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20553972203520 = 21433572199953
BaseRepresentation
bin1001010110001100110000…
…01101100100000000000000
32200202221101122220020101000
410223012120031210000000
510143224013341003040
6111414210421012000
74220655410040300
oct453063015440000
980687348806330
1020553972203520
116604988516908
12237b5b7854000
13b6130110cbc2
14510b6356b600
152599c8e43130
hex12b198364000

20553972203520 has 1440 divisors, whose sum is σ = 85526588448000. Its totient is φ = 4669537517568.

The previous prime is 20553972203519. The next prime is 20553972203563. The reversal of 20553972203520 is 2530227935502.

It is a happy number.

20553972203520 is a `hidden beast` number, since 2 + 0 + 5 + 5 + 39 + 72 + 20 + 3 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 21567651364 + ... + 21567652316.

It is an arithmetic number, because the mean of its divisors is an integer number (59393464200).

Almost surely, 220553972203520 is an apocalyptic number.

20553972203520 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 20553972203520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42763294224000).

20553972203520 is an abundant number, since it is smaller than the sum of its proper divisors (64972616244480).

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

20553972203520 is an equidigital number, since it uses as much as digits as its factorization.

20553972203520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 20553972203520 in words is "twenty trillion, five hundred fifty-three billion, nine hundred seventy-two million, two hundred three thousand, five hundred twenty".