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73335346668072 = 23321139013685677
BaseRepresentation
bin10000101011001010110111…
…010010011010001000101000
3100121122210100101210212010100
4100223022313102122020220
534103011242221334242
6415545443153545400
721306206153365056
oct2053126722321050
9317583311725110
1073335346668072
1121404389388a75
128284a6b275260
1331bc6553468c8
14141764204b1d6
15872949b0554c
hex42b2b749a228

73335346668072 has 48 divisors (see below), whose sum is σ = 200374232621940. Its totient is φ = 24228787097088.

The previous prime is 73335346668049. The next prime is 73335346668097. The reversal of 73335346668072 is 27086664353337.

It can be written as a sum of positive squares in 2 ways, for example, as 73334662636356 + 684031716 = 8563566^2 + 26154^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4506834703 + ... + 4506850974.

Almost surely, 273335346668072 is an apocalyptic number.

73335346668072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

73335346668072 is an abundant number, since it is smaller than the sum of its proper divisors (127038885953868).

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

73335346668072 is a wasteful number, since it uses less digits than its factorization.

73335346668072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9013685802 (or 9013685795 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 63.

The spelling of 73335346668072 in words is "seventy-three trillion, three hundred thirty-five billion, three hundred forty-six million, six hundred sixty-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 226 339 452 678 904 1017 1356 2034 2712 4068 8136 9013685677 18027371354 27041057031 36054742708 54082114062 72109485416 81123171093 108164228124 162246342186 216328456248 324492684372 648985368744 1018546481501 2037092963002 3055639444503 4074185926004 6111278889006 8148371852008 9166918333509 12222557778012 18333836667018 24445115556024 36667673334036 73335346668072