Search a number
-
+
5191072992 = 2532719592297
BaseRepresentation
bin1001101010110100…
…10111110011100000
3111101202220211102200
410311122113303200
541112403313432
62215034413200
7242432251410
oct46532276340
914352824380
105191072992
112224252a76
12100a591200
1364960b831
143735dc640
15205aeaa7c
hex135697ce0

5191072992 has 288 divisors, whose sum is σ = 18067795200. Its totient is φ = 1380685824.

The previous prime is 5191072979. The next prime is 5191073077. The reversal of 5191072992 is 2992701915.

5191072992 is a `hidden beast` number, since 519 + 107 + 29 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2258788 + ... + 2261084.

It is an arithmetic number, because the mean of its divisors is an integer number (62735400).

Almost surely, 25191072992 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 5191072992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9033897600).

5191072992 is an abundant number, since it is smaller than the sum of its proper divisors (12876722208).

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

5191072992 is a wasteful number, since it uses less digits than its factorization.

5191072992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The square root of 5191072992 is about 72049.1012574064. The cubic root of 5191072992 is about 1731.4862423782.

The spelling of 5191072992 in words is "five billion, one hundred ninety-one million, seventy-two thousand, nine hundred ninety-two".