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20526428416 = 281314834159
BaseRepresentation
bin10011000111011110…
…000111000100000000
31221222112002121021111
4103013132013010000
5314014231202131
613232452333104
71324443522424
oct230736070400
957875077244
1020526428416
1187836a752a
123b8a314194
131c21784140
14dca19ab84
158020a4ab1
hex4c7787100

20526428416 has 72 divisors (see below), whose sum is σ = 44164789760. Its totient is φ = 9465071616.

The previous prime is 20526428411. The next prime is 20526428509. The reversal of 20526428416 is 61482462502.

It is not an unprimeable number, because it can be changed into a prime (20526428411) 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, 4933345 + ... + 4937503.

Almost surely, 220526428416 is an apocalyptic number.

20526428416 is a gapful number since it is divisible by the number (26) 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 20526428416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22082394880).

20526428416 is an abundant number, since it is smaller than the sum of its proper divisors (23638361344).

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

20526428416 is a wasteful number, since it uses less digits than its factorization.

20526428416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5671 (or 5657 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The spelling of 20526428416 in words is "twenty billion, five hundred twenty-six million, four hundred twenty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1483 1664 2966 3328 4159 5932 8318 11864 16636 19279 23728 33272 38558 47456 54067 66544 77116 94912 108134 133088 154232 189824 216268 266176 308464 379648 432536 532352 616928 865072 1064704 1233856 1730144 2467712 3460288 4935424 6167797 6920576 12335594 13841152 24671188 49342376 80181361 98684752 160362722 197369504 320725444 394739008 641450888 789478016 1282901776 1578956032 2565803552 5131607104 10263214208 20526428416