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72184373664 = 2531357840043
BaseRepresentation
bin100001100111010000…
…1100010000110100000
320220022122122010012220
41003032201202012200
52140313144424124
653054441351040
75133540023664
oct1031641420640
9226278563186
1072184373664
1128682219367
1211ba6498480
136a64b67550
1436cab868a4
151d27292879
hex10ce8621a0

72184373664 has 48 divisors (see below), whose sum is σ = 204059675232. Its totient is φ = 22210576128.

The previous prime is 72184373663. The next prime is 72184373687. The reversal of 72184373664 is 46637348127.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (72184373663) by changing a digit.

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, 28918774 + ... + 28921269.

It is an arithmetic number, because the mean of its divisors is an integer number (4251243234).

Almost surely, 272184373664 is an apocalyptic number.

It is an amenable number.

72184373664 is an abundant number, since it is smaller than the sum of its proper divisors (131875301568).

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

72184373664 is a wasteful number, since it uses less digits than its factorization.

72184373664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57840069 (or 57840061 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 51.

The spelling of 72184373664 in words is "seventy-two billion, one hundred eighty-four million, three hundred seventy-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 57840043 115680086 173520129 231360172 347040258 462720344 694080516 751920559 925440688 1388161032 1503841118 1850881376 2255761677 2776322064 3007682236 4511523354 5552644128 6015364472 9023046708 12030728944 18046093416 24061457888 36092186832 72184373664