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80473972032 = 2632997314009
BaseRepresentation
bin100101011110010011…
…1110101110101000000
321200201100222100101200
41022330213311311000
52304302314101112
6100545204301200
75546135322156
oct1127447656500
9250640870350
1080473972032
1131146506303
121371a6a1800
1377863a5b3c
143c75ab73d6
15215ede4cdc
hex12bc9f5d40

80473972032 has 84 divisors (see below), whose sum is σ = 230703706740. Its totient is φ = 26820052992.

The previous prime is 80473972031. The next prime is 80473972063. The reversal of 80473972032 is 23027937408.

80473972032 is a `hidden beast` number, since 80 + 473 + 9 + 72 + 0 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 35350016256 + 45123955776 = 188016^2 + 212424^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80473972031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5737444 + ... + 5751452.

Almost surely, 280473972032 is an apocalyptic number.

It is an amenable number.

80473972032 is an abundant number, since it is smaller than the sum of its proper divisors (150229734708).

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

80473972032 is a wasteful number, since it uses less digits than its factorization.

80473972032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24000 (or 23987 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 80473972032 in words is "eighty billion, four hundred seventy-three million, nine hundred seventy-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 9973 14009 19946 28018 29919 39892 42027 56036 59838 79784 84054 89757 112072 119676 126081 159568 168108 179514 224144 239352 252162 319136 336216 359028 448288 478704 504324 638272 672432 718056 896576 957408 1008648 1344864 1436112 1914816 2017296 2689728 2872224 4034592 5744448 8069184 139711757 279423514 419135271 558847028 838270542 1117694056 1257405813 1676541084 2235388112 2514811626 3353082168 4470776224 5029623252 6706164336 8941552448 10059246504 13412328672 20118493008 26824657344 40236986016 80473972032