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72412061100434 = 21121816199266683
BaseRepresentation
bin10000011101101110111111…
…001011011110100110010010
3100111101112012001010101010222
4100131232333023132212102
533442344400120203214
6414001350331553042
721152412243505166
oct2035567713364622
9314345161111128
1072412061100434
1121088867792600
128155b388bb782
1331535745b4a13
1413c4a9627cca6
1585890d1ab38e
hex41dbbf2de992

72412061100434 has 48 divisors (see below), whose sum is σ = 120069564014400. Its totient is φ = 32727321712800.

The previous prime is 72412061100371. The next prime is 72412061100451. The reversal of 72412061100434 is 43400116021427.

It is a junction number, because it is equal to n+sod(n) for n = 72412061100394 and 72412061100403.

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, 271395257 + ... + 271661939.

It is an arithmetic number, because the mean of its divisors is an integer number (2501449250300).

Almost surely, 272412061100434 is an apocalyptic number.

72412061100434 is a deficient number, since it is larger than the sum of its proper divisors (47657502913966).

72412061100434 is a wasteful number, since it uses less digits than its factorization.

72412061100434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273087 (or 273076 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The spelling of 72412061100434 in words is "seventy-two trillion, four hundred twelve billion, sixty-one million, one hundred thousand, four hundred thirty-four".

Divisors: 1 2 11 22 121 181 242 362 1991 3982 6199 12398 21901 43802 68189 136378 266683 533366 750079 1122019 1500158 2244038 2933513 5867026 12342209 24684418 32268643 48269623 64537286 96539246 135764299 271528598 530965853 1061931706 1653167917 3306335834 5840624383 11681248766 18184847087 36369694174 200033317957 299223392977 400066635914 598446785954 3291457322747 6582914645494 36206030550217 72412061100434