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20952562500 = 2232561932
BaseRepresentation
bin10011100000110111…
…101011101101000100
32000002012221110100100
4103200313223231010
5320402324000000
613343034044100
71341136562022
oct234067535504
960065843310
1020952562500
1189821a2361
124088b79630
131c8bb45b9c
14102aa05712
158296cba00
hex4e0debb44

20952562500 has 189 divisors, whose sum is σ = 66548230203. Its totient is φ = 5558400000.

The previous prime is 20952562481. The next prime is 20952562529. The reversal of 20952562500 is 526525902.

The square root of 20952562500 is 144750.

It is a perfect power (a square), and thus also a powerful number.

20952562500 is a `hidden beast` number, since 2 + 0 + 9 + 5 + 25 + 625 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 12330325764 + 8622236736 = 111042^2 + 92856^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 108562404 + ... + 108562596.

Almost surely, 220952562500 is an apocalyptic number.

20952562500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20952562500 is the 144750-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20952562500

20952562500 is an abundant number, since it is smaller than the sum of its proper divisors (45595667703).

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

20952562500 is an frugal number, since it uses more digits than its factorization.

20952562500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Multiplying 20952562500 by its sum of digits (36), we get a square (754292250000 = 8685002).

20952562500 divided by its sum of digits (36) gives a square (582015625 = 241252).

The spelling of 20952562500 in words is "twenty billion, nine hundred fifty-two million, five hundred sixty-two thousand, five hundred".