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75773120640 = 273575637881
BaseRepresentation
bin100011010010001101…
…1100001000010000000
321020120202111100120120
41012210123201002000
52220140404330030
654450520540240
75321504620110
oct1064433410200
9236522440516
1075773120640
112a153a51058
1212828321680
1371b7507679
14394b647040
151e87380010
hex11a46e1080

75773120640 has 128 divisors (see below), whose sum is σ = 276030702720. Its totient is φ = 17319567360.

The previous prime is 75773120627. The next prime is 75773120663. The reversal of 75773120640 is 4602137757.

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 (42).

It is a junction number, because it is equal to n+sod(n) for n = 75773120592 and 75773120601.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2805501 + ... + 2832380.

It is an arithmetic number, because the mean of its divisors is an integer number (2156489865).

Almost surely, 275773120640 is an apocalyptic number.

75773120640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

75773120640 is an abundant number, since it is smaller than the sum of its proper divisors (200257582080).

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

75773120640 is a wasteful number, since it uses less digits than its factorization.

75773120640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5637910 (or 5637898 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 42.

The spelling of 75773120640 in words is "seventy-five billion, seven hundred seventy-three million, one hundred twenty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4480 6720 13440 5637881 11275762 16913643 22551524 28189405 33827286 39465167 45103048 56378810 67654572 78930334 84568215 90206096 112757620 118395501 135309144 157860668 169136430 180412192 197325835 225515240 236791002 270618288 315721336 338272860 360824384 394651670 451030480 473582004 541236576 591977505 631442672 676545720 721648768 789303340 902060960 947164008 1082473152 1183955010 1262885344 1353091440 1578606680 1804121920 1894328016 2164946304 2367910020 2525770688 2706182880 3157213360 3608243840 3788656032 4735820040 5051541376 5412365760 6314426720 7577312064 9471640080 10824731520 12628853440 15154624128 18943280160 25257706880 37886560320 75773120640