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681919992 = 233313475167
BaseRepresentation
bin101000101001010…
…100010111111000
31202112011010101000
4220221110113320
52344032414432
6151355525000
722620136635
oct5051242770
91675133330
10681919992
1131aa20646
12170459760
13ab37bb70
14667cd18c
153ed0057c
hex28a545f8

681919992 has 128 divisors (see below), whose sum is σ = 2083737600. Its totient is φ = 205317504.

The previous prime is 681919981. The next prime is 681920017. The reversal of 681919992 is 299919186.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 129393 + ... + 134559.

It is an arithmetic number, because the mean of its divisors is an integer number (16279200).

Almost surely, 2681919992 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 681919992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041868800).

681919992 is an abundant number, since it is smaller than the sum of its proper divisors (1401817608).

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

681919992 is a wasteful number, since it uses less digits than its factorization.

681919992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5242 (or 5232 counting only the distinct ones).

The product of its digits is 629856, while the sum is 54.

The square root of 681919992 is about 26113.5978371422. The cubic root of 681919992 is about 880.1927917818.

The spelling of 681919992 in words is "six hundred eighty-one million, nine hundred nineteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 47 52 54 72 78 94 104 108 117 141 156 188 216 234 282 312 351 376 423 468 564 611 702 846 936 1128 1222 1269 1404 1692 1833 2444 2538 2808 3384 3666 4888 5076 5167 5499 7332 10152 10334 10998 14664 15501 16497 20668 21996 31002 32994 41336 43992 46503 62004 65988 67171 93006 124008 131976 134342 139509 186012 201513 242849 268684 279018 372024 403026 485698 537368 558036 604539 728547 806052 971396 1116072 1209078 1457094 1612104 1813617 1942792 2185641 2418156 2914188 3157037 3627234 4371282 4836312 5828376 6314074 6556923 7254468 8742564 9471111 12628148 13113846 14508936 17485128 18942222 25256296 26227692 28413333 37884444 52455384 56826666 75768888 85239999 113653332 170479998 227306664 340959996 681919992