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8118215040 = 273513325249
BaseRepresentation
bin1111000111110001…
…00010000110000000
3202221202212001110010
413203320202012000
5113111230340130
63421321304520
7405114455265
oct74370420600
922852761403
108118215040
113496580131
1216a6935140
139c4b93750
1457027b26c
15327a9c0b0
hex1e3e22180

8118215040 has 128 divisors (see below), whose sum is σ = 27867420000. Its totient is φ = 1998323712.

The previous prime is 8118215009. The next prime is 8118215041. The reversal of 8118215040 is 405128118.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 8118214989 and 8118215007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8118215041) 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 15 ways as a sum of consecutive naturals, for example, 137665 + ... + 187584.

Almost surely, 28118215040 is an apocalyptic number.

8118215040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8118215040 is an abundant number, since it is smaller than the sum of its proper divisors (19749204960).

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

8118215040 is a wasteful number, since it uses less digits than its factorization.

8118215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325284 (or 325272 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 30.

The square root of 8118215040 is about 90101.1378396522. The cubic root of 8118215040 is about 2009.8031242036.

The spelling of 8118215040 in words is "eight billion, one hundred eighteen million, two hundred fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 260 312 320 384 390 416 480 520 624 640 780 832 960 1040 1248 1560 1664 1920 2080 2496 3120 4160 4992 6240 8320 12480 24960 325249 650498 975747 1300996 1626245 1951494 2601992 3252490 3902988 4228237 4878735 5203984 6504980 7805976 8456474 9757470 10407968 12684711 13009960 15611952 16912948 19514940 20815936 21141185 25369422 26019920 31223904 33825896 39029880 41631872 42282370 50738844 52039840 62447808 63423555 67651792 78059760 84564740 101477688 104079680 124895616 126847110 135303584 156119520 169129480 202955376 208159360 253694220 270607168 312239040 338258960 405910752 507388440 541214336 624478080 676517920 811821504 1014776880 1353035840 1623643008 2029553760 2706071680 4059107520 8118215040