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113049673512888 = 23373974313932713
BaseRepresentation
bin11001101101000101101101…
…101000011011011110111000
3112211021102222010021222001210
4121231011231220123132320
5104304201212404403023
61040234145243043120
732545366203622140
oct3155055550333670
9484242863258053
10113049673512888
1133026108554362
121081994ab104a0
134b1070002b228
141dcb8c205b920
15d10a34d09593
hex66d16da1b7b8

113049673512888 has 128 divisors (see below), whose sum is σ = 324564054865920. Its totient is φ = 32143785569280.

The previous prime is 113049673512877. The next prime is 113049673512889. The reversal of 113049673512888 is 888215376940311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113049673512889) 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, 26779620 + ... + 30712332.

It is an arithmetic number, because the mean of its divisors is an integer number (2535656678640).

It is a 1-persistent number, because it is pandigital, but 2⋅113049673512888 = 226099347025776 is not.

Almost surely, 2113049673512888 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 113049673512888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162282027432960).

113049673512888 is an abundant number, since it is smaller than the sum of its proper divisors (211514381353032).

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

113049673512888 is a wasteful number, since it uses less digits than its factorization.

113049673512888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3933557 (or 3933553 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 66.

The spelling of 113049673512888 in words is "one hundred thirteen trillion, forty-nine billion, six hundred seventy-three million, five hundred twelve thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 397 431 794 862 1191 1293 1588 1724 2382 2586 2779 3017 3176 3448 4764 5172 5558 6034 8337 9051 9528 10344 11116 12068 16674 18102 22232 24136 33348 36204 66696 72408 171107 342214 513321 684428 1026642 1197749 1368856 2053284 2395498 3593247 3932713 4106568 4790996 7186494 7865426 9581992 11798139 14372988 15730852 23596278 27528991 28745976 31461704 47192556 55057982 82586973 94385112 110115964 165173946 220231928 330347892 660695784 1561287061 1694999303 3122574122 3389998606 4683861183 5084997909 6245148244 6779997212 9367722366 10169995818 10929009427 11864995121 12490296488 13559994424 18735444732 20339991636 21858018854 23729990242 32787028281 35594985363 37470889464 40679983272 43716037708 47459980484 65574056562 71189970726 87432075416 94919960968 131148113124 142379941452 262296226248 284759882904 672914723291 1345829446582 2018744169873 2691658893164 4037488339746 4710403063037 5383317786328 8074976679492 9420806126074 14131209189111 16149953358984 18841612252148 28262418378222 37683224504296 56524836756444 113049673512888