Search a number
-
+
51036096192480 = 253257317192113149
BaseRepresentation
bin10111001101010110001000…
…11000100101111111100000
320200201000002021221020221200
423212223010120211333200
523142133411111124410
6300313354154321200
713515144016641000
oct1346530430457740
9220630067836850
1051036096192480
1115297317879713
125883179429200
1322628b605c099
14c86235988000
155d78752d93c0
hex2e6ac4625fe0

51036096192480 has 3456 divisors, whose sum is σ = 230509450080000. Its totient is φ = 10240104333312.

The previous prime is 51036096192449. The next prime is 51036096192481. The reversal of 51036096192480 is 8429169063015.

51036096192480 is a `hidden beast` number, since 5 + 1 + 0 + 3 + 60 + 96 + 19 + 2 + 480 = 666.

51036096192480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×510360961924802 (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51036096192481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 342524135446 + ... + 342524135594.

It is an arithmetic number, because the mean of its divisors is an integer number (66698336250).

Almost surely, 251036096192480 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 51036096192480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115254725040000).

51036096192480 is an abundant number, since it is smaller than the sum of its proper divisors (179473353887520).

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

51036096192480 is a wasteful number, since it uses less digits than its factorization.

51036096192480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 51036096192480 in words is "fifty-one trillion, thirty-six billion, ninety-six million, one hundred ninety-two thousand, four hundred eighty".