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23625671440 = 245726026957
BaseRepresentation
bin10110000000001100…
…110010001100010000
32020222111212110110011
4112000030302030100
5341341132441230
614504204044304
71464315615400
oct260014621420
966874773404
1023625671440
11a0240916a8
1246b4233694
1322c68a5757
141201a38800
159341ede2a
hex580332310

23625671440 has 60 divisors (see below), whose sum is σ = 63897808716. Its totient is φ = 8100228864.

The previous prime is 23625671413. The next prime is 23625671471. The reversal of 23625671440 is 4417652632.

It can be written as a sum of positive squares in 2 ways, for example, as 9041727744 + 14583943696 = 95088^2 + 120764^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 23625671393 and 23625671402.

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 11 ways as a sum of consecutive naturals, for example, 3009559 + ... + 3017398.

Almost surely, 223625671440 is an apocalyptic number.

23625671440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23625671440 is an abundant number, since it is smaller than the sum of its proper divisors (40272137276).

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

23625671440 is a wasteful number, since it uses less digits than its factorization.

23625671440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6026984 (or 6026971 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The spelling of 23625671440 in words is "twenty-three billion, six hundred twenty-five million, six hundred seventy-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3920 6026957 12053914 24107828 30134785 42188699 48215656 60269570 84377398 96431312 120539140 168754796 210943495 241078280 295320893 337509592 421886990 482156560 590641786 675019184 843773980 1181283572 1476604465 1687547960 2362567144 2953208930 3375095920 4725134288 5906417860 11812835720 23625671440