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76684639920 = 24357192402401
BaseRepresentation
bin100011101101011000…
…0101011111010110000
321022221021200022221220
41013122300223322300
52224022231434140
655121201545040
75353213453530
oct1073260537260
9238837608856
1076684639920
112a581530a79
1212a41645180
1373013052a5
1439d67214c0
151edc3d4bd0
hex11dac2beb0

76684639920 has 160 divisors (see below), whose sum is σ = 285981934080. Its totient is φ = 16605388800.

The previous prime is 76684639909. The next prime is 76684639943. The reversal of 76684639920 is 2993648667.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1169281 + ... + 1233120.

It is an arithmetic number, because the mean of its divisors is an integer number (1787387088).

Almost surely, 276684639920 is an apocalyptic number.

76684639920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

76684639920 is an abundant number, since it is smaller than the sum of its proper divisors (209297294160).

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

76684639920 is a wasteful number, since it uses less digits than its factorization.

76684639920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2402443 (or 2402437 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 60.

The spelling of 76684639920 in words is "seventy-six billion, six hundred eighty-four million, six hundred thirty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 28 30 35 38 40 42 48 56 57 60 70 76 80 84 95 105 112 114 120 133 140 152 168 190 210 228 240 266 280 285 304 336 380 399 420 456 532 560 570 665 760 798 840 912 1064 1140 1330 1520 1596 1680 1995 2128 2280 2660 3192 3990 4560 5320 6384 7980 10640 15960 31920 2402401 4804802 7207203 9609604 12012005 14414406 16816807 19219208 24024010 28828812 33633614 36036015 38438416 45645619 48048020 50450421 57657624 67267228 72072030 84084035 91291238 96096040 100900842 115315248 134534456 136936857 144144060 168168070 182582476 192192080 201801684 228228095 252252105 269068912 273873714 288288120 319519333 336336140 365164952 403603368 456456190 504504210 547747428 576576240 639038666 672672280 684684285 730329904 807206736 912912380 958557999 1009008420 1095494856 1278077332 1345344560 1369368570 1597596665 1825824760 1917115998 2018016840 2190989712 2556154664 2738737140 3195193330 3651649520 3834231996 4036033680 4792789995 5112309328 5477474280 6390386660 7668463992 9585579990 10954948560 12780773320 15336927984 19171159980 25561546640 38342319960 76684639920