Search a number
-
+
51651119638140 = 2235112101251280639
BaseRepresentation
bin10111011111001111101101…
…01000110110011001111100
320202212210120100001102112020
423233213312220312121330
523232222443111410030
6301504110301240140
713610445615655101
oct1357476650663174
9222783510042466
1051651119638140
1115504131548300
1259623bb563050
1322a88ab3541b9
14ca7cdb1d6aa8
155e886e04d510
hex2ef9f6a3667c

51651119638140 has 288 divisors, whose sum is σ = 161180020592640. Its totient is φ = 12348072000000.

The previous prime is 51651119638103. The next prime is 51651119638141. The reversal of 51651119638140 is 4183691115615.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51651119638141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 183907941 + ... + 184188579.

It is an arithmetic number, because the mean of its divisors is an integer number (559652849280).

Almost surely, 251651119638140 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 51651119638140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80590010296320).

51651119638140 is an abundant number, since it is smaller than the sum of its proper divisors (109528900954500).

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

51651119638140 is a wasteful number, since it uses less digits than its factorization.

51651119638140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281025 (or 281012 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 51.

The spelling of 51651119638140 in words is "fifty-one trillion, six hundred fifty-one billion, one hundred nineteen million, six hundred thirty-eight thousand, one hundred forty".