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11696947344 = 2433233731817
BaseRepresentation
bin10101110010011000…
…10100000010010000
31010012011212111021000
422321030110002100
5142423404303334
65212402102000
7562601261205
oct127114240220
933164774230
1011696947344
114a62692735
12232534a900
131145438424
147cd691cac
15486d5c299
hex2b9314090

11696947344 has 160 divisors (see below), whose sum is σ = 35982339840. Its totient is φ = 3628551168.

The previous prime is 11696947343. The next prime is 11696947351. The reversal of 11696947344 is 44374969611.

11696947344 is a `hidden beast` number, since 1 + 169 + 6 + 9 + 473 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11696947343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 351724 + ... + 383540.

It is an arithmetic number, because the mean of its divisors is an integer number (224889624).

Almost surely, 211696947344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11696947344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17991169920).

11696947344 is an abundant number, since it is smaller than the sum of its proper divisors (24285392496).

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

11696947344 is a wasteful number, since it uses less digits than its factorization.

11696947344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31894 (or 31882 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The spelling of 11696947344 in words is "eleven billion, six hundred ninety-six million, nine hundred forty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 37 46 48 54 69 72 74 92 108 111 138 144 148 184 207 216 222 276 296 333 368 414 432 444 552 592 621 666 828 851 888 999 1104 1242 1332 1656 1702 1776 1998 2484 2553 2664 3312 3404 3996 4968 5106 5328 6808 7659 7992 9936 10212 13616 15318 15984 20424 22977 30636 31817 40848 45954 61272 63634 91908 95451 122544 127268 183816 190902 254536 286353 367632 381804 509072 572706 731791 763608 859059 1145412 1177229 1463582 1527216 1718118 2195373 2290824 2354458 2927164 3436236 3531687 4390746 4581648 4708916 5854328 6586119 6872472 7063374 8781492 9417832 10595061 11708656 13172238 13744944 14126748 17562984 18835664 19758357 21190122 26344476 27076267 28253496 31785183 35125968 39516714 42380244 52688952 54152534 56506992 63570366 79033428 81228801 84760488 105377904 108305068 127140732 158066856 162457602 169520976 216610136 243686403 254281464 316133712 324915204 433220272 487372806 508562928 649830408 731059209 974745612 1299660816 1462118418 1949491224 2924236836 3898982448 5848473672 11696947344