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51034412000 = 2553112138111
BaseRepresentation
bin101111100001111000…
…110101001111100000
311212201200020202010102
4233201320311033200
51314004302141000
635240032321532
73454452226115
oct574170651740
9155650222112
1051034412000
111a709660100
129a833a32a8
134a74168130
142681c7890c
1514da5c23d5
hexbe1e353e0

51034412000 has 288 divisors, whose sum is σ = 148447458432. Its totient is φ = 17128320000.

The previous prime is 51034411997. The next prime is 51034412003. The reversal of 51034412000 is 21443015.

It is an interprime number because it is at equal distance from previous prime (51034411997) and next prime (51034412003).

It is a super-2 number, since 2×510344120002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51034412003) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6287945 + ... + 6296055.

It is an arithmetic number, because the mean of its divisors is an integer number (515442564).

Almost surely, 251034412000 is an apocalyptic number.

51034412000 is a gapful number since it is divisible by the number (50) 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 51034412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74223729216).

51034412000 is an abundant number, since it is smaller than the sum of its proper divisors (97413046432).

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

51034412000 is a wasteful number, since it uses less digits than its factorization.

51034412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8171 (or 8142 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 51034412000 its reverse (21443015), we get a palindrome (51055855015).

The spelling of 51034412000 in words is "fifty-one billion, thirty-four million, four hundred twelve thousand".