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553722365952 = 2113872292
BaseRepresentation
bin10000000111011000110…
…11001100100000000000
31221221020212022200000000
420003230123030200000
533033010411202302
61102213200000000
755001520311100
oct10035433144000
91857225280000
10553722365952
111a3917927148
128b394600000
13402a61426b2
141cb2c077200
15e60c1ab31c
hex80ec6cc800

553722365952 has 972 divisors, whose sum is σ = 2000719240065. Its totient is φ = 152750997504.

The previous prime is 553722365941. The next prime is 553722365957. The reversal of 553722365952 is 259563227355.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

553722365952 is a `hidden beast` number, since 5 + 537 + 2 + 2 + 3 + 6 + 59 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 553393161216 + 329204736 = 743904^2 + 18144^2 .

It is a tau number, because it is divible by the number of its divisors (972).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=526176.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (553722365957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 19093874674 + ... + 19093874702.

Almost surely, 2553722365952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 553722365952

553722365952 is an abundant number, since it is smaller than the sum of its proper divisors (1446996874113).

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

553722365952 is an frugal number, since it uses more digits than its factorization.

553722365952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 41 counting only the distinct ones).

The product of its digits is 17010000, while the sum is 54.

The spelling of 553722365952 in words is "five hundred fifty-three billion, seven hundred twenty-two million, three hundred sixty-five thousand, nine hundred fifty-two".