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64158863616 = 283417592
BaseRepresentation
bin111011110000001010…
…101001000100000000
320010121100012222010000
4323300022221010000
52022344132113431
645250231040000
74430626225341
oct736012510400
9203540188100
1064158863616
1125234007931
1210526810000
136086262033
143168d5c0c8
151a079089e6
hexef02a9100

64158863616 has 135 divisors (see below), whose sum is σ = 191418944871. Its totient is φ = 21374129664.

The previous prime is 64158863609. The next prime is 64158863627. The reversal of 64158863616 is 61636885146.

The square root of 64158863616 is 253296.

It is a perfect power (a square), and thus also a powerful number.

64158863616 is a `hidden beast` number, since 6 + 4 + 15 + 8 + 8 + 6 + 3 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 36473745 + ... + 36475503.

Almost surely, 264158863616 is an apocalyptic number.

64158863616 is the 253296-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64158863616

64158863616 is an abundant number, since it is smaller than the sum of its proper divisors (127260081255).

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

64158863616 is an frugal number, since it uses more digits than its factorization.

64158863616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3546 (or 1764 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 64158863616 in words is "sixty-four billion, one hundred fifty-eight million, eight hundred sixty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 1759 2304 2592 3456 3518 5184 5277 6912 7036 10368 10554 14072 15831 20736 21108 28144 31662 42216 47493 56288 63324 84432 94986 112576 126648 142479 168864 189972 225152 253296 284958 337728 379944 450304 506592 569916 675456 759888 1013184 1139832 1350912 1519776 2026368 2279664 3039552 3094081 4052736 4559328 6079104 6188162 9118656 9282243 12158208 12376324 18237312 18564486 24752648 27846729 36474624 37128972 49505296 55693458 74257944 83540187 99010592 111386916 148515888 167080374 198021184 222773832 250620561 297031776 334160748 396042368 445547664 501241122 594063552 668321496 792084736 891095328 1002482244 1188127104 1336642992 1782190656 2004964488 2376254208 2673285984 3564381312 4009928976 5346571968 7128762624 8019857952 10693143936 16039715904 21386287872 32079431808 64158863616