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10026476112 = 2432313616673
BaseRepresentation
bin10010101011001111…
…11110001001010000
3221212202120202112010
421111213332021100
5131013234213422
64334530102520
7503315432532
oct112547761120
927782522463
1010026476112
1142857589a4
121b39a1aa40
13c3a32a503
146b1895852
153da38cb0c
hex2559fe250

10026476112 has 80 divisors (see below), whose sum is σ = 27051804288. Its totient is φ = 3194019840.

The previous prime is 10026476069. The next prime is 10026476123. The reversal of 10026476112 is 21167462001.

10026476112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10026476112.

It is a congruent number.

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, 1499208 + ... + 1505880.

Almost surely, 210026476112 is an apocalyptic number.

10026476112 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 10026476112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13525902144).

10026476112 is an abundant number, since it is smaller than the sum of its proper divisors (17025328176).

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

10026476112 is a wasteful number, since it uses less digits than its factorization.

10026476112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8068 (or 8062 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 10026476112 in words is "ten billion, twenty-six million, four hundred seventy-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 1361 2722 4083 5444 6673 8166 10888 13346 16332 20019 21776 26692 31303 32664 40038 53384 62606 65328 80076 93909 106768 125212 153479 160152 187818 250424 306958 320304 375636 460437 500848 613916 751272 920874 1227832 1502544 1841748 2455664 3683496 7366992 9081953 18163906 27245859 36327812 54491718 72655624 108983436 145311248 208884919 217966872 417769838 435933744 626654757 835539676 1253309514 1671079352 2506619028 3342158704 5013238056 10026476112