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553501563345 = 32529424139129
BaseRepresentation
bin10000000110111110100…
…00111001100111010001
31221220200110211201202200
420003133100321213101
533032032400011340
61102135231233413
754663166442523
oct10033720714721
91856613751680
10553501563345
111a3814225955
128b332678869
134026c483873
141cb0a9dba13
15e5e7ae3330
hex80df4399d1

553501563345 has 24 divisors (see below), whose sum is σ = 992485564200. Its totient is φ = 285021494016.

The previous prime is 553501563343. The next prime is 553501563353. The reversal of 553501563345 is 543365105355.

553501563345 is a `hidden beast` number, since 5 + 5 + 3 + 5 + 0 + 1 + 5 + 633 + 4 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5900083344 + 547601480001 = 76812^2 + 740001^2 .

It is not a de Polignac number, because 553501563345 - 21 = 553501563343 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 553501563345.

It is not an unprimeable number, because it can be changed into a prime (553501563343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212068260 + ... + 212070869.

It is an arithmetic number, because the mean of its divisors is an integer number (41353565175).

Almost surely, 2553501563345 is an apocalyptic number.

It is an amenable number.

553501563345 is a deficient number, since it is larger than the sum of its proper divisors (438984000855).

553501563345 is a wasteful number, since it uses less digits than its factorization.

553501563345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424139169 (or 424139166 counting only the distinct ones).

The product of its (nonzero) digits is 2025000, while the sum is 45.

The spelling of 553501563345 in words is "five hundred fifty-three billion, five hundred one million, five hundred sixty-three thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 29 45 87 145 261 435 1305 424139129 1272417387 2120695645 3817252161 6362086935 12300034741 19086260805 36900104223 61500173705 110700312669 184500521115 553501563345