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76620430040 = 235711171463339
BaseRepresentation
bin100011101011011101…
…1101111101011011000
321022202210212010120012
41013112323233223120
52223404312230130
655110545421052
75351503623650
oct1072673575330
9238683763505
1076620430040
112a549265160
1212a2403a788
1372c0c1308b
1439cbda9360
151ed694e995
hex11d6eefad8

76620430040 has 128 divisors (see below), whose sum is σ = 227578636800. Its totient is φ = 22476871680.

The previous prime is 76620430031. The next prime is 76620430043. The reversal of 76620430040 is 4003402667.

It is a junction number, because it is equal to n+sod(n) for n = 76620429979 and 76620430006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76620430043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 679310 + ... + 784029.

It is an arithmetic number, because the mean of its divisors is an integer number (1777958100).

Almost surely, 276620430040 is an apocalyptic number.

76620430040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

76620430040 is an abundant number, since it is smaller than the sum of its proper divisors (150958206760).

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

76620430040 is a wasteful number, since it uses less digits than its factorization.

76620430040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463385 (or 1463381 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The spelling of 76620430040 in words is "seventy-six billion, six hundred twenty million, four hundred thirty thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 17 20 22 28 34 35 40 44 55 56 68 70 77 85 88 110 119 136 140 154 170 187 220 238 280 308 340 374 385 440 476 595 616 680 748 770 935 952 1190 1309 1496 1540 1870 2380 2618 3080 3740 4760 5236 6545 7480 10472 13090 26180 52360 1463339 2926678 5853356 7316695 10243373 11706712 14633390 16096729 20486746 24876763 29266780 32193458 40973492 49753526 51216865 58533560 64386916 80483645 81946984 99507052 102433730 112677103 124383815 128773832 160967290 174137341 199014104 204867460 225354206 248767630 273644393 321934580 348274682 409734920 450708412 497535260 547288786 563385515 643869160 696549364 870686705 901416824 995070520 1094577572 1126771030 1368221965 1393098728 1741373410 1915510751 2189155144 2253542060 2736443930 3482746820 3831021502 4507084120 5472887860 6965493640 7662043004 9577553755 10945775720 15324086008 19155107510 38310215020 76620430040