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72760770342 = 23313234506427
BaseRepresentation
bin100001111000011100…
…0010011111100100110
320221210211020002211000
41003300320103330212
52143003224122332
653231551454130
75154036225531
oct1036070237446
9227724202730
1072760770342
1128948615757
1212127527346
136b273ba880
143743547a18
151d5cb9bb7c
hex10f0e13f26

72760770342 has 64 divisors (see below), whose sum is σ = 181699176960. Its totient is φ = 21414536352.

The previous prime is 72760770331. The next prime is 72760770343. The reversal of 72760770342 is 24307706727.

72760770342 is a `hidden beast` number, since 7 + 2 + 7 + 607 + 7 + 0 + 34 + 2 = 666.

It is a super-2 number, since 2×727607703422 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72760770343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2237068 + ... + 2269359.

It is an arithmetic number, because the mean of its divisors is an integer number (2839049640).

Almost surely, 272760770342 is an apocalyptic number.

72760770342 is an abundant number, since it is smaller than the sum of its proper divisors (108938406618).

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

72760770342 is a wasteful number, since it uses less digits than its factorization.

72760770342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4506474 (or 4506468 counting only the distinct ones).

The product of its (nonzero) digits is 691488, while the sum is 45.

The spelling of 72760770342 in words is "seventy-two billion, seven hundred sixty million, seven hundred seventy thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 13 18 23 26 27 39 46 54 69 78 117 138 207 234 299 351 414 598 621 702 897 1242 1794 2691 5382 8073 16146 4506427 9012854 13519281 27038562 40557843 58583551 81115686 103647821 117167102 121673529 175750653 207295642 243347058 310943463 351501306 527251959 621886926 932830389 1054503918 1347421673 1581755877 1865660778 2694843346 2798491167 3163511754 4042265019 5596982334 8084530038 12126795057 24253590114 36380385171 72760770342