Search a number
-
+
5667680655 = 3257132395791
BaseRepresentation
bin1010100011101000…
…11111000110001111
3112121222202000020100
411101310133012033
543101411240110
62334222022143
7260310330210
oct52164370617
915558660210
105667680655
1124492923aa
121122117953
136c42933c0
143baa25407
15232892bc0
hex151d1f18f

5667680655 has 96 divisors (see below), whose sum is σ = 12143738880. Its totient is φ = 2381218560.

The previous prime is 5667680591. The next prime is 5667680687. The reversal of 5667680655 is 5560867665.

5667680655 is a `hidden beast` number, since 566 + 76 + 8 + 0 + 6 + 5 + 5 = 666.

It is a Cunningham number, because it is equal to 752842-1.

It is not a de Polignac number, because 5667680655 - 26 = 5667680591 is a prime.

It is a super-2 number, since 2×56676806552 = 64245208014122458050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 975810 + ... + 981600.

It is an arithmetic number, because the mean of its divisors is an integer number (126497280).

Almost surely, 25667680655 is an apocalyptic number.

5667680655 is an abundant number, since it is smaller than the sum of its proper divisors (6476058225).

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

5667680655 is a wasteful number, since it uses less digits than its factorization.

5667680655 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6061 (or 6058 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The square root of 5667680655 is about 75283.9999933585. Note that the first 5 decimals coincide. The cubic root of 5667680655 is about 1782.9334132392.

The spelling of 5667680655 in words is "five billion, six hundred sixty-seven million, six hundred eighty thousand, six hundred fifty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 195 239 273 315 455 585 717 819 1195 1365 1673 2151 3107 3585 4095 5019 5791 8365 9321 10755 15057 15535 17373 21749 25095 27963 28955 40537 46605 52119 65247 75283 75285 86865 108745 121611 139815 195741 202685 225849 260595 326235 364833 376415 526981 608055 677547 978705 1129245 1384049 1580943 1824165 2634905 3387735 4152147 4742829 6920245 7904715 9688343 12456441 17992637 20760735 23714145 29065029 48441715 53977911 62282205 87195087 89963185 125948459 145325145 161933733 269889555 377845377 435975435 629742295 809668665 1133536131 1889226885 5667680655