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89742098592 = 25321718329677
BaseRepresentation
bin101001110010100001…
…0111100000010100000
322120122021120221220100
41103211002330002200
52432242434123332
6105121004342400
76324615152256
oct1234502740240
9276567527810
1089742098592
1135072090a33
1215486544a00
1386025742b3
1444b49665d6
1525038d667c
hex14e50bc0a0

89742098592 has 72 divisors (see below), whose sum is σ = 270216113076. Its totient is φ = 28154382336.

The previous prime is 89742098561. The next prime is 89742098597. The reversal of 89742098592 is 29589024798.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 88658635536 + 1083463056 = 297756^2 + 32916^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (89742098597) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9159943 + ... + 9169734.

Almost surely, 289742098592 is an apocalyptic number.

It is an amenable number.

89742098592 is an abundant number, since it is smaller than the sum of its proper divisors (180474014484).

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

89742098592 is a wasteful number, since it uses less digits than its factorization.

89742098592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18329710 (or 18329699 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 89742098592 in words is "eighty-nine billion, seven hundred forty-two million, ninety-eight thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 18329677 36659354 54989031 73318708 109978062 146637416 164967093 219956124 293274832 311604509 329934186 439912248 586549664 623209018 659868372 879824496 934813527 1246418036 1319736744 1759648992 1869627054 2492836072 2639473488 2804440581 3739254108 4985672144 5278946976 5608881162 7478508216 9971344288 11217762324 14957016432 22435524648 29914032864 44871049296 89742098592