Search a number
-
+
5060151129600 = 293752731731
BaseRepresentation
bin100100110100010100010…
…0000101011011000000000
3122220202010122002010000000
41021220220200223120000
51130401142142121400
614432333520000000
71031404155633000
oct111505040533000
918822118063000
105060151129600
111680aa8438516
12698836460000
132a9229c27548
14136cac33a000
158b95d378600
hex49a2882b600

5060151129600 has 3840 divisors, whose sum is σ = 23965894656000. Its totient is φ = 1053455155200.

The previous prime is 5060151129557. The next prime is 5060151129601. The reversal of 5060151129600 is 69211510605.

5060151129600 is a `hidden beast` number, since 5 + 0 + 6 + 0 + 15 + 11 + 29 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5060151129601) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 163230681585 + ... + 163230681615.

It is an arithmetic number, because the mean of its divisors is an integer number (6241118400).

Almost surely, 25060151129600 is an apocalyptic number.

5060151129600 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 5060151129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11982947328000).

5060151129600 is an abundant number, since it is smaller than the sum of its proper divisors (18905743526400).

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

5060151129600 is an frugal number, since it uses more digits than its factorization.

5060151129600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The spelling of 5060151129600 in words is "five trillion, sixty billion, one hundred fifty-one million, one hundred twenty-nine thousand, six hundred".