex1657d2000

5997666304 has 112 divisors (see below), whose sum is σ = 14047963776. Its totient is φ = 2506752000.

The previous prime is 5997666247. The next prime is 5997666329. The reversal of 5997666304 is 4036667995.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2349829 + ... + 2352379.

It is an arithmetic number, because the mean of its divisors is an integer number (125428248).

Almost surely, 25997666304 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 5997666304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7023981888).

5997666304 is an abundant number, since it is smaller than the sum of its proper divisors (8050297472).

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

5997666304 is an equidigital number, since it uses as much as digits as its factorization.

5997666304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2625 (or 2601 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 55.

The square root of 5997666304 is about 77444.6015161806. The cubic root of 5997666304 is about 1816.8849730004.

The spelling of 5997666304 in words is "five billion, nine hundred ninety-seven million, six hundred sixty-six thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 128 164 224 256 287 328 448 512 574 656 896 1024 1148 1312 1792 2048 2296 2551 2624 3584 4096 4592 5102 5248 7168 8192 9184 10204 10496 14336 17857 18368 20408 20992 28672 35714 36736 40816 41984 57344 71428 73472 81632 83968 104591 142856 146944 163264 167936 209182 285712 293888 326528 335872 418364 571424 587776 653056 732137 836728 1142848 1175552 1306112 1464274 1673456 2285696 2351104 2612224 2928548 3346912 4571392 5224448 5857096 6693824 9142784 10448896 11714192 13387648 18285568 20897792 23428384 26775296 36571136 46856768 53550592 73142272 93713536 107101184 146284544 187427072 214202368 374854144 428404736 749708288 856809472 1499416576 2998833152 5997666304