Search a number
-
+
6617604656 = 241322984391
BaseRepresentation
bin1100010100111000…
…01010001000110000
3122002012012010222202
412022130022020300
5102023101322111
63012354122332
7322663466015
oct61234121060
918065163882
106617604656
112896513363
1213482803a8
13816019700
1446ac5970c
1528ae81b3b
hex18a70a230

6617604656 has 60 divisors (see below), whose sum is σ = 14362674480. Its totient is φ = 2948924160.

The previous prime is 6617604647. The next prime is 6617604661. The reversal of 6617604656 is 6564067166.

It is a super-2 number, since 2×66176046562 = 87585382766225756672, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6617604656.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36221 + ... + 120611.

It is an arithmetic number, because the mean of its divisors is an integer number (239377908).

Almost surely, 26617604656 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 6617604656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7181337240).

6617604656 is an abundant number, since it is smaller than the sum of its proper divisors (7745069824).

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

6617604656 is a wasteful number, since it uses less digits than its factorization.

6617604656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84454 (or 84435 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 47.

The square root of 6617604656 is about 81348.6610584341. The cubic root of 6617604656 is about 1877.4437735104.

The spelling of 6617604656 in words is "six billion, six hundred seventeen million, six hundred four thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 169 208 232 338 377 464 676 754 1352 1508 2704 3016 4901 6032 9802 19604 39208 78416 84391 168782 337564 675128 1097083 1350256 2194166 2447339 4388332 4894678 8776664 9789356 14262079 17553328 19578712 28524158 31815407 39157424 57048316 63630814 114096632 127261628 228193264 254523256 413600291 509046512 827200582 1654401164 3308802328 6617604656