Search a number
-
+
520479049606656 = 29372194115756543
BaseRepresentation
bin111011001010111110111100…
…0110111010110011000000000
32112020212022101212101121111120
41312111331320313112120000
51021210012043144403111
65042544435143312240
7214426241023450200
oct16625757067263000
92466768355347446
10520479049606656
11140927a1a707738
124a4603b074b680
1319455c6b55ba2a
14927546b2dc400
154028cc3eb8406
hex1d95f78dd6600

520479049606656 has 960 divisors, whose sum is σ = 1750384188241920. Its totient is φ = 136567548149760.

The previous prime is 520479049606609. The next prime is 520479049606709. The reversal of 520479049606656 is 656606940974025.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9204984721 + ... + 9205041263.

It is an arithmetic number, because the mean of its divisors is an integer number (1823316862752).

Almost surely, 2520479049606656 is an apocalyptic number.

520479049606656 is a gapful number since it is divisible by the number (56) 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 520479049606656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875192094120960).

520479049606656 is an abundant number, since it is smaller than the sum of its proper divisors (1229905138635264).

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

520479049606656 is a wasteful number, since it uses less digits than its factorization.

520479049606656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56795 (or 56772 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 69.

The spelling of 520479049606656 in words is "five hundred twenty trillion, four hundred seventy-nine billion, forty-nine million, six hundred six thousand, six hundred fifty-six".