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10439695874112 = 263109991503369
BaseRepresentation
bin1001011111101010111001…
…0111010011100001000000
31100222000200100120222000220
42113322232113103201000
52332020444120432422
634111532521343040
72125146252533601
oct227725627234100
940860610528026
1010439695874112
1133654a518214a
121207349037a80
135a95c783536b
142813d9333da8
1513186179be5c
hex97eae5d3840

10439695874112 has 112 divisors (see below), whose sum is σ = 27903289075200. Its totient is φ = 3444486819840.

The previous prime is 10439695874057. The next prime is 10439695874143. The reversal of 10439695874112 is 21147859693401.

10439695874112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×104396958741122 (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

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, 20487964 + ... + 20991332.

It is an arithmetic number, because the mean of its divisors is an integer number (249136509600).

It is a 1-persistent number, because it is pandigital, but 2⋅10439695874112 = 20879391748224 is not.

Almost surely, 210439695874112 is an apocalyptic number.

10439695874112 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 10439695874112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13951644537600).

10439695874112 is an abundant number, since it is smaller than the sum of its proper divisors (17463593201088).

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

10439695874112 is a wasteful number, since it uses less digits than its factorization.

10439695874112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504484 (or 504474 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 10439695874112 in words is "ten trillion, four hundred thirty-nine billion, six hundred ninety-five million, eight hundred seventy-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 192 218 327 436 654 872 991 1308 1744 1982 2616 2973 3488 3964 5232 5946 6976 7928 10464 11892 15856 20928 23784 31712 47568 63424 95136 108019 190272 216038 324057 432076 503369 648114 864152 1006738 1296228 1510107 1728304 2013476 2592456 3020214 3456608 4026952 5184912 6040428 6913216 8053904 10369824 12080856 16107808 20739648 24161712 32215616 48323424 54867221 96646848 109734442 164601663 219468884 329203326 438937768 498838679 658406652 877875536 997677358 1316813304 1496516037 1755751072 1995354716 2633626608 2993032074 3511502144 3990709432 5267253216 5986064148 7981418864 10534506432 11972128296 15962837728 23944256592 31925675456 47888513184 54373416011 95777026368 108746832022 163120248033 217493664044 326240496066 434987328088 652480992132 869974656176 1304961984264 1739949312352 2609923968528 3479898624704 5219847937056 10439695874112