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2059426512 = 24331113173753
BaseRepresentation
bin111101011000000…
…0101101011010000
312022112011201002000
41322300011223100
513204203122022
6540204354000
7102014556633
oct17260055320
95275151060
102059426512
11967546690
12495845900
1326a883290
14157727c1a
15c0c006ac
hex7ac05ad0

2059426512 has 640 divisors, whose sum is σ = 7694507520. Its totient is φ = 517570560.

The previous prime is 2059426451. The next prime is 2059426519. The reversal of 2059426512 is 2156249502.

2059426512 is a `hidden beast` number, since 2 + 0 + 594 + 2 + 65 + 1 + 2 = 666.

It is a super-2 number, since 2×20594265122 = 8482475116656972288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2059426519) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38857078 + ... + 38857130.

It is an arithmetic number, because the mean of its divisors is an integer number (12022668).

Almost surely, 22059426512 is an apocalyptic number.

2059426512 is a gapful number since it is divisible by the number (22) 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 2059426512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3847253760).

2059426512 is an abundant number, since it is smaller than the sum of its proper divisors (5635081008).

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

2059426512 is a wasteful number, since it uses less digits than its factorization.

2059426512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2059426512 is about 45380.9047067156. The cubic root of 2059426512 is about 1272.2782410191.

The spelling of 2059426512 in words is "two billion, fifty-nine million, four hundred twenty-six thousand, five hundred twelve".