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91994594944 = 277148369233
BaseRepresentation
bin101010110101101001…
…1100001111010000000
322210110021001122000011
41111223103201322000
53001401104014234
6110132311234304
76434466104110
oct1255323417200
9283407048004
1091994594944
113601860686a
12159b4978994
1388a1126385
144649b8b040
1525d6522b64
hex156b4e1e80

91994594944 has 64 divisors (see below), whose sum is σ = 209596242240. Its totient is φ = 39399100416.

The previous prime is 91994594899. The next prime is 91994594947. The reversal of 91994594944 is 44949549919.

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

It is a self number, because there is not a number n which added to its sum of digits gives 91994594944.

It is not an unprimeable number, because it can be changed into a prime (91994594947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1294152 + ... + 1363384.

It is an arithmetic number, because the mean of its divisors is an integer number (3274941285).

Almost surely, 291994594944 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 91994594944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104798121120).

91994594944 is an abundant number, since it is smaller than the sum of its proper divisors (117601647296).

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

91994594944 is a wasteful number, since it uses less digits than its factorization.

91994594944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70737 (or 70725 counting only the distinct ones).

The product of its digits is 75582720, while the sum is 67.

The spelling of 91994594944 in words is "ninety-one billion, nine hundred ninety-four million, five hundred ninety-four thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 1483 2966 5932 10381 11864 20762 23728 41524 47456 69233 83048 94912 138466 166096 189824 276932 332192 484631 553864 664384 969262 1107728 1328768 1938524 2215456 3877048 4430912 7754096 8861824 15508192 31016384 62032768 102672539 205345078 410690156 718707773 821380312 1437415546 1642760624 2874831092 3285521248 5749662184 6571042496 11499324368 13142084992 22998648736 45997297472 91994594944