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51233710080 = 213357267127
BaseRepresentation
bin101111101101110001…
…000110000000000000
311220020120021010200210
4233231301012000000
51314411312210310
635311512114120
73462422231100
oct575561060000
9156216233623
1051233710080
111a801103763
129b1a095940
134aa6537aa7
1426a0517200
1514ecd3d820
hexbedc46000

51233710080 has 672 divisors, whose sum is σ = 195073560576. Its totient is φ = 11444944896.

The previous prime is 51233710069. The next prime is 51233710081. The reversal of 51233710080 is 8001733215.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×512337100802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51233710081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 403414977 + ... + 403415103.

Almost surely, 251233710080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51233710080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97536780288).

51233710080 is an abundant number, since it is smaller than the sum of its proper divisors (143839850496).

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

51233710080 is a wasteful number, since it uses less digits than its factorization.

51233710080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 51233710080 in words is "fifty-one billion, two hundred thirty-three million, seven hundred ten thousand, eighty".