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5764731504 = 2437131130969
BaseRepresentation
bin1010101111001101…
…01101001001110000
3112212202100200222020
411113212231021300
543301232402004
62352010111440
7262566260250
oct52746551160
915782320866
105764731504
11249904a114
12114a71b580
1370b41373c
143c9889960
1523b1638d9
hex1579ad270

5764731504 has 80 divisors (see below), whose sum is σ = 17149735680. Its totient is φ = 1634480640.

The previous prime is 5764731491. The next prime is 5764731509. The reversal of 5764731504 is 4051374675.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5764731509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21469 + ... + 109500.

It is an arithmetic number, because the mean of its divisors is an integer number (214371696).

Almost surely, 25764731504 is an apocalyptic number.

It is an amenable number.

5764731504 is an abundant number, since it is smaller than the sum of its proper divisors (11385004176).

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

5764731504 is a wasteful number, since it uses less digits than its factorization.

5764731504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131118 (or 131112 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The square root of 5764731504 is about 75925.8289648523. The cubic root of 5764731504 is about 1793.0525926331.

The spelling of 5764731504 in words is "five billion, seven hundred sixty-four million, seven hundred thirty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 131 168 262 336 393 524 786 917 1048 1572 1834 2096 2751 3144 3668 5502 6288 7336 11004 14672 22008 44016 130969 261938 392907 523876 785814 916783 1047752 1571628 1833566 2095504 2750349 3143256 3667132 5500698 6286512 7334264 11001396 14668528 17156939 22002792 34313878 44005584 51470817 68627756 102941634 120098573 137255512 205883268 240197146 274511024 360295719 411766536 480394292 720591438 823533072 960788584 1441182876 1921577168 2882365752 5764731504