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51537047040 = 2934519103127
BaseRepresentation
bin101111111111110110…
…001110111000000000
311221000201001020210000
4233333312032320000
51321021441001130
635401545440000
73503064446313
oct577766167000
9157021036700
1051537047040
111a947357266
129ba37a0000
134b2433370b
1426cc91897a
1515197ab260
hexbffd8ee00

51537047040 has 800 divisors, whose sum is σ = 197735915520. Its totient is φ = 12791955456.

The previous prime is 51537047039. The next prime is 51537047053. The reversal of 51537047040 is 4074073515.

It is a happy number.

51537047040 is a `hidden beast` number, since 51 + 537 + 0 + 4 + 70 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 51537046986 and 51537047004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 405803457 + ... + 405803583.

Almost surely, 251537047040 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 51537047040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98867957760).

51537047040 is an abundant number, since it is smaller than the sum of its proper divisors (146198868480).

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

51537047040 is a wasteful number, since it uses less digits than its factorization.

51537047040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 51537047040 in words is "fifty-one billion, five hundred thirty-seven million, forty-seven thousand, forty".