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81585885120 = 263584985297
BaseRepresentation
bin100101111111011100…
…1011100111111000000
321210120212020101101220
41023332321130333000
52314041441310440
6101251404355040
75615526403245
oct1137671347700
9253525211356
1081585885120
1131667118043
121398ab45a80
13790286808c
143d3d6375cc
1521c78308d0
hex12fee5cfc0

81585885120 has 56 divisors (see below), whose sum is σ = 259035188304. Its totient is φ = 21756235776.

The previous prime is 81585885113. The next prime is 81585885127. The reversal of 81585885120 is 2158858518.

It is an interprime number because it is at equal distance from previous prime (81585885113) and next prime (81585885127).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81585885127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42491689 + ... + 42493608.

Almost surely, 281585885120 is an apocalyptic number.

81585885120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

81585885120 is an abundant number, since it is smaller than the sum of its proper divisors (177449303184).

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

81585885120 is a wasteful number, since it uses less digits than its factorization.

81585885120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84985317 (or 84985307 counting only the distinct ones).

The product of its (nonzero) digits is 1024000, while the sum is 51.

The spelling of 81585885120 in words is "eighty-one billion, five hundred eighty-five million, eight hundred eighty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 84985297 169970594 254955891 339941188 424926485 509911782 679882376 849852970 1019823564 1274779455 1359764752 1699705940 2039647128 2549558910 2719529504 3399411880 4079294256 5099117820 5439059008 6798823760 8158588512 10198235640 13597647520 16317177024 20396471280 27195295040 40792942560 81585885120