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29626720000272 = 243422860123457
BaseRepresentation
bin1101011110010000000100…
…00111110001100100010000
310212220021202001112001010000
412233020002013301210100
512340401010310002042
6143002154405210000
76145313511631503
oct657100207614420
9125807661461100
1029626720000272
11949269208940a
1233a5a34700900
13136ba31797275
14745d25b8113a
153659d40a774c
hex1af2021f1910

29626720000272 has 50 divisors (see below), whose sum is σ = 85748323090958. Its totient is φ = 9875573332992.

The previous prime is 29626720000261. The next prime is 29626720000277. The reversal of 29626720000272 is 27200002762692.

29626720000272 is a `hidden beast` number, since 296 + 26 + 72 + 0 + 0 + 0 + 0 + 272 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25518218021136 + 4108501979136 = 5051556^2 + 2026944^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (29626720000277) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 11430060433 + ... + 11430063024.

Almost surely, 229626720000272 is an apocalyptic number.

It is an amenable number.

29626720000272 is an abundant number, since it is smaller than the sum of its proper divisors (56121603090686).

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

29626720000272 is a wasteful number, since it uses less digits than its factorization.

29626720000272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22860123477 (or 22860123462 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 29626720000272 in words is "twenty-nine trillion, six hundred twenty-six billion, seven hundred twenty million, two hundred seventy-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 22860123457 45720246914 68580370371 91440493828 137160740742 182880987656 205741111113 274321481484 365761975312 411482222226 548642962968 617223333339 822964444452 1097285925936 1234446666678 1645928888904 1851670000017 2468893333356 3291857777808 3703340000034 4937786666712 7406680000068 9875573333424 14813360000136 29626720000272