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5510139264 = 27337239953
BaseRepresentation
bin1010010000110111…
…00000110110000000
3112020000022002002000
411020123200312000
542241043424024
62310433224000
7253355260650
oct51033406600
915200262060
105510139264
11237836a203
121099402000
1369a753a46
143a3b36360
15223b23cc9
hex1486e0d80

5510139264 has 256 divisors, whose sum is σ = 18683136000. Its totient is φ = 1566093312.

The previous prime is 5510139259. The next prime is 5510139307. The reversal of 5510139264 is 4629310155.

5510139264 is a `hidden beast` number, since 5 + 510 + 139 + 2 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5781412 + ... + 5782364.

It is an arithmetic number, because the mean of its divisors is an integer number (72981000).

Almost surely, 25510139264 is an apocalyptic number.

5510139264 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5510139264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9341568000).

5510139264 is an abundant number, since it is smaller than the sum of its proper divisors (13172996736).

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

5510139264 is a wasteful number, since it uses less digits than its factorization.

5510139264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5510139264 is about 74230.3122989524. The cubic root of 5510139264 is about 1766.2582028189.

The spelling of 5510139264 in words is "five billion, five hundred ten million, one hundred thirty-nine thousand, two hundred sixty-four".