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553145664 = 2637140577
BaseRepresentation
bin100000111110000…
…101010101000000
31102112211201012110
4200332011111000
52113101130124
6130515455320
716464442401
oct4076052500
91375751173
10553145664
11264266585
121352b7540
138a7a2236
145366b9a8
1533865029
hex20f85540

553145664 has 56 divisors (see below), whose sum is σ = 1484180928. Its totient is φ = 181780480.

The previous prime is 553145633. The next prime is 553145669. The reversal of 553145664 is 466541355.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553145669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6657 + ... + 33920.

Almost surely, 2553145664 is an apocalyptic number.

It is an amenable number.

553145664 is an abundant number, since it is smaller than the sum of its proper divisors (931035264).

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

553145664 is a wasteful number, since it uses less digits than its factorization.

553145664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40663 (or 40653 counting only the distinct ones).

The product of its digits is 216000, while the sum is 39.

The square root of 553145664 is about 23519.0489603640. The cubic root of 553145664 is about 820.8803078330.

The spelling of 553145664 in words is "five hundred fifty-three million, one hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 142 192 213 284 426 568 852 1136 1704 2272 3408 4544 6816 13632 40577 81154 121731 162308 243462 324616 486924 649232 973848 1298464 1947696 2596928 2880967 3895392 5761934 7790784 8642901 11523868 17285802 23047736 34571604 46095472 69143208 92190944 138286416 184381888 276572832 553145664