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86775939968 = 272954742737
BaseRepresentation
bin101000011010000111…
…1111100001110000000
322021222120020111012112
41100310033330032000
52410204120034333
6103510405314452
76161250214424
oct1206417741600
9267876214175
1086775939968
113388a835073
1214999105a28
13824bbab353
1442b2a4cb84
1523cd2c9948
hex14343fc380

86775939968 has 64 divisors (see below), whose sum is σ = 179166243600. Its totient is φ = 41814269952.

The previous prime is 86775939967. The next prime is 86775939977. The reversal of 86775939968 is 86993957768.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86775939967) 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, 2009096 + ... + 2051832.

Almost surely, 286775939968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86775939968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89583121800).

86775939968 is an abundant number, since it is smaller than the sum of its proper divisors (92390303632).

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

86775939968 is a wasteful number, since it uses less digits than its factorization.

86775939968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43327 (or 43315 counting only the distinct ones).

The product of its digits is 1234517760, while the sum is 77.

The spelling of 86775939968 in words is "eighty-six billion, seven hundred seventy-five million, nine hundred thirty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 547 928 1094 1856 2188 3712 4376 8752 15863 17504 31726 35008 42737 63452 70016 85474 126904 170948 253808 341896 507616 683792 1015232 1239373 1367584 2030464 2478746 2735168 4957492 5470336 9914984 19829968 23377139 39659936 46754278 79319872 93508556 158639744 187017112 374034224 677937031 748068448 1355874062 1496136896 2711748124 2992273792 5423496248 10846992496 21693984992 43387969984 86775939968