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76523528120 = 235131076592087
BaseRepresentation
bin100011101000100101…
…0000101111110111000
321022112001112000010012
41013101022011332320
52223210010344440
655053204441052
75346216154034
oct1072112057670
9238461460105
1076523528120
112a4a959a326
12129b76a9188
1372a6b15770
1439bd1831c4
151ecd1ace65
hex11d1285fb8

76523528120 has 128 divisors (see below), whose sum is σ = 187529126400. Its totient is φ = 27934910976.

The previous prime is 76523528111. The next prime is 76523528167. The reversal of 76523528120 is 2182532567.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36665717 + ... + 36667803.

It is an arithmetic number, because the mean of its divisors is an integer number (1465071300).

Almost surely, 276523528120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76523528120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93764563200).

76523528120 is an abundant number, since it is smaller than the sum of its proper divisors (111005598280).

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

76523528120 is a wasteful number, since it uses less digits than its factorization.

76523528120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2877 (or 2873 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 41.

The spelling of 76523528120 in words is "seventy-six billion, five hundred twenty-three million, five hundred twenty-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 107 130 214 260 428 520 535 659 856 1070 1318 1391 2087 2140 2636 2782 3295 4174 4280 5272 5564 6590 6955 8348 8567 10435 11128 13180 13910 16696 17134 20870 26360 27131 27820 34268 41740 42835 54262 55640 68536 70513 83480 85670 108524 135655 141026 171340 217048 223309 271310 282052 342680 352565 446618 542620 564104 705130 893236 916669 1085240 1116545 1375333 1410260 1786472 1833338 2233090 2750666 2820520 2903017 3666676 4466180 4583345 5501332 5806034 6876665 7333352 8932360 9166690 11002664 11612068 13753330 14515085 17879329 18333380 23224136 27506660 29030170 35758658 36666760 55013320 58060340 71517316 89396645 116120680 143034632 147160631 178793290 294321262 357586580 588642524 715173160 735803155 1177285048 1471606310 1913088203 2943212620 3826176406 5886425240 7652352812 9565441015 15304705624 19130882030 38261764060 76523528120