Search a number
-
+
131680696800 = 2535254866957
BaseRepresentation
bin111101010100011000…
…1111111100111100000
3110120220001110111012110
41322220301333213200
54124140224244200
6140254314155320
712341112312012
oct1725061774740
9416801414173
10131680696800
1150933358554
122162b722b40
13c557152b93
1465327a81b2
15365a6a2b50
hex1ea8c7f9e0

131680696800 has 72 divisors (see below), whose sum is σ = 428620675896. Its totient is φ = 35114851840.

The previous prime is 131680696769. The next prime is 131680696817. The reversal of 131680696800 is 8696086131.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 131680696800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27431079 + ... + 27435878.

It is an arithmetic number, because the mean of its divisors is an integer number (5953064943).

Almost surely, 2131680696800 is an apocalyptic number.

131680696800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131680696800 is an abundant number, since it is smaller than the sum of its proper divisors (296939979096).

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

131680696800 is a wasteful number, since it uses less digits than its factorization.

131680696800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54866980 (or 54866967 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The spelling of 131680696800 in words is "one hundred thirty-one billion, six hundred eighty million, six hundred ninety-six thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 54866957 109733914 164600871 219467828 274334785 329201742 438935656 548669570 658403484 823004355 877871312 1097339140 1316806968 1371673925 1646008710 1755742624 2194678280 2633613936 2743347850 3292017420 4115021775 4389356560 5267227872 5486695700 6584034840 8230043550 8778713120 10973391400 13168069680 16460087100 21946782800 26336139360 32920174200 43893565600 65840348400 131680696800