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51142250124 = 2234731977499
BaseRepresentation
bin101111101000010100…
…001100111010001100
311220000012011111020000
4233220110030322030
51314214404000444
635254443524300
73460231645020
oct575024147214
9156005144200
1051142250124
111a764515519
129ab3529690
134a905c4484
14269230a380
1514e4cc4469
hexbe850ce8c

51142250124 has 240 divisors, whose sum is σ = 159371520000. Its totient is φ = 13993067520.

The previous prime is 51142250119. The next prime is 51142250153. The reversal of 51142250124 is 42105224115.

It is a happy number.

51142250124 is a `hidden beast` number, since 5 + 114 + 22 + 501 + 24 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6816127 + ... + 6823625.

It is an arithmetic number, because the mean of its divisors is an integer number (664048000).

Almost surely, 251142250124 is an apocalyptic number.

51142250124 is a gapful number since it is divisible by the number (54) 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 51142250124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79685760000).

51142250124 is an abundant number, since it is smaller than the sum of its proper divisors (108229269876).

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

51142250124 is a wasteful number, since it uses less digits than its factorization.

51142250124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7650 (or 7639 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 51142250124 its reverse (42105224115), we get a palindrome (93247474239).

The spelling of 51142250124 in words is "fifty-one billion, one hundred forty-two million, two hundred fifty thousand, one hundred twenty-four".