Search a number
-
+
678640731810 = 235311439507103
BaseRepresentation
bin10011110000000100010…
…00111100011010100010
32101212200122021011001220
421320002020330122202
542104324011404220
61235432510035510
7100013231020416
oct11700210743242
92355618234056
10678640731810
112418a0001338
12ab6374a8b96
134bcc32a5502
1424bbc6b0d46
15129bdd40540
hex9e0223c6a2

678640731810 has 64 divisors (see below), whose sum is σ = 1682449367040. Its totient is φ = 175011042240.

The previous prime is 678640731803. The next prime is 678640731827. The reversal of 678640731810 is 18137046876.

It is a super-2 number, since 2×6786407318102 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1084719 + ... + 1591821.

It is an arithmetic number, because the mean of its divisors is an integer number (26288271360).

Almost surely, 2678640731810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 678640731810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841224683520).

678640731810 is an abundant number, since it is smaller than the sum of its proper divisors (1003808635230).

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

678640731810 is a wasteful number, since it uses less digits than its factorization.

678640731810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508583.

The product of its (nonzero) digits is 1354752, while the sum is 51.

The spelling of 678640731810 in words is "six hundred seventy-eight billion, six hundred forty million, seven hundred thirty-one thousand, eight hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 930 1439 2878 4317 7195 8634 14390 21585 43170 44609 89218 133827 223045 267654 446090 507103 669135 1014206 1338270 1521309 2535515 3042618 5071030 7606545 15213090 15720193 31440386 47160579 78600965 94321158 157201930 235802895 471605790 729721217 1459442434 2189163651 3648606085 4378327302 7297212170 10945818255 21891636510 22621357727 45242715454 67864073181 113106788635 135728146362 226213577270 339320365905 678640731810