Search a number
-
+
5036116405320 = 233257111323607619
BaseRepresentation
bin100100101001000111111…
…1011011110110001001000
3122211110002121111121112200
41021102033323132301020
51130002431244432240
614413320540240200
71026563442066360
oct111221773366110
918743077447480
105036116405320
111671894468420
12694049240060
132a6b99690ac0
14135a6c2619a0
158b0032c8930
hex4948fedec48

5036116405320 has 768 divisors, whose sum is σ = 22931287142400. Its totient is φ = 923968235520.

The previous prime is 5036116405291. The next prime is 5036116405349. The reversal of 5036116405320 is 235046116305.

5036116405320 is a `hidden beast` number, since 5 + 0 + 3 + 6 + 1 + 1 + 640 + 5 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5036116405291) and next prime (5036116405349).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7984471 + ... + 8592089.

It is an arithmetic number, because the mean of its divisors is an integer number (29858446800).

Almost surely, 25036116405320 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 5036116405320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11465643571200).

5036116405320 is an abundant number, since it is smaller than the sum of its proper divisors (17895170737080).

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

5036116405320 is a wasteful number, since it uses less digits than its factorization.

5036116405320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607690 (or 607683 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 5036116405320 in words is "five trillion, thirty-six billion, one hundred sixteen million, four hundred five thousand, three hundred twenty".