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75690813440 = 211511671971
BaseRepresentation
bin100011001111110000…
…1100010100000000000
321020101000121201022202
41012133201202200000
52220003322012230
654434420452332
75316455204324
oct1063741424000
9236330551282
1075690813440
112a111544480
121280484a0a8
1371a344a098
14394073d984
151e80022a45
hex119f862800

75690813440 has 96 divisors (see below), whose sum is σ = 198124224480. Its totient is φ = 27523891200.

The previous prime is 75690813431. The next prime is 75690813449. The reversal of 75690813440 is 4431809657.

It is an interprime number because it is at equal distance from previous prime (75690813431) and next prime (75690813449).

It is not an unprimeable number, because it can be changed into a prime (75690813449) 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 7 ways as a sum of consecutive naturals, for example, 223346 + ... + 448625.

It is an arithmetic number, because the mean of its divisors is an integer number (2063794005).

Almost surely, 275690813440 is an apocalyptic number.

It is an amenable number.

75690813440 is an abundant number, since it is smaller than the sum of its proper divisors (122433411040).

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

75690813440 is a wasteful number, since it uses less digits than its factorization.

75690813440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672009 (or 671989 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 47.

The spelling of 75690813440 in words is "seventy-five billion, six hundred ninety million, eight hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1024 1280 1408 1760 2048 2560 2816 3520 5120 5632 7040 10240 11264 14080 22528 28160 56320 112640 671971 1343942 2687884 3359855 5375768 6719710 7391681 10751536 13439420 14783362 21503072 26878840 29566724 36958405 43006144 53757680 59133448 73916810 86012288 107515360 118266896 147833620 172024576 215030720 236533792 295667240 344049152 430061440 473067584 591334480 688098304 860122880 946135168 1182668960 1376196608 1720245760 1892270336 2365337920 3440491520 3784540672 4730675840 6880983040 7569081344 9461351680 15138162688 18922703360 37845406720 75690813440