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131778737141681 = 741975717827987
BaseRepresentation
bin11101111101101000100000…
…110100001111011110110001
3122021120220221202202100001102
4131331220200310033132301
5114233030323202013211
61144134152140014145
736520461645020120
oct3575504064173661
9567526852670042
10131778737141681
1138a97059719733
1212943728531355
13586b8b25c0306
1424781a6a71ab7
151037d02580a3b
hex77da20d0f7b1

131778737141681 has 32 divisors (see below), whose sum is σ = 155895488324352. Its totient is φ = 109042974167040.

The previous prime is 131778737141671. The next prime is 131778737141693. The reversal of 131778737141681 is 186141737877131.

It is a cyclic number.

It is not a de Polignac number, because 131778737141681 - 226 = 131778670032817 is a prime.

It is a super-2 number, since 2×1317787371416812 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131778737141621) 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, 158741570 + ... + 159569556.

It is an arithmetic number, because the mean of its divisors is an integer number (4871734010136).

Almost surely, 2131778737141681 is an apocalyptic number.

It is an amenable number.

131778737141681 is a deficient number, since it is larger than the sum of its proper divisors (24116751182671).

131778737141681 is an equidigital number, since it uses as much as digits as its factorization.

131778737141681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833849.

The product of its digits is 33191424, while the sum is 65.

The spelling of 131778737141681 in words is "one hundred thirty-one trillion, seven hundred seventy-eight billion, seven hundred thirty-seven million, one hundred forty-one thousand, six hundred eighty-one".

Divisors: 1 7 41 97 287 679 3977 5717 27839 40019 234397 554549 827987 1640779 3881843 5795909 22736509 33947467 80314739 159155563 237632269 562203173 3292904299 4733601679 23050330093 33135211753 194077668839 459159362863 1358543681873 3214115540041 18825533877383 131778737141681