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112190214698496 = 2932112213348617
BaseRepresentation
bin11001100000100101010001…
…111001001111011000000000
3112201020021112221220111102100
4121200211101321033120000
5104201111024430322441
61034335250105550400
732426322051343044
oct3140452171173000
9481207487814370
10112190214698496
113282466a44a340
12106bb26baa5400
134a7a651799b5c
141d9c06d07a024
15ce84d1a65cb6
hex660951e4f600

112190214698496 has 120 divisors (see below), whose sum is σ = 353223879249384. Its totient is φ = 33997034741760.

The previous prime is 112190214698477. The next prime is 112190214698521. The reversal of 112190214698496 is 694896412091211.

112190214698496 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 9 + 0 + 2 + 1 + 469 + 84 + 96 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 11 ways as a sum of consecutive naturals, for example, 1106623621 + ... + 1106724996.

Almost surely, 2112190214698496 is an apocalyptic number.

112190214698496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

112190214698496 is an abundant number, since it is smaller than the sum of its proper divisors (241033664550888).

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

112190214698496 is a wasteful number, since it uses less digits than its factorization.

112190214698496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213348652 (or 2213348633 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 112190214698496 in words is "one hundred twelve trillion, one hundred ninety billion, two hundred fourteen million, six hundred ninety-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1056 1152 1408 1536 1584 2112 2304 2816 3168 4224 4608 5632 6336 8448 12672 16896 25344 50688 2213348617 4426697234 6640045851 8853394468 13280091702 17706788936 19920137553 24346834787 26560183404 35413577872 39840275106 48693669574 53120366808 70827155744 73040504361 79680550212 97387339148 106240733616 141654311488 146081008722 159361100424 194774678296 212481467232 219121513083 283308622976 292162017444 318722200848 389549356592 424962934464 438243026166 566617245952 584324034888 637444401696 779098713184 849925868928 876486052332 1133234491904 1168648069776 1274888803392 1558197426368 1699851737856 1752972104664 2337296139552 2549777606784 3116394852736 3399703475712 3505944209328 4674592279104 5099555213568 6232789705472 7011888418656 9349184558208 10199110427136 12465579410944 14023776837312 18698369116416 28047553674624 37396738232832 56095107349248 112190214698496