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64800568896 = 2637172327983
BaseRepresentation
bin111100010110011010…
…100011011001000000
320012021001200222021020
4330112122203121000
52030202421201041
645434033025440
74452550514250
oct742632433100
9205231628236
1064800568896
1125533260578
12106856b5280
1361591a06bb
1431ca27d960
151a43e13866
hexf166a3640

64800568896 has 112 divisors (see below), whose sum is σ = 196065306624. Its totient is φ = 18503041536.

The previous prime is 64800568867. The next prime is 64800568901. The reversal of 64800568896 is 69886500846.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-4 number, since 4×648005688964 (a number of 44 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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, 2301721 + ... + 2329703.

Almost surely, 264800568896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64800568896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98032653312).

64800568896 is an abundant number, since it is smaller than the sum of its proper divisors (131264737728).

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

64800568896 is a wasteful number, since it uses less digits than its factorization.

64800568896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29728 (or 29718 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 60.

The spelling of 64800568896 in words is "sixty-four billion, eight hundred million, five hundred sixty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 1723 3446 5169 6892 10338 12061 13784 20676 24122 27568 27983 36183 41352 48244 55136 55966 72366 82704 83949 96488 110272 111932 144732 165408 167898 192976 195881 223864 289464 330816 335796 385952 391762 447728 578928 587643 671592 771904 783524 895456 1157856 1175286 1343184 1567048 1790912 2315712 2350572 2686368 3134096 4701144 5372736 6268192 9402288 12536384 18804576 37609152 48214709 96429418 144644127 192858836 289288254 337502963 385717672 578576508 675005926 771435344 1012508889 1157153016 1350011852 1542870688 2025017778 2314306032 2700023704 3085741376 4050035556 4628612064 5400047408 8100071112 9257224128 10800094816 16200142224 21600189632 32400284448 64800568896