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5013750564 = 2232378942293
BaseRepresentation
bin1001010101101011…
…11100001100100100
3110221102020220210100
410222311330030210
540232010004224
62145302024100
7235150114404
oct45265741444
913842226710
105013750564
11214314a009
12b7b118030
1361b964614
14357c40804
151e5270ac9
hex12ad7c324

5013750564 has 72 divisors (see below), whose sum is σ = 13162738680. Its totient is φ = 1607772672.

The previous prime is 5013750529. The next prime is 5013750607. The reversal of 5013750564 is 4650573105.

It can be written as a sum of positive squares in 4 ways, for example, as 503553600 + 4510196964 = 22440^2 + 67158^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97402 + ... + 139694.

It is an arithmetic number, because the mean of its divisors is an integer number (182815815).

Almost surely, 25013750564 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 5013750564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6581369340).

5013750564 is an abundant number, since it is smaller than the sum of its proper divisors (8148988116).

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

5013750564 is a wasteful number, since it uses less digits than its factorization.

5013750564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42429 (or 42424 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 5013750564 is about 70807.8425317422. The cubic root of 5013750564 is about 1711.5420541417.

The spelling of 5013750564 in words is "five billion, thirteen million, seven hundred fifty thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 89 111 148 178 222 267 333 356 444 534 666 801 1068 1332 1602 3204 3293 6586 9879 13172 19758 29637 39516 42293 59274 84586 118548 126879 169172 253758 380637 507516 761274 1522548 1564841 3129682 3764077 4694523 6259364 7528154 9389046 11292231 14083569 15056308 18778092 22584462 28167138 33876693 45168924 56334276 67753386 135506772 139270849 278541698 417812547 557083396 835625094 1253437641 1671250188 2506875282 5013750564