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11813936344 = 23717137239379
BaseRepresentation
bin10110000000010101…
…00101110011011000
31010111100000010222221
423000022211303120
5143143331430334
65232141353424
7565521542050
oct130012456330
933440003887
1011813936344
115012728261
122358568874
1311637499a2
14801026560
1549226a8b4
hex2c02a5cd8

11813936344 has 128 divisors (see below), whose sum is σ = 27184896000. Its totient is φ = 4698279936.

The previous prime is 11813936297. The next prime is 11813936357. The reversal of 11813936344 is 44363931811.

It is a self number, because there is not a number n which added to its sum of digits gives 11813936344.

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, 31171147 + ... + 31171525.

It is an arithmetic number, because the mean of its divisors is an integer number (212382000).

Almost surely, 211813936344 is an apocalyptic number.

11813936344 is a gapful number since it is divisible by the number (14) 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 11813936344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13592448000).

11813936344 is an abundant number, since it is smaller than the sum of its proper divisors (15370959656).

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

11813936344 is a wasteful number, since it uses less digits than its factorization.

11813936344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 781 counting only the distinct ones).

The product of its digits is 186624, while the sum is 43.

The spelling of 11813936344 in words is "eleven billion, eight hundred thirteen million, nine hundred thirty-six thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 137 238 239 274 379 476 478 548 758 952 956 959 1096 1516 1673 1912 1918 2329 2653 3032 3346 3836 4063 4658 5306 6443 6692 7672 8126 9316 10612 12886 13384 16252 16303 18632 21224 25772 28441 32504 32606 32743 45101 51544 51923 56882 65212 65486 90202 90581 103846 113764 130424 130972 180404 181162 207692 227528 229201 261944 360808 362324 363461 415384 458402 556631 634067 724648 726922 882691 916804 1113262 1268134 1453844 1539877 1765382 1833608 2226524 2536268 2907688 3079754 3530764 3896417 4453048 5072536 6159508 6178837 7061528 7792834 10779139 12319016 12357674 12409597 15585668 21558278 24715348 24819194 31171336 43116556 49430696 49638388 86233112 86867179 99276776 173734358 210963149 347468716 421926298 694937432 843852596 1476742043 1687705192 2953484086 5906968172 11813936344