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67334006740716 = 22342953135212107
BaseRepresentation
bin11110100111101011010111…
…00011011001011011101100
322211102001211200221221110000
433103311223203121123230
532311200021211200331
6355112452103344300
720116502312600052
oct1723655343313354
9284361750857400
1067334006740716
111a500212458341
127675946752090
132b7575350c3b1
14128adaa3061d2
157bb7a31e20e6
hex3d3d6b8d96ec

67334006740716 has 120 divisors (see below), whose sum is σ = 185529941871120. Its totient is φ = 21261833244288.

The previous prime is 67334006740633. The next prime is 67334006740739. The reversal of 67334006740716 is 61704760043376.

67334006740716 is a `hidden beast` number, since 6 + 73 + 3 + 400 + 67 + 40 + 71 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 67108066 + ... + 68104041.

It is an arithmetic number, because the mean of its divisors is an integer number (1546082848926).

Almost surely, 267334006740716 is an apocalyptic number.

It is an amenable number.

67334006740716 is an abundant number, since it is smaller than the sum of its proper divisors (118195935130404).

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

67334006740716 is a wasteful number, since it uses less digits than its factorization.

67334006740716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135212205 (or 135212194 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 54.

The spelling of 67334006740716 in words is "sixty-seven trillion, three hundred thirty-four billion, six million, seven hundred forty thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 53 54 58 81 87 106 108 116 159 162 174 212 261 318 324 348 477 522 636 783 954 1044 1431 1537 1566 1908 2349 2862 3074 3132 4293 4611 4698 5724 6148 8586 9222 9396 13833 17172 18444 27666 41499 55332 82998 124497 165996 248994 497988 135212107 270424214 405636321 540848428 811272642 1216908963 1622545284 2433817926 3650726889 3921151103 4867635852 7166241671 7301453778 7842302206 10952180667 11763453309 14332483342 14602907556 15684604412 21498725013 21904361334 23526906618 28664966684 35290359927 42997450026 43808722668 47053813236 64496175039 70580719854 85994900052 105871079781 128992350078 141161439708 193488525117 207821008459 211742159562 257984700156 317613239343 386977050234 415642016918 423484319124 580465575351 623463025377 635226478686 773954100468 831284033836 1160931150702 1246926050754 1270452957372 1870389076131 2321862301404 2493852101508 3740778152262 5611167228393 7481556304524 11222334456786 16833501685179 22444668913572 33667003370358 67334006740716