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1117968637632 = 26371175620173
BaseRepresentation
bin10000010001001100000…
…111111001111011000000
310221212200011020010200020
4100101030013321323000
5121304044432401012
62213330535453440
7143525206425120
oct20211407717300
93855604203606
101117968637632
113a1145172440
12160805527280
1381568677732
143c177a8cc80
151e133211a8c
hex1044c1f9ec0

1117968637632 has 112 divisors (see below), whose sum is σ = 3687844645632. Its totient is φ = 290381460480.

The previous prime is 1117968637619. The next prime is 1117968637703. The reversal of 1117968637632 is 2367368697111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37795303 + ... + 37824870.

It is an arithmetic number, because the mean of its divisors is an integer number (32927184336).

Almost surely, 21117968637632 is an apocalyptic number.

1117968637632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1117968637632 is an abundant number, since it is smaller than the sum of its proper divisors (2569876008000).

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

1117968637632 is a wasteful number, since it uses less digits than its factorization.

1117968637632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75620206 (or 75620196 counting only the distinct ones).

The product of its digits is 13716864, while the sum is 60.

The spelling of 1117968637632 in words is "one trillion, one hundred seventeen billion, nine hundred sixty-eight million, six hundred thirty-seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 231 264 308 336 352 448 462 528 616 672 704 924 1056 1232 1344 1848 2112 2464 3696 4928 7392 14784 75620173 151240346 226860519 302480692 453721038 529341211 604961384 831821903 907442076 1058682422 1209922768 1588023633 1663643806 1814884152 2117364844 2419845536 2495465709 3176047266 3327287612 3629768304 4234729688 4839691072 4990931418 5822753321 6352094532 6654575224 7259536608 8469459376 9981862836 11645506642 12704189064 13309150448 14519073216 16938918752 17468259963 19963725672 23291013284 25408378128 26618300896 33877837504 34936519926 39927451344 46582026568 50816756256 53236601792 69873039852 79854902688 93164053136 101633512512 139746079704 159709805376 186328106272 279492159408 372656212544 558984318816 1117968637632