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130406315680 = 2552393410207
BaseRepresentation
bin111100101110011010…
…0100111011010100000
3110110121020111012221201
41321130310213122200
54114033004100210
6135524031530544
712264406252114
oct1713464473240
9413536435851
10130406315680
1150339a69113
1221334989a54
13c3b3117a04
146451435744
1535d387353a
hex1e5cd276a0

130406315680 has 48 divisors (see below), whose sum is σ = 309374069760. Its totient is φ = 51944257792.

The previous prime is 130406315651. The next prime is 130406315723. The reversal of 130406315680 is 86513604031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1666864 + ... + 1743343.

It is an arithmetic number, because the mean of its divisors is an integer number (6445293120).

Almost surely, 2130406315680 is an apocalyptic number.

130406315680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130406315680 is an abundant number, since it is smaller than the sum of its proper divisors (178967754080).

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

130406315680 is a wasteful number, since it uses less digits than its factorization.

130406315680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3410461 (or 3410453 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 130406315680 in words is "one hundred thirty billion, four hundred six million, three hundred fifteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 239 478 956 1195 1912 2390 3824 4780 7648 9560 19120 38240 3410207 6820414 13640828 17051035 27281656 34102070 54563312 68204140 109126624 136408280 272816560 545633120 815039473 1630078946 3260157892 4075197365 6520315784 8150394730 13040631568 16300789460 26081263136 32601578920 65203157840 130406315680