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23831391394624 = 2611291319884981
BaseRepresentation
bin1010110101100101011011…
…00111100101101101000000
310010101020222122022121001211
411122302231213211231000
511110423142144111444
6122403553504335504
75006522044361662
oct532625547455500
9103336878277054
1023831391394624
117658922182950
12280a824914594
13103b3a14b0008
145c5634636532
152b4d9873ac34
hex15acad9e5b40

23831391394624 has 112 divisors (see below), whose sum is σ = 53409017692800. Its totient is φ = 10450976614400.

The previous prime is 23831391394619. The next prime is 23831391394649. The reversal of 23831391394624 is 42649319313832.

It is a super-2 number, since 2×238313913946242 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26486214 + ... + 27371194.

It is an arithmetic number, because the mean of its divisors is an integer number (476866229400).

Almost surely, 223831391394624 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 23831391394624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26704508846400).

23831391394624 is an abundant number, since it is smaller than the sum of its proper divisors (29577626298176).

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

23831391394624 is a wasteful number, since it uses less digits than its factorization.

23831391394624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886352 (or 886342 counting only the distinct ones).

The product of its digits is 20155392, while the sum is 58.

The spelling of 23831391394624 in words is "twenty-three trillion, eight hundred thirty-one billion, three hundred ninety-one million, three hundred ninety-four thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 176 232 319 352 464 638 704 928 1276 1319 1856 2552 2638 5104 5276 10208 10552 14509 20416 21104 29018 38251 42208 58036 76502 84416 116072 153004 232144 306008 420761 464288 612016 841522 884981 928576 1224032 1683044 1769962 2448064 3366088 3539924 6732176 7079848 9734791 13464352 14159696 19469582 25664449 26928704 28319392 38939164 51328898 56638784 77878328 102657796 155756656 205315592 282308939 311513312 410631184 564617878 623026624 821262368 1129235756 1167289939 1642524736 2258471512 2334579878 4516943024 4669159756 9033886048 9338319512 12840189329 18067772096 18676639024 25680378658 33851408231 37353278048 51360757316 67702816462 74706556096 102721514632 135405632924 205443029264 270811265848 372365490541 410886058528 541622531696 744730981082 821772117056 1083245063392 1489461962164 2166490126784 2978923924328 5957847848656 11915695697312 23831391394624