Search a number
-
+
23125208544 = 2532142756269
BaseRepresentation
bin10101100010010111…
…101010110111100000
32012200122011022102100
4111202113222313200
5334330023133134
614342405250400
71446031013034
oct254227526740
965618138370
1023125208544
1198976394a9
124594703a00
132246cbaa69
1411953a21c4
159052e3999
hex5625eade0

23125208544 has 72 divisors (see below), whose sum is σ = 65809565640. Its totient is φ = 7702864128.

The previous prime is 23125208489. The next prime is 23125208563. The reversal of 23125208544 is 44580252132.

23125208544 is a `hidden beast` number, since 2 + 3 + 12 + 520 + 85 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 23125208499 and 23125208508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 382842 + ... + 439110.

It is an arithmetic number, because the mean of its divisors is an integer number (914021745).

Almost surely, 223125208544 is an apocalyptic number.

23125208544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23125208544 is an abundant number, since it is smaller than the sum of its proper divisors (42684357096).

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

23125208544 is a wasteful number, since it uses less digits than its factorization.

23125208544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57712 (or 57701 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 23125208544 in words is "twenty-three billion, one hundred twenty-five million, two hundred eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1427 2854 4281 5708 8562 11416 12843 17124 22832 25686 34248 45664 51372 56269 68496 102744 112538 136992 168807 205488 225076 337614 410976 450152 506421 675228 900304 1012842 1350456 1800608 2025684 2700912 4051368 5401824 8102736 16205472 80295863 160591726 240887589 321183452 481775178 642366904 722662767 963550356 1284733808 1445325534 1927100712 2569467616 2890651068 3854201424 5781302136 7708402848 11562604272 23125208544