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72879394104 = 233211791164803
BaseRepresentation
bin100001111011111110…
…0110100110100111000
320222010002102211000200
41003313330310310320
52143224111102404
653251430202200
75160006425436
oct1036774646470
9228102384020
1072879394104
11289a9577520
121215b1b3360
136b45b5224a
1437551c5d56
151d682ce839
hex10f7f34d38

72879394104 has 96 divisors (see below), whose sum is σ = 218051308800. Its totient is φ = 21805093440.

The previous prime is 72879394051. The next prime is 72879394121. The reversal of 72879394104 is 40149397827.

72879394104 is a `hidden beast` number, since 72 + 87 + 9 + 394 + 104 = 666.

It is a super-2 number, since 2×728793941042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 519834 + ... + 644969.

It is an arithmetic number, because the mean of its divisors is an integer number (2271367800).

Almost surely, 272879394104 is an apocalyptic number.

It is an amenable number.

72879394104 is an abundant number, since it is smaller than the sum of its proper divisors (145171914696).

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

72879394104 is a wasteful number, since it uses less digits than its factorization.

72879394104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164905 (or 1164898 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 72879394104 in words is "seventy-two billion, eight hundred seventy-nine million, three hundred ninety-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 79 88 99 132 158 198 237 264 316 396 474 632 711 792 869 948 1422 1738 1896 2607 2844 3476 5214 5688 6952 7821 10428 15642 20856 31284 62568 1164803 2329606 3494409 4659212 6988818 9318424 10483227 12812833 13977636 20966454 25625666 27955272 38438499 41932908 51251332 76876998 83865816 92019437 102502664 115315497 153753996 184038874 230630994 276058311 307507992 368077748 461261988 552116622 736155496 828174933 922523976 1012213807 1104233244 1656349866 2024427614 2208466488 3036641421 3312699732 4048855228 6073282842 6625399464 8097710456 9109924263 12146565684 18219848526 24293131368 36439697052 72879394104