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20920525108 = 22721761102929
BaseRepresentation
bin10011011110111101…
…011110000100110100
31222222222122210022021
4103132331132010310
5320321123300413
613335531242524
71340300346400
oct233675360464
958888583267
1020920525108
11896610017a
12407a2a9444
131c85309752
141026666100
1582699e18d
hex4def5e134

20920525108 has 72 divisors (see below), whose sum is σ = 45833082120. Its totient is φ = 8300113920.

The previous prime is 20920525103. The next prime is 20920525121. The reversal of 20920525108 is 80152502902.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5890255504 + 15030269604 = 76748^2 + 122598^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20920525103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151788 + ... + 254716.

It is an arithmetic number, because the mean of its divisors is an integer number (636570585).

Almost surely, 220920525108 is an apocalyptic number.

20920525108 is a gapful number since it is divisible by the number (28) 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 20920525108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22916541060).

20920525108 is an abundant number, since it is smaller than the sum of its proper divisors (24912557012).

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

20920525108 is a wasteful number, since it uses less digits than its factorization.

20920525108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103025 (or 103016 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The spelling of 20920525108 in words is "twenty billion, nine hundred twenty million, five hundred twenty-five thousand, one hundred eight".

Divisors: 1 2 4 7 14 17 28 34 49 61 68 98 119 122 196 238 244 427 476 833 854 1037 1666 1708 2074 2989 3332 4148 5978 7259 11956 14518 29036 50813 101626 102929 203252 205858 411716 720503 1441006 1749793 2882012 3499586 5043521 6278669 6999172 10087042 12248551 12557338 20174084 24497102 25114676 43950683 48994204 85739857 87901366 106737373 171479714 175802732 213474746 307654781 342959428 426949492 615309562 747161611 1230619124 1494323222 2988646444 5230131277 10460262554 20920525108