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5724309664 = 251937793221
BaseRepresentation
bin1010101010011001…
…00000100010100000
3112202221022001122001
411111030200202200
543210410402124
62344003453344
7261565554313
oct52514404240
915687261561
105724309664
112478250637
121139087254
13702c2cba8
143c436697a
1523782bb44
hex1553208a0

5724309664 has 96 divisors (see below), whose sum is σ = 12341548800. Its totient is φ = 2604026880.

The previous prime is 5724309659. The next prime is 5724309671. The reversal of 5724309664 is 4669034275.

It is a super-2 number, since 2×57243096642 = 65535442258727585792, which contains 22 as substring.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 1775574 + ... + 1778794.

It is an arithmetic number, because the mean of its divisors is an integer number (128557800).

Almost surely, 25724309664 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 5724309664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6170774400).

5724309664 is an abundant number, since it is smaller than the sum of its proper divisors (6617239136).

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

5724309664 is a wasteful number, since it uses less digits than its factorization.

5724309664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3366 (or 3358 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 46.

The square root of 5724309664 is about 75659.1677458852. The cubic root of 5724309664 is about 1788.8518446630.

The spelling of 5724309664 in words is "five billion, seven hundred twenty-four million, three hundred nine thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 37 38 74 76 79 148 152 158 296 304 316 592 608 632 703 1184 1264 1406 1501 2528 2812 2923 3002 3221 5624 5846 6004 6442 11248 11692 12008 12884 22496 23384 24016 25768 46768 48032 51536 55537 61199 93536 103072 111074 119177 122398 222148 238354 244796 254459 444296 476708 489592 508918 888592 953416 979184 1017836 1777184 1906832 1958368 2035672 2264363 3813664 4071344 4528726 4834721 8142688 9057452 9414983 9669442 18114904 18829966 19338884 36229808 37659932 38677768 72459616 75319864 77355536 150639728 154711072 178884677 301279456 357769354 715538708 1431077416 2862154832 5724309664