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90647090112 = 26329161310093
BaseRepresentation
bin101010001101011111…
…1001101001111000000
322122222100111021212210
41110122333031033000
52441121123340422
6105350453422120
76356214360435
oct1243277151700
9278870437783
1090647090112
1135496a12507
121569963a940
138717bc7937
14455cc21b8c
15255809c10c
hex151afcd3c0

90647090112 has 112 divisors (see below), whose sum is σ = 248285751840. Its totient is φ = 29152800768.

The previous prime is 90647090089. The next prime is 90647090119. The reversal of 90647090112 is 21109074609.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90647090119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8976138 + ... + 8986230.

It is an arithmetic number, because the mean of its divisors is an integer number (2216837070).

Almost surely, 290647090112 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 90647090112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124142875920).

90647090112 is an abundant number, since it is smaller than the sum of its proper divisors (157638661728).

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

90647090112 is a wasteful number, since it uses less digits than its factorization.

90647090112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11750 (or 11740 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The spelling of 90647090112 in words is "ninety billion, six hundred forty-seven million, ninety thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 696 928 1392 1613 1856 2784 3226 4839 5568 6452 9678 10093 12904 19356 20186 25808 30279 38712 40372 46777 51616 60558 77424 80744 93554 103232 121116 140331 154848 161488 187108 242232 280662 292697 309696 322976 374216 484464 561324 585394 645952 748432 878091 968928 1122648 1170788 1496864 1756182 1937856 2245296 2341576 2993728 3512364 4490592 4683152 7024728 8981184 9366304 14049456 16280009 18732608 28098912 32560018 48840027 56197824 65120036 97680054 130240072 195360108 260480144 390720216 472120261 520960288 781440432 944240522 1041920576 1416360783 1562880864 1888481044 2832721566 3125761728 3776962088 5665443132 7553924176 11330886264 15107848352 22661772528 30215696704 45323545056 90647090112