Search a number
-
+
5107608794496 = 2731331414397193
BaseRepresentation
bin100101001010011010100…
…1101010011010110000000
3200002021122001001021111110
41022110311031103112000
51132140340322410441
614510223022243320
71035004210265025
oct112246515232600
920067561037443
105107608794496
11169a14101157a
126a5a7ba26540
132b0851064470
141392d115954c
158ccd992db16
hex4a535353580

5107608794496 has 1024 divisors, whose sum is σ = 16054913064960. Its totient is φ = 1426902220800.

The previous prime is 5107608794471. The next prime is 5107608794503. The reversal of 5107608794496 is 6944978067015.

It is a super-2 number, since 2×51076087944962 (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26464294176 + ... + 26464294368.

It is an arithmetic number, because the mean of its divisors is an integer number (15678626040).

Almost surely, 25107608794496 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 5107608794496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8027456532480).

5107608794496 is an abundant number, since it is smaller than the sum of its proper divisors (10947304270464).

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

5107608794496 is a wasteful number, since it uses less digits than its factorization.

5107608794496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 66.

The spelling of 5107608794496 in words is "five trillion, one hundred seven billion, six hundred eight million, seven hundred ninety-four thousand, four hundred ninety-six".