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130449622392 = 23332334915279
BaseRepresentation
bin111100101111101100…
…1110100010101111000
3110110201020222102121000
41321133121310111320
54114130100404032
6135532220045000
712265443331545
oct1713731642570
9413636872530
10130449622392
1150361458091
1221347393760
13c3bc09b69b
1464570a9bcc
1535d7579e7c
hex1e5f674578

130449622392 has 128 divisors (see below), whose sum is σ = 364725504000. Its totient is φ = 43200218880.

The previous prime is 130449622367. The next prime is 130449622409. The reversal of 130449622392 is 293226944031.

130449622392 is a `hidden beast` number, since 13 + 0 + 4 + 4 + 9 + 622 + 3 + 9 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24708409 + ... + 24713687.

It is an arithmetic number, because the mean of its divisors is an integer number (2849418000).

Almost surely, 2130449622392 is an apocalyptic number.

130449622392 is a gapful number since it is divisible by the number (12) 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 130449622392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182362752000).

130449622392 is an abundant number, since it is smaller than the sum of its proper divisors (234275881608).

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

130449622392 is a wasteful number, since it uses less digits than its factorization.

130449622392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6018 (or 6008 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 130449622392 in words is "one hundred thirty billion, four hundred forty-nine million, six hundred twenty-two thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 233 466 491 699 932 982 1398 1473 1864 1964 2097 2796 2946 3928 4194 4419 5279 5592 5892 6291 8388 8838 10558 11784 12582 13257 15837 16776 17676 21116 25164 26514 31674 35352 42232 47511 50328 53028 63348 95022 106056 114403 126696 142533 190044 228806 285066 343209 380088 457612 570132 686418 915224 1029627 1140264 1230007 1372836 2059254 2460014 2591989 2745672 3088881 3690021 4118508 4920028 5183978 6177762 7380042 7775967 8237016 9840056 10367956 11070063 12355524 14760084 15551934 20735912 22140126 23327901 24711048 29520168 31103868 33210189 44280252 46655802 62207736 66420378 69983703 88560504 93311604 132840756 139967406 186623208 265681512 279934812 559869624 603933437 1207866874 1811800311 2415733748 3623600622 4831467496 5435400933 7247201244 10870801866 14494402488 16306202799 21741603732 32612405598 43483207464 65224811196 130449622392