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5703737664 = 263374991609
BaseRepresentation
bin1010100111111100…
…00010000101000000
3112201111120220011010
411103332002011000
543140124101124
62341550520520
7261225653532
oct52376020500
915644526133
105703737664
11246767a589
121132206140
136cb8a9301
143c172d852
15235b16529
hex153f82140

5703737664 has 112 divisors (see below), whose sum is σ = 15539720000. Its totient is φ = 1845006336.

The previous prime is 5703737653. The next prime is 5703737681. The reversal of 5703737664 is 4667373075.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 3544092 + ... + 3545700.

It is an arithmetic number, because the mean of its divisors is an integer number (138747500).

Almost surely, 25703737664 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 5703737664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7769860000).

5703737664 is an abundant number, since it is smaller than the sum of its proper divisors (9835982336).

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

5703737664 is a wasteful number, since it uses less digits than its factorization.

5703737664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160 (or 2150 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 48.

The square root of 5703737664 is about 75523.0935807055. The cubic root of 5703737664 is about 1786.7063497040.

The spelling of 5703737664 in words is "five billion, seven hundred three million, seven hundred thirty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 444 499 592 888 998 1184 1497 1609 1776 1996 2368 2994 3218 3552 3992 4827 5988 6436 7104 7984 9654 11976 12872 15968 18463 19308 23952 25744 31936 36926 38616 47904 51488 55389 59533 73852 77232 95808 102976 110778 119066 147704 154464 178599 221556 238132 295408 308928 357198 443112 476264 590816 714396 802891 886224 952528 1181632 1428792 1605782 1772448 1905056 2408673 2857584 3211564 3544896 3810112 4817346 5715168 6423128 9634692 11430336 12846256 19269384 25692512 29706967 38538768 51385024 59413934 77077536 89120901 118827868 154155072 178241802 237655736 356483604 475311472 712967208 950622944 1425934416 1901245888 2851868832 5703737664