Search a number
-
+
5299713792 = 28334118701
BaseRepresentation
bin1001110111110001…
…10011011100000000
3111200100100100121000
410323320303130000
541323211320132
62233515132000
7245221552422
oct47370633400
914610310530
105299713792
11227a60645a
12103aa44000
13665c89329
14383bdc812
1521040a87c
hex13be33700

5299713792 has 144 divisors (see below), whose sum is σ = 16055292960. Its totient is φ = 1723392000.

The previous prime is 5299713781. The next prime is 5299713803. The reversal of 5299713792 is 2973179925.

It is an interprime number because it is at equal distance from previous prime (5299713781) and next prime (5299713803).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274042 + ... + 292742.

It is an arithmetic number, because the mean of its divisors is an integer number (111495090).

Almost surely, 25299713792 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 5299713792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8027646480).

5299713792 is an abundant number, since it is smaller than the sum of its proper divisors (10755579168).

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

5299713792 is a wasteful number, since it uses less digits than its factorization.

5299713792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18767 (or 18747 counting only the distinct ones).

The product of its digits is 2143260, while the sum is 54.

The square root of 5299713792 is about 72799.1331816527. The cubic root of 5299713792 is about 1743.4820165817.

The spelling of 5299713792 in words is "five billion, two hundred ninety-nine million, seven hundred thirteen thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 82 96 108 123 128 144 164 192 216 246 256 288 328 369 384 432 492 576 656 738 768 864 984 1107 1152 1312 1476 1728 1968 2214 2304 2624 2952 3456 3936 4428 5248 5904 6912 7872 8856 10496 11808 15744 17712 18701 23616 31488 35424 37402 47232 56103 70848 74804 94464 112206 141696 149608 168309 224412 283392 299216 336618 448824 504927 598432 673236 766741 897648 1009854 1196864 1346472 1533482 1795296 2019708 2300223 2393728 2692944 3066964 3590592 4039416 4600446 4787456 5385888 6133928 6900669 7181184 8078832 9200892 10771776 12267856 13801338 14362368 16157664 18401784 20702007 21543552 24535712 27602676 32315328 36803568 41404014 43087104 49071424 55205352 64630656 73607136 82808028 98142848 110410704 129261312 147214272 165616056 196285696 220821408 294428544 331232112 441642816 588857088 662464224 883285632 1324928448 1766571264 2649856896 5299713792