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10064500116 = 223111013072459
BaseRepresentation
bin10010101111110010…
…00001010110010100
3221222102010120122120
421113321001112110
5131103003000431
64342405055540
7504256560636
oct112771012624
927872116576
1010064500116
1142a51699a0
121b4a6b75b0
13c45181818
146b6952a56
153dd89e196
hex257e41594

10064500116 has 96 divisors (see below), whose sum is σ = 25967208960. Its totient is φ = 3008592000.

The previous prime is 10064500111. The next prime is 10064500151. The reversal of 10064500116 is 61100546001.

It is a super-3 number, since 3×100645001163 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10064500111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4091695 + ... + 4094153.

It is an arithmetic number, because the mean of its divisors is an integer number (270491760).

Almost surely, 210064500116 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 10064500116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12983604480).

10064500116 is an abundant number, since it is smaller than the sum of its proper divisors (15902708844).

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

10064500116 is a wasteful number, since it uses less digits than its factorization.

10064500116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2885 (or 2883 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The spelling of 10064500116 in words is "ten billion, sixty-four million, five hundred thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 307 404 606 614 921 1111 1212 1228 1842 2222 2459 3333 3377 3684 4444 4918 6666 6754 7377 9836 10131 13332 13508 14754 20262 27049 29508 31007 40524 54098 62014 81147 93021 108196 124028 162294 186042 248359 324588 341077 372084 496718 682154 745077 754913 993436 1023231 1364308 1490154 1509826 2046462 2264739 2731949 2980308 3019652 4092924 4529478 5463898 8195847 8304043 9058956 10927796 16391694 16608086 24912129 32783388 33216172 49824258 76246213 99648516 152492426 228738639 304984852 457477278 838708343 914954556 1677416686 2516125029 3354833372 5032250058 10064500116