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41629294161972 = 223211188955650863
BaseRepresentation
bin10010111011100100100110…
…10010100111000000110100
312110101201111002100002220200
421131302103102213000310
520424023243301140342
6224312122252400500
711524421500651566
oct1135622322470064
9173351432302820
1041629294161972
111229a98030aa80
124804052476130
131a2c81958114a
14a3cc23597336
154c2d17ea294c
hex25dc934a7034

41629294161972 has 72 divisors (see below), whose sum is σ = 114856705192320. Its totient is φ = 12608259294720.

The previous prime is 41629294161937. The next prime is 41629294161989. The reversal of 41629294161972 is 27916149292614.

41629294161972 is a `hidden beast` number, since 4 + 1 + 6 + 2 + 9 + 2 + 9 + 4 + 1 + 619 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27077388 + ... + 28573475.

It is an arithmetic number, because the mean of its divisors is an integer number (1595232016560).

Almost surely, 241629294161972 is an apocalyptic number.

It is an amenable number.

41629294161972 is an abundant number, since it is smaller than the sum of its proper divisors (73227411030348).

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

41629294161972 is a wasteful number, since it uses less digits than its factorization.

41629294161972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55652773 (or 55652768 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The spelling of 41629294161972 in words is "forty-one trillion, six hundred twenty-nine billion, two hundred ninety-four million, one hundred sixty-one thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 1889 3778 5667 7556 11334 17001 20779 22668 34002 41558 62337 68004 83116 124674 187011 249348 374022 748044 55650863 111301726 166952589 222603452 333905178 500857767 612159493 667810356 1001715534 1224318986 1836478479 2003431068 2448637972 3672956958 5509435437 7345913916 11018870874 22037741748 105124480207 210248960414 315373440621 420497920828 630746881242 946120321863 1156369282277 1261493762484 1892240643726 2312738564554 3469107846831 3784481287452 4625477129108 6938215693662 10407323540493 13876431387324 20814647080986 41629294161972