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23471322864 = 2431146795189
BaseRepresentation
bin10101110110111111…
…111111011011110000
32020120202102202000020
4111312333333123300
5341032124312424
614441011523440
71460432644503
oct256677773360
966522382006
1023471322864
119a54a4a2a0
1246705b9580
1322a0913432
1411c933b13a
159258b1079
hex576fff6f0

23471322864 has 80 divisors (see below), whose sum is σ = 66288792960. Its totient is φ = 7097217280.

The previous prime is 23471322859. The next prime is 23471322907. The reversal of 23471322864 is 46822317432.

It is a super-2 number, since 2×234713228642 (a number of 22 digits) contains 22 as substring.

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, 198982 + ... + 294170.

It is an arithmetic number, because the mean of its divisors is an integer number (828609912).

Almost surely, 223471322864 is an apocalyptic number.

23471322864 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 23471322864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33144396480).

23471322864 is an abundant number, since it is smaller than the sum of its proper divisors (42817470096).

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

23471322864 is a wasteful number, since it uses less digits than its factorization.

23471322864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95678 (or 95672 counting only the distinct ones).

The product of its digits is 387072, while the sum is 42.

The spelling of 23471322864 in words is "twenty-three billion, four hundred seventy-one million, three hundred twenty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 467 528 934 1401 1868 2802 3736 5137 5604 7472 10274 11208 15411 20548 22416 30822 41096 61644 82192 95189 123288 190378 246576 285567 380756 571134 761512 1047079 1142268 1523024 2094158 2284536 3141237 4188316 4569072 6282474 8376632 12564948 16753264 25129896 44453263 50259792 88906526 133359789 177813052 266719578 355626104 488985893 533439156 711252208 977971786 1066878312 1466957679 1955943572 2133756624 2933915358 3911887144 5867830716 7823774288 11735661432 23471322864