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5013106152 = 2334330715823
BaseRepresentation
bin1001010101100110…
…11110110111101000
3110221101001011211020
410222303132313220
540231323344102
62145240132440
7235141461555
oct45263366750
913841034736
105013106152
11214284993a
12b7aa67120
1361b79a202
14357b13a2c
151e5194bbc
hex12acdede8

5013106152 has 64 divisors (see below), whose sum is σ = 12866810880. Its totient is φ = 1626754752.

The previous prime is 5013106117. The next prime is 5013106169. The reversal of 5013106152 is 2516013105.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 308913 + ... + 324735.

It is an arithmetic number, because the mean of its divisors is an integer number (201043920).

Almost surely, 25013106152 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 5013106152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6433405440).

5013106152 is an abundant number, since it is smaller than the sum of its proper divisors (7853704728).

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

5013106152 is a wasteful number, since it uses less digits than its factorization.

5013106152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16182 (or 16178 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 5013106152 is about 70803.2919573659. The cubic root of 5013106152 is about 1711.4687234431.

Adding to 5013106152 its reverse (2516013105), we get a palindrome (7529119257).

The spelling of 5013106152 in words is "five billion, thirteen million, one hundred six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 307 344 516 614 921 1032 1228 1842 2456 3684 7368 13201 15823 26402 31646 39603 47469 52804 63292 79206 94938 105608 126584 158412 189876 316824 379752 680389 1360778 2041167 2721556 4082334 4857661 5443112 8164668 9715322 14572983 16329336 19430644 29145966 38861288 58291932 116583864 208879423 417758846 626638269 835517692 1253276538 1671035384 2506553076 5013106152