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4920497664 = 2937145119
BaseRepresentation
bin1001001010100100…
…01101011000000000
3110200220210011212020
410211102031120000
540034121411124
62132131201440
7232635353145
oct44522153000
913626704766
104920497664
1120a55467a5
12b53a46280
13605543ba4
143496c83cc
151dbea0379
hex12548d600

4920497664 has 80 divisors (see below), whose sum is σ = 13293434880. Its totient is φ = 1617029120.

The previous prime is 4920497639. The next prime is 4920497671. The reversal of 4920497664 is 4667940294.

It is a super-2 number, since 2×49204976642 = 48422594522858913792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86497 + ... + 131615.

It is an arithmetic number, because the mean of its divisors is an integer number (166167936).

Almost surely, 24920497664 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 4920497664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6646717440).

4920497664 is an abundant number, since it is smaller than the sum of its proper divisors (8372937216).

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

4920497664 is an equidigital number, since it uses as much as digits as its factorization.

4920497664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45211 (or 45195 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The square root of 4920497664 is about 70146.2590877090. The cubic root of 4920497664 is about 1700.8643429299.

The spelling of 4920497664 in words is "four billion, nine hundred twenty million, four hundred ninety-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 256 284 384 426 512 568 768 852 1136 1536 1704 2272 3408 4544 6816 9088 13632 18176 27264 36352 45119 54528 90238 109056 135357 180476 270714 360952 541428 721904 1082856 1443808 2165712 2887616 3203449 4331424 5775232 6406898 8662848 9610347 11550464 12813796 17325696 19220694 23100928 25627592 34651392 38441388 51255184 69302784 76882776 102510368 153765552 205020736 307531104 410041472 615062208 820082944 1230124416 1640165888 2460248832 4920497664