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89723191968 = 253434615429
BaseRepresentation
bin101001110001111101…
…0110100001010100000
322120120222000101220000
41103203322310022200
52432223114120333
6105115051220000
76324265356024
oct1234372641240
9276528011800
1089723191968
1135062448123
1215480147600
1385cb684747
1444b2244384
152501dee713
hex14e3eb42a0

89723191968 has 60 divisors (see below), whose sum is σ = 263873422890. Its totient is φ = 29907729792.

The previous prime is 89723191963. The next prime is 89723191993. The reversal of 89723191968 is 86919132798.

It can be written as a sum of positive squares in only one way, i.e., 58821771024 + 30901420944 = 242532^2 + 175788^2 .

It is not an unprimeable number, because it can be changed into a prime (89723191963) 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 9 ways as a sum of consecutive naturals, for example, 17305123 + ... + 17310306.

Almost surely, 289723191968 is an apocalyptic number.

It is an amenable number.

89723191968 is an abundant number, since it is smaller than the sum of its proper divisors (174150230922).

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

89723191968 is a wasteful number, since it uses less digits than its factorization.

89723191968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34615451 (or 34615434 counting only the distinct ones).

The product of its digits is 11757312, while the sum is 63.

The spelling of 89723191968 in words is "eighty-nine billion, seven hundred twenty-three million, one hundred ninety-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 34615429 69230858 103846287 138461716 207692574 276923432 311538861 415385148 553846864 623077722 830770296 934616583 1107693728 1246155444 1661540592 1869233166 2492310888 2803849749 3323081184 3738466332 4984621776 5607699498 7476932664 9969243552 11215398996 14953865328 22430797992 29907730656 44861595984 89723191968