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81667762141 = 7232967713677
BaseRepresentation
bin100110000001111000…
…1110010011111011101
321210210120022011120011
41030003301302133131
52314223421342031
6101303451323221
75620542344620
oct1140361623735
9253716264504
1081667762141
11316a93604a9
12139b2450511
137916804914
143d4a46bdb7
1521ceb056b1
hex1303c727dd

81667762141 has 64 divisors (see below), whose sum is σ = 103723130880. Its totient is φ = 62769611520.

The previous prime is 81667762129. The next prime is 81667762159. The reversal of 81667762141 is 14126776618.

It is a happy number.

It is not a de Polignac number, because 81667762141 - 211 = 81667760093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81667742141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22208595 + ... + 22212271.

It is an arithmetic number, because the mean of its divisors is an integer number (1620673920).

Almost surely, 281667762141 is an apocalyptic number.

It is an amenable number.

81667762141 is a deficient number, since it is larger than the sum of its proper divisors (22055368739).

81667762141 is a wasteful number, since it uses less digits than its factorization.

81667762141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3874.

The product of its digits is 677376, while the sum is 49.

The spelling of 81667762141 in words is "eighty-one billion, six hundred sixty-seven million, seven hundred sixty-two thousand, one hundred forty-one".

Divisors: 1 7 23 29 67 71 161 203 469 497 667 1541 1633 1943 2059 3677 4669 4757 10787 11431 13601 14413 25739 33299 44689 47357 84571 106633 109411 137953 246359 261067 312823 331499 591997 746431 765877 965671 1724513 1827469 2452559 3172919 5666257 6004541 7144411 7570943 17167913 17491489 22210433 39663799 42031787 50010877 52996601 122440423 164321453 174131689 402304247 507253181 1150250171 1218921823 2816129729 3550772267 11666823163 81667762141