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56643992000 = 265346115359
BaseRepresentation
bin110100110000001111…
…101011100111000000
312102012121122221020122
4310300033223213000
51412001330221000
642004421155412
74043455662551
oct646017534700
9172177587218
1056643992000
1122028069632
12ab89b5bb68
135459397c3b
142a54c98328
151717cda085
hexd303eb9c0

56643992000 has 112 divisors (see below), whose sum is σ = 140592291840. Its totient is φ = 22606976000.

The previous prime is 56643991991. The next prime is 56643992029. The reversal of 56643992000 is 29934665.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 3680321 + ... + 3695679.

It is an arithmetic number, because the mean of its divisors is an integer number (1255288320).

Almost surely, 256643992000 is an apocalyptic number.

56643992000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56643992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70296145920).

56643992000 is an abundant number, since it is smaller than the sum of its proper divisors (83948299840).

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

56643992000 is a wasteful number, since it uses less digits than its factorization.

56643992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15847 (or 15827 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 44.

The spelling of 56643992000 in words is "fifty-six billion, six hundred forty-three million, nine hundred ninety-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 461 500 800 922 1000 1600 1844 2000 2305 3688 4000 4610 7376 8000 9220 11525 14752 15359 18440 23050 29504 30718 36880 46100 57625 61436 73760 76795 92200 115250 122872 147520 153590 184400 230500 245744 307180 368800 383975 461000 491488 614360 737600 767950 922000 982976 1228720 1535900 1844000 1919875 2457440 3071800 3688000 3839750 4914880 6143600 7080499 7679500 12287200 14160998 15359000 24574400 28321996 30718000 35402495 56643992 61436000 70804990 113287984 122872000 141609980 177012475 226575968 283219960 354024950 453151936 566439920 708049900 885062375 1132879840 1416099800 1770124750 2265759680 2832199600 3540249500 5664399200 7080499000 11328798400 14160998000 28321996000 56643992000