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663499848025 = 5272172374
BaseRepresentation
bin10011010011110111010…
…11000011100101011001
32100102121110000120011101
421221323223003211121
541332321430114100
61224450240231401
765636100440200
oct11517353034531
92312543016141
10663499848025
11236430404243
12a871090b561
134a74c4cca91
1424183896237
15123d499c86a
hex9a7bac3959

663499848025 has 135 divisors (see below), whose sum is σ = 1044915179649. Its totient is φ = 416635107840.

The previous prime is 663499847981. The next prime is 663499848031. The reversal of 663499848025 is 520848994366.

The square root of 663499848025 is 814555.

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

It can be written as a sum of positive squares in 22 ways, for example, as 156459011401 + 507040836624 = 395549^2 + 712068^2 .

It is not a de Polignac number, because 663499848025 - 27 = 663499847897 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 17932428307 + ... + 17932428343.

Almost surely, 2663499848025 is an apocalyptic number.

663499848025 is the 814555-th square number.

663499848025 is the 407278-th centered octagonal number.

It is an amenable number.

663499848025 is a deficient number, since it is larger than the sum of its proper divisors (381415331624).

663499848025 is an frugal number, since it uses more digits than its factorization.

663499848025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 64.

Multiplying 663499848025 by its sum of digits (64), we get a square (42463990273600 = 65164402).

The spelling of 663499848025 in words is "six hundred sixty-three billion, four hundred ninety-nine million, eight hundred forty-eight thousand, twenty-five".

Divisors: 1 5 7 17 25 35 37 49 85 119 175 185 245 259 289 425 595 629 833 925 1225 1295 1369 1445 1813 2023 2975 3145 4165 4403 6475 6845 7225 9065 9583 10115 10693 14161 15725 20825 22015 23273 30821 34225 45325 47915 50575 50653 53465 67081 70805 74851 110075 116365 154105 162911 239575 253265 267325 335405 354025 354571 374255 395641 523957 581825 770525 814555 861101 1140377 1266325 1677025 1772855 1871275 1874161 1978205 2481997 2619785 2769487 4072775 4305505 5701885 6027707 8864275 9370805 9891025 12409985 13098925 13119127 13847435 14638717 19386409 21527525 28509425 30138535 31860737 42193949 46854025 62049925 65595635 69237175 73193585 91833889 96932045 102471019 150692675 159303685 210969745 223025159 327978175 365967925 459169445 484660225 512355095 541632529 717297133 796518425 1054848725 1115125795 1561176113 2295847225 2561775475 2708162645 3586485665 3791427703 5575628975 7805880565 13540813225 17932428325 18957138515 26539993921 39029402825 94785692575 132699969605 663499848025