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51055011234 = 2339726337061
BaseRepresentation
bin101111100011000111…
…011010010110100010
311212210010000021222000
4233203013122112202
51314030040324414
635242050024430
73455122302153
oct574307322642
9155703007860
1051055011234
111a71a24a667
129a8a278116
134a784cb226
1426848bb92a
1514dc2e0b09
hexbe31da5a2

51055011234 has 64 divisors (see below), whose sum is σ = 115064167680. Its totient is φ = 16778396160.

The previous prime is 51055011229. The next prime is 51055011251. The reversal of 51055011234 is 43211055015.

51055011234 is a `hidden beast` number, since 510 + 5 + 5 + 0 + 112 + 34 = 666.

It is a super-2 number, since 2×510550112342 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 51055011198 and 51055011207.

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 31 ways as a sum of consecutive naturals, for example, 1359064 + ... + 1396124.

It is an arithmetic number, because the mean of its divisors is an integer number (1797877620).

Almost surely, 251055011234 is an apocalyptic number.

51055011234 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 51055011234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57532083840).

51055011234 is an abundant number, since it is smaller than the sum of its proper divisors (64009156446).

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

51055011234 is a wasteful number, since it uses less digits than its factorization.

51055011234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37432 (or 37426 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 51055011234 its reverse (43211055015), we get a palindrome (94266066249).

The spelling of 51055011234 in words is "fifty-one billion, fifty-five million, eleven thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 97 194 263 291 526 582 789 873 1578 1746 2367 2619 4734 5238 7101 14202 25511 37061 51022 74122 76533 111183 153066 222366 229599 333549 459198 667098 688797 1000647 1377594 2001294 3594917 7189834 9747043 10784751 19494086 21569502 29241129 32354253 58482258 64708506 87723387 97062759 175446774 194125518 263170161 526340322 945463171 1890926342 2836389513 5672779026 8509168539 17018337078 25527505617 51055011234