Search a number
-
+
678640731808 = 25132137915973
BaseRepresentation
bin10011110000000100010…
…00111100011010100000
32101212200122021011001211
421320002020330122200
542104324011404213
61235432510035504
7100013231020414
oct11700210743240
92355618234054
10678640731808
112418a0001336
12ab6374a8b94
134bcc32a5500
1424bbc6b0d44
15129bdd4053d
hex9e0223c6a0

678640731808 has 72 divisors (see below), whose sum is σ = 1457316465948. Its totient is φ = 310932191232.

The previous prime is 678640731803. The next prime is 678640731827. The reversal of 678640731808 is 808137046876.

It can be written as a sum of positive squares in 6 ways, for example, as 203881147024 + 474759584784 = 451532^2 + 689028^2 .

It is not an unprimeable number, because it can be changed into a prime (678640731803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 282910 + ... + 1198882.

Almost surely, 2678640731808 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 678640731808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728658232974).

678640731808 is an abundant number, since it is smaller than the sum of its proper divisors (778675734140).

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

678640731808 is a wasteful number, since it uses less digits than its factorization.

678640731808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916146 (or 916125 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 58.

The spelling of 678640731808 in words is "six hundred seventy-eight billion, six hundred forty million, seven hundred thirty-one thousand, eight hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 137 169 208 274 338 416 548 676 1096 1352 1781 2192 2704 3562 4384 5408 7124 14248 23153 28496 46306 56992 92612 185224 370448 740896 915973 1831946 3663892 7327784 11907649 14655568 23815298 29311136 47630596 95261192 125488301 154799437 190522384 250976602 309598874 381044768 501953204 619197748 1003906408 1238395496 1631347913 2007812816 2476790992 3262695826 4015625632 4953581984 6525391652 13050783304 21207522869 26101566608 42415045738 52203133216 84830091476 169660182952 339320365904 678640731808