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89795340416 = 271757377193
BaseRepresentation
bin101001110100000111…
…0000010100010000000
322120202222202220221202
41103220032002202000
52432400101343131
6105130145440332
76326132541245
oct1235016024200
9276688686852
1089795340416
113509a146341
12154a03400a8
1386105c6132
1444bba655cc
152508401bcb
hex14e8382880

89795340416 has 64 divisors (see below), whose sum is σ = 189471399480. Its totient is φ = 42243391488.

The previous prime is 89795340409. The next prime is 89795340487. The reversal of 89795340416 is 61404359798.

It can be written as a sum of positive squares in 4 ways, for example, as 38375242816 + 51420097600 = 195896^2 + 226760^2 .

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

It is a super-3 number, since 3×897953404163 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12480116 + ... + 12487308.

Almost surely, 289795340416 is an apocalyptic number.

It is an amenable number.

89795340416 is an abundant number, since it is smaller than the sum of its proper divisors (99676059064).

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

89795340416 is a wasteful number, since it uses less digits than its factorization.

89795340416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12961 (or 12949 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 56.

The spelling of 89795340416 in words is "eighty-nine billion, seven hundred ninety-five million, three hundred forty thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 5737 7193 11474 14386 22948 28772 45896 57544 91792 97529 115088 122281 183584 195058 230176 244562 367168 390116 460352 489124 734336 780232 920704 978248 1560464 1956496 3120928 3912992 6241856 7825984 12483712 15651968 41266241 82532482 165064964 330129928 660259856 701526097 1320519712 1403052194 2641039424 2806104388 5282078848 5612208776 11224417552 22448835104 44897670208 89795340416