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131383768720 = 24579191310867
BaseRepresentation
bin111101001011100010…
…1010011011010010000
3110120010100201222110011
41322113011103122100
54123033221044340
6140205030044304
712330545415331
oct1722705233220
9416110658404
10131383768720
11507a0792046
12215681a9694
13c50a78c3a9
146505194288
15363e59e0ea
hex1e97153690

131383768720 has 80 divisors (see below), whose sum is σ = 309524117760. Its totient is φ = 51856376832.

The previous prime is 131383768699. The next prime is 131383768727. The reversal of 131383768720 is 27867383131.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (131383768727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12084727 + ... + 12095593.

It is an arithmetic number, because the mean of its divisors is an integer number (3869051472).

Almost surely, 2131383768720 is an apocalyptic number.

131383768720 is a gapful number since it is divisible by the number (10) 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 131383768720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154762058880).

131383768720 is an abundant number, since it is smaller than the sum of its proper divisors (178140349040).

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

131383768720 is a wasteful number, since it uses less digits than its factorization.

131383768720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12872 (or 12866 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 49.

The spelling of 131383768720 in words is "one hundred thirty-one billion, three hundred eighty-three million, seven hundred sixty-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 316 395 632 790 1264 1580 1913 3160 3826 6320 7652 9565 10867 15304 19130 21734 30608 38260 43468 54335 76520 86936 108670 151127 153040 173872 217340 302254 434680 604508 755635 858493 869360 1209016 1511270 1716986 2418032 3022540 3433972 4292465 6045080 6867944 8584930 12090160 13735888 17169860 20788571 34339720 41577142 68679440 83154284 103942855 166308568 207885710 332617136 415771420 831542840 1642297109 1663085680 3284594218 6569188436 8211485545 13138376872 16422971090 26276753744 32845942180 65691884360 131383768720