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71852031540 = 223252913764757
BaseRepresentation
bin100001011101010110…
…1101111111000110100
320212110111021101112100
41002322231233320310
52134123110002130
653001450222100
75122363122342
oct1027255577064
9225414241470
1071852031540
1128521664853
1211b13124930
136a110546c3
143698994992
151d07ee5c60
hex10bab6fe34

71852031540 has 72 divisors (see below), whose sum is σ = 225466736040. Its totient is φ = 18499832064.

The previous prime is 71852031523. The next prime is 71852031551. The reversal of 71852031540 is 4513025817.

71852031540 is a `hidden beast` number, since 7 + 1 + 85 + 2 + 0 + 31 + 540 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4912888464 + 66939143076 = 70092^2 + 258726^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 71852031495 and 71852031504.

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, 6877159 + ... + 6887598.

It is an arithmetic number, because the mean of its divisors is an integer number (3131482445).

Almost surely, 271852031540 is an apocalyptic number.

It is an amenable number.

71852031540 is an abundant number, since it is smaller than the sum of its proper divisors (153614704500).

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

71852031540 is a wasteful number, since it uses less digits than its factorization.

71852031540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13764801 (or 13764796 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 71852031540 in words is "seventy-one billion, eight hundred fifty-two million, thirty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 13764757 27529514 41294271 55059028 68823785 82588542 123882813 137647570 165177084 206471355 247765626 275295140 399177953 412942710 495531252 619414065 798355906 825885420 1197533859 1238828130 1596711812 1995889765 2395067718 2477656260 3592601577 3991779530 4790135436 5987669295 7185203154 7983559060 11975338590 14370406308 17963007885 23950677180 35926015770 71852031540