Search a number
-
+
5148165144 = 2332952314143
BaseRepresentation
bin1001100101101101…
…01100010000011000
3111021210011212221010
410302312230100120
541020412241034
62210503013520
7241401452553
oct46266542030
914253155833
105148165144
112202006741
12bb813a2a0
13640767585
1436ba2d69a
15201e723e9
hex132dac418

5148165144 has 64 divisors (see below), whose sum is σ = 13340620800. Its totient is φ = 1653595776.

The previous prime is 5148165109. The next prime is 5148165149. The reversal of 5148165144 is 4415618415.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5148165149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 356937 + ... + 371079.

It is an arithmetic number, because the mean of its divisors is an integer number (208447200).

Almost surely, 25148165144 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 5148165144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6670310400).

5148165144 is an abundant number, since it is smaller than the sum of its proper divisors (8192455656).

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

5148165144 is a wasteful number, since it uses less digits than its factorization.

5148165144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14704 (or 14700 counting only the distinct ones).

The product of its digits is 76800, while the sum is 39.

The square root of 5148165144 is about 71750.7152856332. The cubic root of 5148165144 is about 1726.7023892737.

The spelling of 5148165144 in words is "five billion, one hundred forty-eight million, one hundred sixty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 523 696 1046 1569 2092 3138 4184 6276 12552 14143 15167 28286 30334 42429 45501 56572 60668 84858 91002 113144 121336 169716 182004 339432 364008 410147 820294 1230441 1640588 2460882 3281176 4921764 7396789 9843528 14793578 22190367 29587156 44380734 59174312 88761468 177522936 214506881 429013762 643520643 858027524 1287041286 1716055048 2574082572 5148165144