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4997664576 = 263315971811
BaseRepresentation
bin1001010011110001…
…00100111101000000
3110220021222122222000
410221320210331000
540213400231301
62143525144000
7234563306442
oct45170447500
913807878860
104997664576
112135062403
12b7585b000
13618521898
14355a54492
151e3b44786
hex129e24f40

4997664576 has 112 divisors (see below), whose sum is σ = 14709526080. Its totient is φ = 1663925760.

The previous prime is 4997664557. The next prime is 4997664587. The reversal of 4997664576 is 6754667994.

4997664576 is a `hidden beast` number, since 499 + 76 + 6 + 4 + 5 + 76 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2758711 + ... + 2760521.

Almost surely, 24997664576 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 4997664576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7354763040).

4997664576 is an abundant number, since it is smaller than the sum of its proper divisors (9711861504).

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

4997664576 is a wasteful number, since it uses less digits than its factorization.

4997664576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3429 (or 3413 counting only the distinct ones).

The product of its digits is 68584320, while the sum is 63.

The square root of 4997664576 is about 70694.1622483780. The cubic root of 4997664576 is about 1709.7096706235.

The spelling of 4997664576 in words is "four billion, nine hundred ninety-seven million, six hundred sixty-four thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1597 1728 1811 3194 3622 4791 5433 6388 7244 9582 10866 12776 14373 14488 16299 19164 21732 25552 28746 28976 32598 38328 43119 43464 48897 51104 57492 57952 65196 76656 86238 86928 97794 102208 114984 115904 130392 153312 172476 173856 195588 229968 260784 306624 344952 347712 391176 459936 521568 689904 782352 919872 1043136 1379808 1564704 2759616 2892167 3129408 5784334 8676501 11568668 17353002 23137336 26029503 34706004 46274672 52059006 69412008 78088509 92549344 104118012 138824016 156177018 185098688 208236024 277648032 312354036 416472048 555296064 624708072 832944096 1249416144 1665888192 2498832288 4997664576