Search a number
-
+
5363021664 = 253571113253
BaseRepresentation
bin1001111111010100…
…10011011101100000
3111211202110201200000
410333222103131200
541440413143124
62244100100000
7246620634450
oct47752233540
914752421600
105363021664
112302316610
121058094600
13676123b00
1438c39bd60
15215c636c9
hex13fa93760

5363021664 has 864 divisors, whose sum is σ = 21754946304. Its totient is φ = 1261578240.

The previous prime is 5363021663. The next prime is 5363021689. The reversal of 5363021664 is 4661203635.

5363021664 is a `hidden beast` number, since 5 + 3 + 630 + 2 + 16 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 (5363021663) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 101189062 + ... + 101189114.

It is an arithmetic number, because the mean of its divisors is an integer number (25179336).

Almost surely, 25363021664 is an apocalyptic number.

5363021664 is a gapful number since it is divisible by the number (54) 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 5363021664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10877473152).

5363021664 is an abundant number, since it is smaller than the sum of its proper divisors (16391924640).

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

5363021664 is a wasteful number, since it uses less digits than its factorization.

5363021664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 5363021664 is about 73232.6543558268. The cubic root of 5363021664 is about 1750.3968258194.

The spelling of 5363021664 in words is "five billion, three hundred sixty-three million, twenty-one thousand, six hundred sixty-four".