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89525609120 = 2552729205033
BaseRepresentation
bin101001101100000100…
…1000110001010100000
322120002012020011011202
41103120021012022200
52431322023442440
6105043312300332
76316346056523
oct1233011061240
9276065204152
1089525609120
1134a70966212
1215425b416a8
13859976570c
144493cd0bba
1524de8c1615
hex14d82462a0

89525609120 has 48 divisors (see below), whose sum is σ = 211582785960. Its totient is φ = 35796946944.

The previous prime is 89525609119. The next prime is 89525609137. The reversal of 89525609120 is 2190652598.

It can be written as a sum of positive squares in 4 ways, for example, as 87074567056 + 2451042064 = 295084^2 + 49508^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 334124 + ... + 539156.

Almost surely, 289525609120 is an apocalyptic number.

89525609120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89525609120 is an abundant number, since it is smaller than the sum of its proper divisors (122057176840).

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

89525609120 is a wasteful number, since it uses less digits than its factorization.

89525609120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207777 (or 207769 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 47.

The spelling of 89525609120 in words is "eighty-nine billion, five hundred twenty-five million, six hundred nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2729 5458 10916 13645 21832 27290 43664 54580 87328 109160 205033 218320 410066 436640 820132 1025165 1640264 2050330 3280528 4100660 6561056 8201320 16402640 32805280 559535057 1119070114 2238140228 2797675285 4476280456 5595350570 8952560912 11190701140 17905121824 22381402280 44762804560 89525609120