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5004665352 = 2334103167449
BaseRepresentation
bin1001010100100110…
…10010001000001000
3110220210011100020000
410222103102020020
540222143242402
62144335203000
7235006645041
oct45223221010
913823140200
105004665352
112139004175
12b78076460
13619b0325b
143569578c8
151e4578c1c
hex12a4d2208

5004665352 has 160 divisors (see below), whose sum is σ = 14270256000. Its totient is φ = 1638475776.

The previous prime is 5004665339. The next prime is 5004665353. The reversal of 5004665352 is 2535664005.

It is a happy number.

5004665352 is a `hidden beast` number, since 500 + 46 + 65 + 3 + 52 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5004665353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11146024 + ... + 11146472.

It is an arithmetic number, because the mean of its divisors is an integer number (89189100).

Almost surely, 25004665352 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 5004665352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7135128000).

5004665352 is an abundant number, since it is smaller than the sum of its proper divisors (9265590648).

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

5004665352 is a wasteful number, since it uses less digits than its factorization.

5004665352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 5004665352 is about 70743.6594473314. The cubic root of 5004665352 is about 1710.5076239937.

The spelling of 5004665352 in words is "five billion, four million, six hundred sixty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 103 108 162 167 206 216 309 324 334 412 449 501 618 648 668 824 898 927 1002 1236 1336 1347 1503 1796 1854 2004 2472 2694 2781 3006 3592 3708 4008 4041 4509 5388 5562 6012 7416 8082 8343 9018 10776 11124 12024 12123 13527 16164 16686 17201 18036 22248 24246 27054 32328 33372 34402 36072 36369 46247 48492 51603 54108 66744 68804 72738 74983 92494 96984 103206 108216 137608 138741 145476 149966 154809 184988 206412 224949 277482 290952 299932 309618 369976 412824 416223 449898 464427 554964 599864 619236 674847 832446 899796 928854 1109928 1238472 1248669 1349694 1393281 1664892 1799592 1857708 2024541 2497338 2699388 2786562 3329784 3715416 3746007 4049082 4994676 5398776 5573124 6073623 7492014 7723249 8098164 9989352 11146248 12147246 14984028 15446498 16196328 23169747 24294492 29968056 30892996 46339494 48588984 61785992 69509241 92678988 139018482 185357976 208527723 278036964 417055446 556073928 625583169 834110892 1251166338 1668221784 2502332676 5004665352