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23212657736064 = 2732103195629869
BaseRepresentation
bin1010100011100100111100…
…01101111111100110000000
310001012002221000210002012200
411101302132031333212000
511020304010340023224
6121211425302553200
74614026204143416
oct521623615774600
9101162830702180
1023212657736064
11743a484159405
12272a928138800
13cc4c37629854
145a36da3492b6
152a3c33de45c9
hex151c9e37f980

23212657736064 has 96 divisors (see below), whose sum is σ = 67445353981200. Its totient is φ = 7662430669824.

The previous prime is 23212657736041. The next prime is 23212657736069. The reversal of 23212657736064 is 46063775621232.

23212657736064 is a `hidden beast` number, since 2 + 3 + 2 + 1 + 2 + 6 + 577 + 3 + 6 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 23212657736064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23212657736069) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 97696279 + ... + 97933590.

Almost surely, 223212657736064 is an apocalyptic number.

23212657736064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23212657736064 is an abundant number, since it is smaller than the sum of its proper divisors (44232696245136).

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

23212657736064 is a wasteful number, since it uses less digits than its factorization.

23212657736064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195629992 (or 195629977 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 23212657736064 in words is "twenty-three trillion, two hundred twelve billion, six hundred fifty-seven million, seven hundred thirty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 103 128 144 192 206 288 309 384 412 576 618 824 927 1152 1236 1648 1854 2472 3296 3708 4944 6592 7416 9888 13184 14832 19776 29664 39552 59328 118656 195629869 391259738 586889607 782519476 1173779214 1565038952 1760668821 2347558428 3130077904 3521337642 4695116856 6260155808 7042675284 9390233712 12520311616 14085350568 18780467424 20149876507 25040623232 28170701136 37560934848 40299753014 56341402272 60449629521 75121869696 80599506028 112682804544 120899259042 161199012056 181348888563 225365609088 241798518084 322398024112 362697777126 483597036168 644796048224 725395554252 967194072336 1289592096448 1450791108504 1934388144672 2579184192896 2901582217008 3868776289344 5803164434016 7737552578688 11606328868032 23212657736064