Search a number
-
+
5317727415000 = 23354711131783251
BaseRepresentation
bin100110101100010000101…
…0000001110101011011000
3200211100222120022010212020
41031120201100032223120
51144111201204240000
615150532533414440
71056123146141250
oct115304120165330
920740876263766
105317727415000
111770265547060
1271a74019a420
132c75c8803b40
1414554503a960
15934d6392ba0
hex4d62140ead8

5317727415000 has 2560 divisors, whose sum is σ = 23996830556160. Its totient is φ = 944640000000.

The previous prime is 5317727414977. The next prime is 5317727415061. The reversal of 5317727415000 is 5147277135.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 21186164875 + ... + 21186165125.

It is an arithmetic number, because the mean of its divisors is an integer number (9373761936).

Almost surely, 25317727415000 is an apocalyptic number.

5317727415000 is a gapful number since it is divisible by the number (50) 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 5317727415000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11998415278080).

5317727415000 is an abundant number, since it is smaller than the sum of its proper divisors (18679103141160).

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

5317727415000 is a wasteful number, since it uses less digits than its factorization.

5317727415000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 205800, while the sum is 42.

The spelling of 5317727415000 in words is "five trillion, three hundred seventeen billion, seven hundred twenty-seven million, four hundred fifteen thousand".