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3680188656 = 243588113037
BaseRepresentation
bin1101101101011011…
…0011100011110000
3100111110220221202120
43123112303203300
530014112014111
61405103114240
7160125041664
oct33326634360
910443827676
103680188656
111619409231
128685a2980
134685a8331
1426caa48a4
15168151406
hexdb5b38f0

3680188656 has 40 divisors (see below), whose sum is σ = 9509499984. Its totient is φ = 1226426880.

The previous prime is 3680188651. The next prime is 3680188727. The reversal of 3680188656 is 6568810863.

It is a junction number, because it is equal to n+sod(n) for n = 3680188599 and 3680188608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3680188651) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 275770 + ... + 288806.

Almost surely, 23680188656 is an apocalyptic number.

It is an amenable number.

3680188656 is an abundant number, since it is smaller than the sum of its proper divisors (5829311328).

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

3680188656 is a wasteful number, since it uses less digits than its factorization.

3680188656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18929 (or 18923 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The square root of 3680188656 is about 60664.5584835166. The cubic root of 3680188656 is about 1543.9149080151.

The spelling of 3680188656 in words is "three billion, six hundred eighty million, one hundred eighty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 5881 11762 13037 17643 23524 26074 35286 39111 47048 52148 70572 78222 94096 104296 141144 156444 208592 282288 312888 625776 76670597 153341194 230011791 306682388 460023582 613364776 920047164 1226729552 1840094328 3680188656