Search a number
-
+
5394717648320 = 2657111347536761
BaseRepresentation
bin100111010000000111000…
…1110101010010111000000
3201002201201011000020011012
41032200032032222113000
51201341340204221240
615250144333340052
71064520063262010
oct116401616522700
921081634006135
105394717648320
11179a983521960
12731648037628
13301948214b10
1414916a189c40
15954e04ddb65
hex4e80e3aa5c0

5394717648320 has 896 divisors, whose sum is σ = 17949997965312. Its totient is φ = 1490219827200.

The previous prime is 5394717648319. The next prime is 5394717648347. The reversal of 5394717648320 is 238467174935.

It is a hoax number, since the sum of its digits (59) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5394717648320.

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, 797913740 + ... + 797920500.

It is an arithmetic number, because the mean of its divisors is an integer number (20033479872).

It is a 2-persistent number, because it is pandigital, and so is 2⋅5394717648320 = 10789435296640, but 3⋅5394717648320 = 16184152944960 is not.

Almost surely, 25394717648320 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 5394717648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8974998982656).

5394717648320 is an abundant number, since it is smaller than the sum of its proper divisors (12555280316992).

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

5394717648320 is a wasteful number, since it uses less digits than its factorization.

5394717648320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6909 (or 6899 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 59.

The spelling of 5394717648320 in words is "five trillion, three hundred ninety-four billion, seven hundred seventeen million, six hundred forty-eight thousand, three hundred twenty".