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20520266760100 = 225217193211313947
BaseRepresentation
bin1001010101001101111110…
…01101011111111110100100
32200122201101200011022012201
410222212333031133332210
510142201001242310400
6111350514100224244
74215353224353352
oct452467715377644
980581350138181
1020520266760100
1165a1661695348
122374b6b99b084
13b5b08c169643
1450d286d667d2
15258ba4d7a06a
hex12a9bf35ffa4

20520266760100 has 288 divisors, whose sum is σ = 47819806586496. Its totient is φ = 7616338329600.

The previous prime is 20520266760029. The next prime is 20520266760181. The reversal of 20520266760100 is 106766202502.

It is a self number, because there is not a number n which added to its sum of digits gives 20520266760100.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21668707827 + ... + 21668708773.

It is an arithmetic number, because the mean of its divisors is an integer number (166040995092).

Almost surely, 220520266760100 is an apocalyptic number.

20520266760100 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 20520266760100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23909903293248).

20520266760100 is an abundant number, since it is smaller than the sum of its proper divisors (27299539826396).

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

20520266760100 is a wasteful number, since it uses less digits than its factorization.

20520266760100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 20520266760100 in words is "twenty trillion, five hundred twenty billion, two hundred sixty-six million, seven hundred sixty thousand, one hundred".