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131163376480 = 2551676078087
BaseRepresentation
bin111101000100111110…
…0100100101101100000
3110112120000000220010121
41322021330210231200
54122110311021410
6140131114210024
712322231206343
oct1721174445540
9415500026117
10131163376480
11506983410a4
1221506423914
13c4a3c15296
1464c3bc445a
15362a0679da
hex1e89f24b60

131163376480 has 96 divisors (see below), whose sum is σ = 312281174016. Its totient is φ = 52058832384.

The previous prime is 131163376469. The next prime is 131163376489. The reversal of 131163376480 is 84673361131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131163376489) 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, 16214997 + ... + 16223083.

It is an arithmetic number, because the mean of its divisors is an integer number (3252928896).

Almost surely, 2131163376480 is an apocalyptic number.

131163376480 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 131163376480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156140587008).

131163376480 is an abundant number, since it is smaller than the sum of its proper divisors (181117797536).

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

131163376480 is a wasteful number, since it uses less digits than its factorization.

131163376480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8876 (or 8868 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The spelling of 131163376480 in words is "one hundred thirty-one billion, one hundred sixty-three million, three hundred seventy-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 167 334 607 668 835 1214 1336 1670 2428 2672 3035 3340 4856 5344 6070 6680 8087 9712 12140 13360 16174 19424 24280 26720 32348 40435 48560 64696 80870 97120 101369 129392 161740 202738 258784 323480 405476 506845 646960 810952 1013690 1293920 1350529 1621904 2027380 2701058 3243808 4054760 4908809 5402116 6752645 8109520 9817618 10804232 13505290 16219040 19635236 21608464 24544045 27010580 39270472 43216928 49088090 54021160 78540944 98176180 108042320 157081888 196352360 216084640 392704720 785409440 819771103 1639542206 3279084412 4098855515 6558168824 8197711030 13116337648 16395422060 26232675296 32790844120 65581688240 131163376480