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84231977913248 = 2511557429614707
BaseRepresentation
bin10011001001101111001001…
…000111110100101110100000
3102001020111110100220201022212
4103021233021013310232200
542020024042321210443
6455051345250221252
723512362635631314
oct2311571107645640
9361214410821285
1084231977913248
1124925643677490
12954487ab84828
133800070055079
1416b2bc6da9b44
159b1101440618
hex4c9bc91f4ba0

84231977913248 has 48 divisors (see below), whose sum is σ = 181232105340384. Its totient is φ = 38218524245760.

The previous prime is 84231977913221. The next prime is 84231977913269.

84231977913248 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×842319779132482 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 214611290 + ... + 215003417.

It is an arithmetic number, because the mean of its divisors is an integer number (3775668861258).

Almost surely, 284231977913248 is an apocalyptic number.

84231977913248 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

84231977913248 is an abundant number, since it is smaller than the sum of its proper divisors (97000127427136).

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

84231977913248 is a wasteful number, since it uses less digits than its factorization.

84231977913248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429615285 (or 429615277 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 68.

The spelling of 84231977913248 in words is "eighty-four trillion, two hundred thirty-one billion, nine hundred seventy-seven million, nine hundred thirteen thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 557 1114 2228 4456 6127 8912 12254 17824 24508 49016 98032 196064 429614707 859229414 1718458828 3436917656 4725761777 6873835312 9451523554 13747670624 18903047108 37806094216 75612188432 151224376864 239295391799 478590783598 957181567196 1914363134392 2632249309789 3828726268784 5264498619578 7657452537568 10528997239156 21057994478312 42115988956624 84231977913248