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11122416192 = 2631728312041
BaseRepresentation
bin10100101101111001…
…01001101001000000
31001201010210021200110
422112330221221000
5140234314304232
65035355551320
7542423656236
oct122674515100
931633707613
1011122416192
11479834a9a8
1221a4a5b540
1310833b9274
14777258956
154516c0acc
hex296f29a40

11122416192 has 112 divisors (see below), whose sum is σ = 31271821632. Its totient is φ = 3476766720.

The previous prime is 11122416181. The next prime is 11122416223. The reversal of 11122416192 is 29161422111.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 917692 + ... + 929732.

Almost surely, 211122416192 is an apocalyptic number.

11122416192 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 11122416192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15635910816).

11122416192 is an abundant number, since it is smaller than the sum of its proper divisors (20149405440).

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

11122416192 is a wasteful number, since it uses less digits than its factorization.

11122416192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12356 (or 12346 counting only the distinct ones).

The product of its digits is 1728, while the sum is 30.

The spelling of 11122416192 in words is "eleven billion, one hundred twenty-two million, four hundred sixteen thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 283 408 544 566 816 849 1088 1132 1632 1698 2264 3264 3396 4528 4811 6792 9056 9622 12041 13584 14433 18112 19244 24082 27168 28866 36123 38488 48164 54336 57732 72246 76976 96328 115464 144492 153952 192656 204697 230928 288984 307904 385312 409394 461856 577968 614091 770624 818788 923712 1155936 1228182 1637576 2311872 2456364 3275152 3407603 4912728 6550304 6815206 9825456 10222809 13100608 13630412 19650912 20445618 27260824 39301824 40891236 54521648 57929251 81782472 109043296 115858502 163564944 173787753 218086592 231717004 327129888 347575506 463434008 654259776 695151012 926868016 1390302024 1853736032 2780604048 3707472064 5561208096 11122416192