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32480845164 = 223247106318059
BaseRepresentation
bin11110010000000000…
…100101110101101100
310002211122102220011100
4132100000211311230
51013010044021124
622531013123100
72226622425405
oct362000456554
9102748386140
1032480845164
1112858654799
126365929490
1330a8348a11
141801b109ac
15ca181e1c9
hex790025d6c

32480845164 has 72 divisors (see below), whose sum is σ = 83934789120. Its totient is φ = 10586032992.

The previous prime is 32480845153. The next prime is 32480845273. The reversal of 32480845164 is 46154808423.

32480845164 is a `hidden beast` number, since 3 + 2 + 480 + 8 + 4 + 5 + 164 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1789567 + ... + 1807625.

It is an arithmetic number, because the mean of its divisors is an integer number (1165760960).

Almost surely, 232480845164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32480845164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41967394560).

32480845164 is an abundant number, since it is smaller than the sum of its proper divisors (51453943956).

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

32480845164 is a wasteful number, since it uses less digits than its factorization.

32480845164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19179 (or 19174 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 32480845164 in words is "thirty-two billion, four hundred eighty million, eight hundred forty-five thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1063 1692 2126 3189 4252 6378 9567 12756 18059 19134 36118 38268 49961 54177 72236 99922 108354 149883 162531 199844 216708 299766 325062 449649 599532 650124 848773 899298 1697546 1798596 2546319 3395092 5092638 7638957 10185276 15277914 19196717 30555828 38393434 57590151 76786868 115180302 172770453 230360604 345540906 691081812 902245699 1804491398 2706737097 3608982796 5413474194 8120211291 10826948388 16240422582 32480845164