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82108537920 = 263359503303
BaseRepresentation
bin100110001111000001…
…1001101110001000000
321211221021200220021000
41030132003031301000
52321124241203140
6101415314532000
75634504025323
oct1143603156100
9254837626230
1082108537920
1131905146902
1213ab5b97000
137986c21ba6
143d8cc087ba
152208670a30
hex131e0cdc40

82108537920 has 112 divisors (see below), whose sum is σ = 289660705920. Its totient is φ = 21895607808.

The previous prime is 82108537879. The next prime is 82108537939. The reversal of 82108537920 is 2973580128.

It is a happy number.

82108537920 is a `hidden beast` number, since 8 + 2 + 108 + 537 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4743012 + ... + 4760291.

Almost surely, 282108537920 is an apocalyptic number.

82108537920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82108537920 is an abundant number, since it is smaller than the sum of its proper divisors (207552168000).

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

82108537920 is a wasteful number, since it uses less digits than its factorization.

82108537920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9503329 (or 9503313 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 82108537920 in words is "eighty-two billion, one hundred eight million, five hundred thirty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 9503303 19006606 28509909 38013212 47516515 57019818 76026424 85529727 95033030 114039636 142549545 152052848 171059454 190066060 228079272 256589181 285099090 304105696 342118908 380132120 427648635 456158544 513178362 570198180 608211392 684237816 760264240 855297270 912317088 1026356724 1140396360 1282945905 1368475632 1520528480 1710594540 1824634176 2052713448 2280792720 2565891810 2736951264 3041056960 3421189080 4105426896 4561585440 5131783620 5473902528 6842378160 8210853792 9123170880 10263567240 13684756320 16421707584 20527134480 27369512640 41054268960 82108537920