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72412614099 = 3273471373643
BaseRepresentation
bin100001101110000100…
…0001100110111010011
320220220120002221020100
41003130020030313103
52141300112122344
653133233343443
75142311031000
oct1033410146723
9226816087210
1072412614099
112878a03a821
121204aa07b83
136aa022b967
14370d1da8a7
151d3c329569
hex10dc20cdd3

72412614099 has 96 divisors (see below), whose sum is σ = 125516851200. Its totient is φ = 40191596928.

The previous prime is 72412614091. The next prime is 72412614139. The reversal of 72412614099 is 99041621427.

72412614099 is a `hidden beast` number, since 7 + 2 + 412 + 6 + 140 + 99 = 666.

It is not a de Polignac number, because 72412614099 - 23 = 72412614091 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72412614091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19875372 + ... + 19879014.

It is an arithmetic number, because the mean of its divisors is an integer number (1307467200).

Almost surely, 272412614099 is an apocalyptic number.

72412614099 is a deficient number, since it is larger than the sum of its proper divisors (53104237101).

72412614099 is a wasteful number, since it uses less digits than its factorization.

72412614099 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3854 (or 3837 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 72412614099 in words is "seventy-two billion, four hundred twelve million, six hundred fourteen thousand, ninety-nine".

Divisors: 1 3 7 9 21 47 49 63 137 141 147 329 343 411 423 441 959 987 1029 1233 2303 2877 2961 3087 3643 6439 6713 6909 8631 10929 16121 19317 20139 20727 25501 32787 45073 46991 48363 57951 60417 76503 135219 140973 145089 171221 178507 229509 315511 405657 422919 499091 513663 535521 946533 1198547 1249549 1497273 1540989 1606563 2208577 2839599 3493637 3595641 3748647 4491819 6625731 8389829 10480911 10786923 11245941 19877193 23457277 24455459 25169487 31442733 58728803 70371831 73366377 75508461 164200939 171188213 176186409 211115493 220099131 492602817 513564639 528559227 1149406573 1477808451 1540693917 3448219719 8045846011 10344659157 24137538033 72412614099