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67271506474734 = 2342932671753047
BaseRepresentation
bin11110100101110110111100…
…01111110011011011101110
322211012002111221200110120000
433102323132033303123232
532304134021124142414
6355024034202005130
720112130433235132
oct1722733617633356
9284162457613500
1067271506474734
111a48675a705461
1276658034a67a6
132b6c8a2a8b9a3
141287d5b7733c2
157b9d4620eb09
hex3d2ede3f36ee

67271506474734 has 80 divisors (see below), whose sum is σ = 151260982111008. Its totient is φ = 22346045926848.

The previous prime is 67271506474709. The next prime is 67271506474787. The reversal of 67271506474734 is 43747460517276.

67271506474734 is a `hidden beast` number, since 6 + 7 + 2 + 7 + 150 + 6 + 4 + 7 + 473 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1268122599 + ... + 1268175645.

Almost surely, 267271506474734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67271506474734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75630491055504).

67271506474734 is an abundant number, since it is smaller than the sum of its proper divisors (83989475636274).

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

67271506474734 is a wasteful number, since it uses less digits than its factorization.

67271506474734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80071 (or 80062 counting only the distinct ones).

The product of its (nonzero) digits is 165957120, while the sum is 63.

The spelling of 67271506474734 in words is "sixty-seven trillion, two hundred seventy-one billion, five hundred six million, four hundred seventy-four thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 293 586 879 1758 2637 5274 7911 15822 23733 26717 47466 53047 53434 80151 106094 159141 160302 240453 318282 477423 480906 721359 954846 1432269 1442718 2164077 2864538 4296807 4328154 7828081 8593614 15542771 15656162 23484243 31085542 46628313 46968486 70452729 93256626 139884939 140905458 211358187 279769878 419654817 422716374 634074561 839309634 1258964451 1268149122 1417256699 2517928902 2834513398 4251770097 8503540194 12755310291 25510620582 38265930873 76531861746 114797792619 229595585238 415256212807 830512425614 1245768638421 2491537276842 3737305915263 7474611830526 11211917745789 22423835491578 33635753237367 67271506474734