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130078457160 = 233529252114827
BaseRepresentation
bin111100100100101000…
…1111011110101001000
3110102202101120021121120
41321021101323311020
54112400041112120
6135431320435240
712253315433301
oct1711121736510
9412671507546
10130078457160
1150190997163
1221263018b20
13c3602148a2
14641da8d7a8
1535b4bb0140
hex1e4947bd48

130078457160 has 128 divisors (see below), whose sum is σ = 403879132800. Its totient is φ = 33475921920.

The previous prime is 130078457147. The next prime is 130078457233. The reversal of 130078457160 is 61754870031.

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 31 ways as a sum of consecutive naturals, for example, 8765667 + ... + 8780493.

It is an arithmetic number, because the mean of its divisors is an integer number (3155305725).

Almost surely, 2130078457160 is an apocalyptic number.

130078457160 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 130078457160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201939566400).

130078457160 is an abundant number, since it is smaller than the sum of its proper divisors (273800675640).

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

130078457160 is a wasteful number, since it uses less digits than its factorization.

130078457160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17391 (or 17387 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 130078457160 in words is "one hundred thirty billion, seventy-eight million, four hundred fifty-seven thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 2521 3480 5042 7563 10084 12605 14827 15126 20168 25210 29654 30252 37815 44481 50420 59308 60504 73109 74135 75630 88962 100840 118616 146218 148270 151260 177924 219327 222405 292436 296540 302520 355848 365545 429983 438654 444810 584872 593080 731090 859966 877308 889620 1096635 1289949 1462180 1719932 1754616 1779240 2149915 2193270 2579898 2924360 3439864 4299830 4386540 5159796 6449745 8599660 8773080 10319592 12899490 17199320 25798980 37378867 51597960 74757734 112136601 149515468 186894335 224273202 299030936 373788670 448546404 560683005 747577340 897092808 1083987143 1121366010 1495154680 2167974286 2242732020 3251961429 4335948572 4485464040 5419935715 6503922858 8671897144 10839871430 13007845716 16259807145 21679742860 26015691432 32519614290 43359485720 65039228580 130078457160