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20624522048 = 26133146681
BaseRepresentation
bin10011001101010100…
…010011101101000000
31222020100200021102222
4103031110103231000
5314214334201143
613250315030212
71330044354614
oct231524235500
958210607388
1020624522048
118824006749
123bb713b368
131c38bab000
14dd9213344
1580a9ce768
hex4cd513b40

20624522048 has 56 divisors (see below), whose sum is σ = 44336101320. Its totient is φ = 9518945280.

The previous prime is 20624522047. The next prime is 20624522099. The reversal of 20624522048 is 84022542602.

It can be written as a sum of positive squares in 4 ways, for example, as 4756585024 + 15867937024 = 68968^2 + 125968^2 .

It is a super-2 number, since 2×206245220482 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20624521999 and 20624522017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20624522047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67268 + ... + 213948.

It is an arithmetic number, because the mean of its divisors is an integer number (791716095).

Almost surely, 220624522048 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 20624522048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22168050660).

20624522048 is an abundant number, since it is smaller than the sum of its proper divisors (23711579272).

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

20624522048 is an equidigital number, since it uses as much as digits as its factorization.

20624522048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146732 (or 146696 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

The spelling of 20624522048 in words is "twenty billion, six hundred twenty-four million, five hundred twenty-two thousand, forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2197 2704 4394 5408 8788 10816 17576 35152 70304 140608 146681 293362 586724 1173448 1906853 2346896 3813706 4693792 7627412 9387584 15254824 24789089 30509648 49578178 61019296 99156356 122038592 198312712 322258157 396625424 644516314 793250848 1289032628 1586501696 2578065256 5156130512 10312261024 20624522048