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73778330752 = 277611349867
BaseRepresentation
bin100010010110110000…
…1111111110010000000
321001102201221112021121
41010231201333302000
52202044223041002
653520541402024
75221203315130
oct1045541776200
9231381845247
1073778330752
112931aa42975
1212370269314
136c5a165919
1437dc746ac0
151dbc19b237
hex112d87fc80

73778330752 has 64 divisors (see below), whose sum is σ = 170731304640. Its totient is φ = 31100912640.

The previous prime is 73778330737. The next prime is 73778330761. The reversal of 73778330752 is 25703387737.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 73778330752.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 620278 + ... + 729589.

It is an arithmetic number, because the mean of its divisors is an integer number (2667676635).

Almost surely, 273778330752 is an apocalyptic number.

It is an amenable number.

73778330752 is an abundant number, since it is smaller than the sum of its proper divisors (96952973888).

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

73778330752 is a wasteful number, since it uses less digits than its factorization.

73778330752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349949 (or 1349937 counting only the distinct ones).

The product of its (nonzero) digits is 5186160, while the sum is 52.

The spelling of 73778330752 in words is "seventy-three billion, seven hundred seventy-eight million, three hundred thirty thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 112 122 128 224 244 427 448 488 854 896 976 1708 1952 3416 3904 6832 7808 13664 27328 54656 1349867 2699734 5399468 9449069 10798936 18898138 21597872 37796276 43195744 75592552 82341887 86391488 151185104 164683774 172782976 302370208 329367548 576393209 604740416 658735096 1152786418 1209480832 1317470192 2305572836 2634940384 4611145672 5269880768 9222291344 10539761536 18444582688 36889165376 73778330752