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2061259499520 = 21132513192331127
BaseRepresentation
bin11101111111101100101…
…000111110100000000000
321022001110201101212020200
4131333230220332200000
5232232424412441040
64214532440405200
7301630634442024
oct35775450764000
97261421355220
102061259499520
117251a2283541
1229359b776800
1311c4b6c18c40
1471aa0720384
15389410c0630
hex1dfeca3e800

2061259499520 has 2304 divisors, whose sum is σ = 8791798579200. Its totient is φ = 441447874560.

The previous prime is 2061259499503. The next prime is 2061259499561. The reversal of 2061259499520 is 259949521602.

2061259499520 is a `hidden beast` number, since 2 + 0 + 6 + 1 + 25 + 9 + 4 + 99 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×20612594995202 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16230389697 + ... + 16230389823.

It is an arithmetic number, because the mean of its divisors is an integer number (3815884800).

Almost surely, 22061259499520 is an apocalyptic number.

2061259499520 is a gapful number since it is divisible by the number (20) 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 2061259499520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4395899289600).

2061259499520 is an abundant number, since it is smaller than the sum of its proper divisors (6730539079680).

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

2061259499520 is a wasteful number, since it uses less digits than its factorization.

2061259499520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 2061259499520 in words is "two trillion, sixty-one billion, two hundred fifty-nine million, four hundred ninety-nine thousand, five hundred twenty".