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130933824084 = 22347173395939
BaseRepresentation
bin111100111110001000…
…0111001101001010100
3110111222000002102110000
41321330100321221110
54121123024332314
6140052234131300
712313443066360
oct1717420715124
9414860072400
10130933824084
115058a803a78
1221461580b30
13c4684b196b
1464a150c2a0
153614d22209
hex1e7c439a54

130933824084 has 120 divisors (see below), whose sum is σ = 414196009920. Its totient is φ = 35209085184.

The previous prime is 130933824059. The next prime is 130933824143. The reversal of 130933824084 is 480428339031.

130933824084 is a `hidden beast` number, since 1 + 309 + 338 + 2 + 4 + 0 + 8 + 4 = 666.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 1659414 + ... + 1736525.

It is an arithmetic number, because the mean of its divisors is an integer number (3451633416).

Almost surely, 2130933824084 is an apocalyptic number.

130933824084 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

130933824084 is an abundant number, since it is smaller than the sum of its proper divisors (283262185836).

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

130933824084 is a wasteful number, since it uses less digits than its factorization.

130933824084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3395979 (or 3395968 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 130933824084 in words is "one hundred thirty billion, nine hundred thirty-three million, eight hundred twenty-four thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 81 84 102 108 119 126 153 162 189 204 238 252 306 324 357 378 459 476 567 612 714 756 918 1071 1134 1377 1428 1836 2142 2268 2754 3213 4284 5508 6426 9639 12852 19278 38556 3395939 6791878 10187817 13583756 20375634 23771573 30563451 40751268 47543146 57730963 61126902 71314719 91690353 95086292 115461926 122253804 142629438 173192889 183380706 213944157 230923852 275071059 285258876 346385778 366761412 404116741 427888314 519578667 550142118 641832471 692771556 808233482 855776628 1039157334 1100284236 1212350223 1283664942 1558736001 1616466964 1925497413 2078314668 2424700446 2567329884 3117472002 3637050669 3850994826 4676208003 4849400892 6234944004 7274101338 7701989652 9352416006 10911152007 14548202676 18704832012 21822304014 32733456021 43644608028 65466912042 130933824084