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831680680000 = 265454738011
BaseRepresentation
bin11000001101001000000…
…10000001000001000000
32221111201020221000220011
430012210002001001000
5102111240223230000
61434022511154304
7114041552065402
oct14064402010100
92844636830804
10831680680000
112a0794075565
12115228215994
13605725b5281
142c379aa6b72
15169797552ba
hexc1a4081040

831680680000 has 140 divisors (see below), whose sum is σ = 2066122341712. Its totient is φ = 332055360000.

The previous prime is 831680679983. The next prime is 831680680001. The reversal of 831680680000 is 86086138.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (831680680001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21860995 + ... + 21899005.

Almost surely, 2831680680000 is an apocalyptic number.

831680680000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 831680680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033061170856).

831680680000 is an abundant number, since it is smaller than the sum of its proper divisors (1234441661712).

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

831680680000 is an equidigital number, since it uses as much as digits as its factorization.

831680680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38590 (or 38565 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The spelling of 831680680000 in words is "eight hundred thirty-one billion, six hundred eighty million, six hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 547 625 800 1000 1094 1250 1600 2000 2188 2500 2735 4000 4376 5000 5470 8000 8752 10000 10940 13675 17504 20000 21880 27350 35008 38011 40000 43760 54700 68375 76022 87520 109400 136750 152044 175040 190055 218800 273500 304088 341875 380110 437600 547000 608176 683750 760220 875200 950275 1094000 1216352 1367500 1520440 1900550 2188000 2432704 2735000 3040880 3801100 4376000 4751375 5470000 6081760 7602200 9502750 10940000 12163520 15204400 19005500 20792017 21880000 23756875 30408800 38011000 41584034 47513750 60817600 76022000 83168068 95027500 103960085 152044000 166336136 190055000 207920170 304088000 332672272 380110000 415840340 519800425 665344544 760220000 831680680 1039600850 1330689088 1520440000 1663361360 2079201700 2599002125 3326722720 4158403400 5198004250 6653445440 8316806800 10396008500 12995010625 16633613600 20792017000 25990021250 33267227200 41584034000 51980042500 83168068000 103960085000 166336136000 207920170000 415840340000 831680680000