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8960068056 = 23329103124987
BaseRepresentation
bin10000101100000111…
…11100100111011000
3212010102221121200110
420112003330213120
5121322234134211
64041033204320
7435016215252
oct102603744730
925112847613
108960068056
1138887a7825
1218a08606a0
13aca40b724
1460ddbccd2
1537693eea6
hex2160fc9d8

8960068056 has 64 divisors (see below), whose sum is σ = 23397753600. Its totient is φ = 2855680128.

The previous prime is 8960068009. The next prime is 8960068067. The reversal of 8960068056 is 6508600698.

It is a super-4 number, since 4×89600680564 (a number of 41 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8960067996 and 8960068014.

It is a congruent number.

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, 9195 + ... + 134181.

It is an arithmetic number, because the mean of its divisors is an integer number (365589900).

Almost surely, 28960068056 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 8960068056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11698876800).

8960068056 is an abundant number, since it is smaller than the sum of its proper divisors (14437685544).

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

8960068056 is a wasteful number, since it uses less digits than its factorization.

8960068056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125128 (or 125124 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The square root of 8960068056 is about 94657.6360152735. The cubic root of 8960068056 is about 2077.0028993637.

The spelling of 8960068056 in words is "eight billion, nine hundred sixty million, sixty-eight thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 103 116 174 206 232 309 348 412 618 696 824 1236 2472 2987 5974 8961 11948 17922 23896 35844 71688 124987 249974 374961 499948 749922 999896 1499844 2999688 3624623 7249246 10873869 12873661 14498492 21747738 25747322 28996984 38620983 43495476 51494644 77241966 86990952 102989288 154483932 308967864 373336169 746672338 1120008507 1493344676 2240017014 2986689352 4480034028 8960068056