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8210083968 = 27332375603
BaseRepresentation
bin1111010010101101…
…11111000010000000
3210012011201110221000
413221112333002000
5113303240141333
63434402332000
7410311363602
oct75126770200
923164643830
108210083968
113533418669
12171165a000
13a0ac1b268
1457c553172
15330b97713
hex1e95bf080

8210083968 has 64 divisors (see below), whose sum is σ = 24231160800. Its totient is φ = 2736693504.

The previous prime is 8210083961. The next prime is 8210083993. The reversal of 8210083968 is 8693800128.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×82100839682 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8210083961) 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, 1184346 + ... + 1191257.

Almost surely, 28210083968 is an apocalyptic number.

It is an amenable number.

8210083968 is an abundant number, since it is smaller than the sum of its proper divisors (16021076832).

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

8210083968 is a wasteful number, since it uses less digits than its factorization.

8210083968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2375626 (or 2375608 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 8210083968 is about 90609.5136726823. The cubic root of 8210083968 is about 2017.3559472056.

The spelling of 8210083968 in words is "eight billion, two hundred ten million, eighty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 2375603 4751206 7126809 9502412 14253618 19004824 21380427 28507236 38009648 42760854 57014472 64141281 76019296 85521708 114028944 128282562 152038592 171043416 228057888 256565124 304077184 342086832 456115776 513130248 684173664 912231552 1026260496 1368347328 2052520992 2736694656 4105041984 8210083968