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10050000016 = 247715572269
BaseRepresentation
bin10010101110000011…
…01101010010010000
3221221101211220020211
421113001231102100
5131040300000031
64341130213504
7504022406410
oct112701552220
927841756224
1010050000016
114297a65841
121b45884294
13c42175894
146b4a5a640
153dc487bb1
hex25706d490

10050000016 has 80 divisors (see below), whose sum is σ = 22617480960. Its totient is φ = 4236986880.

The previous prime is 10049999987. The next prime is 10050000053. The reversal of 10050000016 is 61000005001.

It is a junction number, because it is equal to n+sod(n) for n = 10049999960 and 10050000005.

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, 4428130 + ... + 4430398.

It is an arithmetic number, because the mean of its divisors is an integer number (282718512).

Almost surely, 210050000016 is an apocalyptic number.

10050000016 is a gapful number since it is divisible by the number (16) 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 10050000016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11308740480).

10050000016 is an abundant number, since it is smaller than the sum of its proper divisors (12567480944).

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

10050000016 is a wasteful number, since it uses less digits than its factorization.

10050000016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2912 (or 2906 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

Adding to 10050000016 its reverse (61000005001), we get a palindrome (71050005017).

The spelling of 10050000016 in words is "ten billion, fifty million, sixteen", and thus it is an aban number and an uban number.

Divisors: 1 2 4 7 8 14 16 28 56 71 112 142 284 497 557 568 994 1114 1136 1988 2228 2269 3899 3976 4456 4538 7798 7952 8912 9076 15596 15883 18152 31192 31766 36304 39547 62384 63532 79094 127064 158188 161099 254128 276829 316376 322198 553658 632752 644396 1107316 1127693 1263833 1288792 2214632 2255386 2527666 2577584 4429264 4510772 5055332 8846831 9021544 10110664 17693662 18043088 20221328 35387324 70774648 89732143 141549296 179464286 358928572 628125001 717857144 1256250002 1435714288 2512500004 5025000008 10050000016