Search a number
-
+
5010626718720 = 21036571729389
BaseRepresentation
bin100100011101010000010…
…1000000010110000000000
3122202000022012011101000000
41020322200220002300000
51124043230414444340
614353503344000000
71025002000244310
oct110724050026000
918660265141000
105010626718720
111661aa4179627
1268b114900000
132a46668738cc
14134730c49440
158a510628d30
hex48ea0a02c00

5010626718720 has 2464 divisors, whose sum is σ = 22617135964800. Its totient is φ = 1038071365632.

The previous prime is 5010626718719. The next prime is 5010626718763. The reversal of 5010626718720 is 278176260105.

5010626718720 is a `hidden beast` number, since 5 + 0 + 1 + 0 + 626 + 7 + 18 + 7 + 2 + 0 = 666.

It is a super-2 number, since 2×50106267187202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 12880788286 + ... + 12880788674.

Almost surely, 25010626718720 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 5010626718720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11308567982400).

5010626718720 is an abundant number, since it is smaller than the sum of its proper divisors (17606509246080).

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

5010626718720 is a wasteful number, since it uses less digits than its factorization.

5010626718720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 5010626718720 in words is "five trillion, ten billion, six hundred twenty-six million, seven hundred eighteen thousand, seven hundred twenty".