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5009653779696 = 2432431794879281
BaseRepresentation
bin100100011100110011010…
…1000100100110011110000
3122201220210101101221120100
41020321212220210303300
51124034232331422241
614353223030312400
71024635614351346
oct110714650446360
918656711357510
105009653779696
111661644a59095
1268aaa2ab8700
132a454011ca47
1413467b943996
158a4a4ee09b6
hex48e66a24cf0

5009653779696 has 240 divisors, whose sum is σ = 14457447164160. Its totient is φ = 1618433187840.

The previous prime is 5009653779679. The next prime is 5009653779709. The reversal of 5009653779696 is 6969773569005.

5009653779696 is a `hidden beast` number, since 500 + 9 + 6 + 53 + 7 + 7 + 9 + 69 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 539770576 + ... + 539779856.

It is an arithmetic number, because the mean of its divisors is an integer number (60239363184).

Almost surely, 25009653779696 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 5009653779696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7228723582080).

5009653779696 is an abundant number, since it is smaller than the sum of its proper divisors (9447793384464).

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

5009653779696 is a wasteful number, since it uses less digits than its factorization.

5009653779696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10004 (or 9995 counting only the distinct ones).

The product of its (nonzero) digits is 578680200, while the sum is 72.

The spelling of 5009653779696 in words is "five trillion, nine billion, six hundred fifty-three million, seven hundred seventy-nine thousand, six hundred ninety-six".