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23724310944 = 2531399711831
BaseRepresentation
bin10110000110000101…
…000100000110100000
32021020101110212102010
4112012011010012200
5342041410422234
614522050152520
71466624213205
oct260605040640
967211425363
1023724310944
11a074833a54
124721282740
132311160c19
141210b93cac
1593cbd56e9
hex5861441a0

23724310944 has 96 divisors (see below), whose sum is σ = 62823237120. Its totient is φ = 7838841600.

The previous prime is 23724310913. The next prime is 23724310949. The reversal of 23724310944 is 44901342732.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×237243109442 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23724310949) by changing a digit.

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, 12956109 + ... + 12957939.

It is an arithmetic number, because the mean of its divisors is an integer number (654408720).

Almost surely, 223724310944 is an apocalyptic number.

23724310944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23724310944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31411618560).

23724310944 is an abundant number, since it is smaller than the sum of its proper divisors (39098926176).

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

23724310944 is a wasteful number, since it uses less digits than its factorization.

23724310944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2954 (or 2946 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 23724310944 in words is "twenty-three billion, seven hundred twenty-four million, three hundred ten thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 139 278 417 556 834 971 1112 1668 1831 1942 2224 2913 3336 3662 3884 4448 5493 5826 6672 7324 7768 10986 11652 13344 14648 15536 21972 23304 29296 31072 43944 46608 58592 87888 93216 134969 175776 254509 269938 404907 509018 539876 763527 809814 1018036 1079752 1527054 1619628 1777901 2036072 2159504 3054108 3239256 3555802 4072144 4319008 5333703 6108216 6478512 7111604 8144288 10667406 12216432 12957024 14223208 21334812 24432864 28446416 42669624 56892832 85339248 170678496 247128239 494256478 741384717 988512956 1482769434 1977025912 2965538868 3954051824 5931077736 7908103648 11862155472 23724310944