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131784898976641 = 3732153164101589
BaseRepresentation
bin11101111101101110010000…
…000101110001101110000001
3122021121111212012022222120001
4131331232100011301232001
5114233130433114223031
61144141051413320001
736521100435526411
oct3575562005615601
9567544765288501
10131784898976641
1138a99730935519
1212944968036001
13586c35506cac1
1424785cd16a641
1510380634d4861
hex77db90171b81

131784898976641 has 8 divisors (see below), whose sum is σ = 132199584497640. Its totient is φ = 131370541663872.

The previous prime is 131784898976617. The next prime is 131784898976669. The reversal of 131784898976641 is 146679898487131.

It can be written as a sum of positive squares in 4 ways, for example, as 69337949041 + 131715561027600 = 263321^2 + 11476740^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131784898976641 - 219 = 131784898452353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131784898971641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81247726 + ... + 82853863.

It is an arithmetic number, because the mean of its divisors is an integer number (16524948062205).

Almost surely, 2131784898976641 is an apocalyptic number.

It is an amenable number.

131784898976641 is a deficient number, since it is larger than the sum of its proper divisors (414685520999).

131784898976641 is a wasteful number, since it uses less digits than its factorization.

131784898976641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164104115.

The product of its digits is 3511517184, while the sum is 82.

The spelling of 131784898976641 in words is "one hundred thirty-one trillion, seven hundred eighty-four billion, eight hundred ninety-eight million, nine hundred seventy-six thousand, six hundred forty-one".

Divisors: 1 373 2153 803069 164101589 61209892697 353310721117 131784898976641