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23632348680 = 23325239274667
BaseRepresentation
bin10110000000100110…
…010000011000001000
32020222222102200220100
4112000212100120020
5341344340124210
614505003125400
71464426435513
oct260046203010
966888380810
1023632348680
11a027932386
1246b6513860
1322c80a2a95
141202895d7a
15934abc5c0
hex580990608

23632348680 has 96 divisors (see below), whose sum is σ = 77126774400. Its totient is φ = 6275568768.

The previous prime is 23632348643. The next prime is 23632348681. The reversal of 23632348680 is 8684323632.

23632348680 is a `hidden beast` number, since 2 + 3 + 632 + 3 + 4 + 8 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (23632348681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51294 + ... + 223373.

It is an arithmetic number, because the mean of its divisors is an integer number (803403900).

Almost surely, 223632348680 is an apocalyptic number.

23632348680 is a gapful number since it is divisible by the number (20) 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 23632348680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38563387200).

23632348680 is an abundant number, since it is smaller than the sum of its proper divisors (53494425720).

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

23632348680 is a wasteful number, since it uses less digits than its factorization.

23632348680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274923 (or 274916 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 23632348680 in words is "twenty-three billion, six hundred thirty-two million, three hundred forty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 239 360 478 717 956 1195 1434 1912 2151 2390 2868 3585 4302 4780 5736 7170 8604 9560 10755 14340 17208 21510 28680 43020 86040 274667 549334 824001 1098668 1373335 1648002 2197336 2472003 2746670 3296004 4120005 4944006 5493340 6592008 8240010 9888012 10986680 12360015 16480020 19776024 24720030 32960040 49440060 65645413 98880120 131290826 196936239 262581652 328227065 393872478 525163304 590808717 656454130 787744956 984681195 1181617434 1312908260 1575489912 1969362390 2363234868 2625816520 2954043585 3938724780 4726469736 5908087170 7877449560 11816174340 23632348680