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130673807856 = 2432151239799
BaseRepresentation
bin111100110110011000…
…1000001000111110000
3110111021212211020020100
41321230301001013300
54120104443322411
6140010345112400
712304135016514
oct1715461010760
9414255736210
10130673807856
1150466a59a29
12213aa488700
13c4266731c7
146478b86144
1535ec0b0456
hex1e6cc411f0

130673807856 has 90 divisors (see below), whose sum is σ = 368152348200. Its totient is φ = 43268385600.

The previous prime is 130673807821. The next prime is 130673807863. The reversal of 130673807856 is 658708376031.

130673807856 is a `hidden beast` number, since 130 + 67 + 380 + 78 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3263445 + ... + 3303243.

Almost surely, 2130673807856 is an apocalyptic number.

130673807856 is a gapful number since it is divisible by the number (16) 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 130673807856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184076174100).

130673807856 is an abundant number, since it is smaller than the sum of its proper divisors (237478540344).

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

130673807856 is a wasteful number, since it uses less digits than its factorization.

130673807856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40115 (or 39955 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 130673807856 in words is "one hundred thirty billion, six hundred seventy-three million, eight hundred seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 151 302 453 604 906 1208 1359 1812 2416 2718 3624 5436 7248 10872 21744 22801 39799 45602 68403 79598 91204 119397 136806 159196 182408 205209 238794 273612 318392 358191 364816 410418 477588 547224 636784 716382 820836 955176 1094448 1432764 1641672 1910352 2865528 3283344 5731056 6009649 12019298 18028947 24038596 36057894 48077192 54086841 72115788 96154384 108173682 144231576 216347364 288463152 432694728 865389456 907456999 1814913998 2722370997 3629827996 5444741994 7259655992 8167112991 10889483988 14519311984 16334225982 21778967976 32668451964 43557935952 65336903928 130673807856