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5206146204 = 2237107599967
BaseRepresentation
bin1001101100100111…
…10111110010011100
3111102211021121222210
410312103313302130
541130233134304
62220333440420
7243004340550
oct46623676234
914384247883
105206146204
112231808776
121013640110
1364c7885ac
14375603860
152070c6c89
hex1364f7c9c

5206146204 has 96 divisors (see below), whose sum is σ = 14050713600. Its totient is φ = 1469587392.

The previous prime is 5206146191. The next prime is 5206146223. The reversal of 5206146204 is 4026416025.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 5383329 + ... + 5384295.

It is an arithmetic number, because the mean of its divisors is an integer number (146361600).

Almost surely, 25206146204 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 5206146204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7025356800).

5206146204 is an abundant number, since it is smaller than the sum of its proper divisors (8844567396).

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

5206146204 is a wasteful number, since it uses less digits than its factorization.

5206146204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 5206146204 is about 72153.6291810745. The cubic root of 5206146204 is about 1733.1605165804.

The spelling of 5206146204 in words is "five billion, two hundred six million, one hundred forty-six thousand, two hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 107 214 321 428 599 642 749 967 1198 1284 1498 1797 1934 2247 2396 2901 2996 3594 3868 4193 4494 5802 6769 7188 8386 8988 11604 12579 13538 16772 20307 25158 27076 40614 50316 64093 81228 103469 128186 192279 206938 256372 310407 384558 413876 448651 579233 620814 724283 769116 897302 1158466 1241628 1345953 1448566 1737699 1794604 2172849 2316932 2691906 2897132 3475398 4054631 4345698 5383812 6950796 8109262 8691396 12163893 16218524 24327786 48655572 61977931 123955862 185933793 247911724 371867586 433845517 743735172 867691034 1301536551 1735382068 2603073102 5206146204