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51617476016 = 24199716310739
BaseRepresentation
bin110000000100101001…
…000010110110110000
311221020022101110120222
4300010221002312300
51321203033213031
635413541352212
73505062210161
oct600451026660
9157208343528
1051617476016
111a9887a0797
12a006708668
134b37bb4122
1426d9493768
151521896e7b
hexc04a42db0

51617476016 has 80 divisors (see below), whose sum is σ = 107020233600. Its totient is φ = 24047622144.

The previous prime is 51617475953. The next prime is 51617476021. The reversal of 51617476016 is 61067471615.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4801175 + ... + 4811913.

It is an arithmetic number, because the mean of its divisors is an integer number (1337752920).

Almost surely, 251617476016 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 51617476016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53510116800).

51617476016 is an abundant number, since it is smaller than the sum of its proper divisors (55402757584).

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

51617476016 is a wasteful number, since it uses less digits than its factorization.

51617476016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11026 (or 11020 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 44.

The spelling of 51617476016 in words is "fifty-one billion, six hundred seventeen million, four hundred seventy-six thousand, sixteen".

Divisors: 1 2 4 8 16 19 38 76 97 152 163 194 304 326 388 652 776 1304 1552 1843 2608 3097 3686 6194 7372 10739 12388 14744 15811 21478 24776 29488 31622 42956 49552 63244 85912 126488 171824 204041 252976 300409 408082 600818 816164 1041683 1201636 1632328 1750457 2083366 2403272 3264656 3500914 4166732 4806544 7001828 8333464 14003656 16666928 19791977 28007312 33258683 39583954 66517366 79167908 133034732 158335816 169794329 266069464 316671632 339588658 532138928 679177316 1358354632 2716709264 3226092251 6452184502 12904369004 25808738008 51617476016