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53114469504 = 273314461901
BaseRepresentation
bin110001011101110111…
…100111110010000000
312002002122020121121020
4301131313213302000
51332234301011004
640222255225440
73560140353525
oct613567476200
9162078217536
1053114469504
1120586808098
12a363b18280
135016092aa5
1427dc21314c
1515aceea8d9
hexc5dde7c80

53114469504 has 64 divisors (see below), whose sum is σ = 145636481280. Its totient is φ = 17133696000.

The previous prime is 53114469433. The next prime is 53114469517. The reversal of 53114469504 is 40596441135.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×531144695042 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2219047 + ... + 2242854.

It is an arithmetic number, because the mean of its divisors is an integer number (2275570020).

Almost surely, 253114469504 is an apocalyptic number.

It is an amenable number.

53114469504 is an abundant number, since it is smaller than the sum of its proper divisors (92522011776).

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

53114469504 is a wasteful number, since it uses less digits than its factorization.

53114469504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4461949 (or 4461937 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 53114469504 in words is "fifty-three billion, one hundred fourteen million, four hundred sixty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1984 2976 3968 5952 11904 4461901 8923802 13385703 17847604 26771406 35695208 53542812 71390416 107085624 138318931 142780832 214171248 276637862 285561664 414956793 428342496 553275724 571123328 829913586 856684992 1106551448 1659827172 1713369984 2213102896 3319654344 4426205792 6639308688 8852411584 13278617376 17704823168 26557234752 53114469504