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5762636768 = 257219672887
BaseRepresentation
bin1010101110111101…
…01101101111100000
3112212121102021112102
411113132231233200
543300213334033
62351453145532
7262542414200
oct52736555740
915777367472
105762636768
112497949329
121149a8b2a8
1370ab5c155
143c94a2400
1523ad9cde8
hex1577adbe0

5762636768 has 144 divisors (see below), whose sum is σ = 14104298880. Its totient is φ = 2303997696.

The previous prime is 5762636723. The next prime is 5762636807. The reversal of 5762636768 is 8676362675.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1994621 + ... + 1997507.

It is an arithmetic number, because the mean of its divisors is an integer number (97946520).

Almost surely, 25762636768 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 5762636768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7052149440).

5762636768 is an abundant number, since it is smaller than the sum of its proper divisors (8341662112).

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

5762636768 is a wasteful number, since it uses less digits than its factorization.

5762636768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2997 (or 2982 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 56.

The square root of 5762636768 is about 75912.0330909402. The cubic root of 5762636768 is about 1792.8353852435.

The spelling of 5762636768 in words is "five billion, seven hundred sixty-two million, six hundred thirty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 67 76 98 112 133 134 152 196 224 266 268 304 392 469 532 536 608 784 931 938 1064 1072 1273 1568 1862 1876 2128 2144 2546 2887 3283 3724 3752 4256 5092 5774 6566 7448 7504 8911 10184 11548 13132 14896 15008 17822 20209 20368 23096 26264 29792 35644 40418 40736 46192 52528 54853 62377 71288 80836 92384 105056 109706 124754 141463 142576 161672 193429 219412 249508 282926 285152 323344 383971 386858 438824 499016 565852 646688 767942 773716 877648 998032 1131704 1354003 1535884 1547432 1755296 1996064 2263408 2687797 2708006 3071768 3094864 3675151 4526816 5375594 5416012 6143536 6189728 7350302 9478021 10751188 10832024 12287072 14700604 18956042 21502376 21664048 25726057 29401208 37912084 43004752 43328096 51452114 58802416 75824168 86009504 102904228 117604832 151648336 180082399 205808456 303296672 360164798 411616912 720329596 823233824 1440659192 2881318384 5762636768