Search a number
-
+
5112758124 = 2233372415309
BaseRepresentation
bin1001100001011111…
…00111111101101100
3111012022120000122000
410300233213331230
540432331224444
62203200052300
7240461504235
oct46057477554
914168500560
105112758124
112194022941
12ba8304090
1363631b486
1436705408c
151edccb469
hex130be7f6c

5112758124 has 96 divisors (see below), whose sum is σ = 13672612800. Its totient is φ = 1651000320.

The previous prime is 5112758117. The next prime is 5112758201. The reversal of 5112758124 is 4218572115.

It is a happy number.

5112758124 is a `hidden beast` number, since 51 + 1 + 2 + 7 + 581 + 24 = 666.

It is a super-2 number, since 2×51127581242 = 52280591269055998752, which contains 22 as substring.

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

Its product of digits (22400) is a multiple of the sum of its prime factors (5600).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 960382 + ... + 965690.

It is an arithmetic number, because the mean of its divisors is an integer number (142423050).

Almost surely, 25112758124 is an apocalyptic number.

5112758124 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 5112758124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6836306400).

5112758124 is an abundant number, since it is smaller than the sum of its proper divisors (8559854676).

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

5112758124 is a wasteful number, since it uses less digits than its factorization.

5112758124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5600 (or 5592 counting only the distinct ones).

The product of its digits is 22400, while the sum is 36.

The square root of 5112758124 is about 71503.5532263957. The cubic root of 5112758124 is about 1722.7347566763.

The spelling of 5112758124 in words is "five billion, one hundred twelve million, seven hundred fifty-eight thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 241 333 444 482 666 723 964 999 1332 1446 1998 2169 2892 3996 4338 5309 6507 8676 8917 10618 13014 15927 17834 21236 26028 26751 31854 35668 47781 53502 63708 80253 95562 107004 143343 160506 191124 196433 240759 286686 321012 392866 481518 573372 589299 785732 963036 1178598 1279469 1767897 2357196 2558938 3535794 3838407 5117876 5303691 7071588 7676814 10607382 11515221 15353628 21214764 23030442 34545663 46060884 47340353 69091326 94680706 138182652 142021059 189361412 284042118 426063177 568084236 852126354 1278189531 1704252708 2556379062 5112758124