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51153552054 = 23411237112107
BaseRepresentation
bin101111101000111111…
…010100001010110110
311220000222102200120000
4233220333110022312
51314230302131204
635255530052130
73460430006163
oct575077241266
9156028380500
1051153552054
111a76a934860
129ab727a046
134a92a507c7
142693a0d06a
1514e5ca8039
hexbe8fd42b6

51153552054 has 80 divisors (see below), whose sum is σ = 125105086656. Its totient is φ = 15493258800.

The previous prime is 51153552049. The next prime is 51153552059. The reversal of 51153552054 is 45025535115.

51153552054 is a `hidden beast` number, since 5 + 1 + 1 + 53 + 552 + 0 + 54 = 666.

It is an interprime number because it is at equal distance from previous prime (51153552049) and next prime (51153552059).

It is a super-3 number, since 3×511535520543 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51153552059) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4219069 + ... + 4231175.

Almost surely, 251153552054 is an apocalyptic number.

51153552054 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 51153552054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62552543328).

51153552054 is an abundant number, since it is smaller than the sum of its proper divisors (73951534602).

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

51153552054 is a wasteful number, since it uses less digits than its factorization.

51153552054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14503 (or 14494 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 36.

The spelling of 51153552054 in words is "fifty-one billion, one hundred fifty-three million, five hundred fifty-two thousand, fifty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1782 2371 4742 7113 12107 14226 21339 24214 26081 36321 42678 52162 64017 72642 78243 108963 128034 133177 156486 192051 217926 234729 266354 326889 384102 399531 469458 653778 704187 799062 980667 1198593 1408374 1961334 2112561 2397186 3595779 4225122 7191558 10787337 21574674 28705697 57411394 86117091 172234182 258351273 315762667 516702546 631525334 775053819 947288001 1550107638 1894576002 2325161457 2841864003 4650322914 5683728006 8525592009 17051184018 25576776027 51153552054