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496933354225 = 527211218312
BaseRepresentation
bin1110011101100111000…
…10010011101011110001
31202111200010202222002101
413032303202103223301
531120204414313400
61020142114220401
750621320550200
oct7166342235361
91674603688071
10496933354225
11181825a18100
1280385b84701
1337b25a00689
141a0a1c2d237
15cdd67c756a
hex73b3893af1

496933354225 has 81 divisors (see below), whose sum is σ = 788319253323. Its totient is φ = 309607452000.

The previous prime is 496933354147. The next prime is 496933354259. The reversal of 496933354225 is 522453339694.

The square root of 496933354225 is 704935.

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

It can be written as a sum of positive squares in only one way, i.e., 178896007521 + 318037346704 = 422961^2 + 563948^2 .

It is not a de Polignac number, because 496933354225 - 211 = 496933352177 is a prime.

It is a super-3 number, since 3×4969333542253 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 271399060 + ... + 271400890.

Almost surely, 2496933354225 is an apocalyptic number.

496933354225 is the 704935-th square number.

496933354225 is the 352468-th centered octagonal number.

It is an amenable number.

496933354225 is a deficient number, since it is larger than the sum of its proper divisors (291385899098).

496933354225 is an equidigital number, since it uses as much as digits as its factorization.

496933354225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3708 (or 1854 counting only the distinct ones).

The product of its digits is 20995200, while the sum is 55.

It can be divided in two parts, 496933 and 354225, that added together give a palindrome (851158).

The spelling of 496933354225 in words is "four hundred ninety-six billion, nine hundred thirty-three million, three hundred fifty-four thousand, two hundred twenty-five".

Divisors: 1 5 7 11 25 35 49 55 77 121 175 245 275 385 539 605 847 1225 1831 1925 2695 3025 4235 5929 9155 12817 13475 20141 21175 29645 45775 64085 89719 100705 140987 148225 221551 320425 448595 503525 704935 986909 1107755 1550857 2242975 3352561 3524675 4934545 5538775 7754285 10855999 16762805 23467927 24672725 36878171 38771425 54279995 83814025 117339635 164275489 184390855 258147197 271399975 405659881 586698175 821377445 921954275 1290735985 1807030379 2028299405 2839619167 4106887225 6453679925 9035151895 10141497025 14198095835 19877334169 45175759475 70990479175 99386670845 496933354225