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663474564 = 22310532
BaseRepresentation
bin100111100010111…
…101000110000100
31201020110000000000
4213202331012010
52324322141224
6145500321300
722304304114
oct4742750604
91636400000
10663474564
11310572295
12166243230
13a75c11cc
146418b044
153d3aa0c9
hex278bd184

663474564 has 99 divisors (see below), whose sum is σ = 1775091493. Its totient is φ = 216985392.

The previous prime is 663474523. The next prime is 663474577. The reversal of 663474564 is 465474366.

It is a happy number.

The square root of 663474564 is 25758.

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

663474564 is a `hidden beast` number, since 6 + 634 + 7 + 4 + 5 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 478296900 + 185177664 = 21870^2 + 13608^2 .

It is a Duffinian number.

Its product of digits (1451520) is a multiple of the sum of its prime factors (140).

It is an unprimeable number.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 12518362 + ... + 12518414.

Almost surely, 2663474564 is an apocalyptic number.

663474564 is the 25758-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 663474564

663474564 is an abundant number, since it is smaller than the sum of its proper divisors (1111616929).

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

663474564 is an frugal number, since it uses more digits than its factorization.

663474564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 58 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The cubic root of 663474564 is about 872.1839541909.

The spelling of 663474564 in words is "six hundred sixty-three million, four hundred seventy-four thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 81 106 108 159 162 212 243 318 324 477 486 636 729 954 972 1431 1458 1908 2187 2809 2862 2916 4293 4374 5618 5724 6561 8427 8586 8748 11236 12879 13122 16854 17172 19683 25281 25758 26244 33708 38637 39366 50562 51516 59049 75843 77274 78732 101124 115911 118098 151686 154548 227529 231822 236196 303372 347733 455058 463644 682587 695466 910116 1043199 1365174 1390932 2047761 2086398 2730348 3129597 4095522 4172796 6143283 6259194 8191044 12286566 12518388 18429849 24573132 36859698 55289547 73719396 110579094 165868641 221158188 331737282 663474564