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5684765192 = 23192232612
BaseRepresentation
bin1010100101101011…
…01010001000001000
3112200011212222210222
411102311222020020
543120244441232
62340032125212
7260605464311
oct52265521010
915604788728
105684765192
1124579a1257
121127996808
136c79957b2
143bcdd1608
15234119d12
hex152d6a208

5684765192 has 108 divisors (see below), whose sum is σ = 11955774285. Its totient is φ = 2533481280.

The previous prime is 5684765189. The next prime is 5684765209. The reversal of 5684765192 is 2915674865.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 3850698916 + 1834066276 = 62054^2 + 42826^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=53314.

It is a Duffinian number.

Its product of digits (3628800) is a multiple of the sum of its prime divisors (105).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 93192842 + ... + 93192902.

Almost surely, 25684765192 is an apocalyptic number.

It is an amenable number.

5684765192 is an abundant number, since it is smaller than the sum of its proper divisors (6271009093).

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

5684765192 is a wasteful number, since it uses less digits than its factorization.

5684765192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 105 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 53.

The square root of 5684765192 is about 75397.3818643592. The cubic root of 5684765192 is about 1784.7230951381.

The spelling of 5684765192 in words is "five billion, six hundred eighty-four million, seven hundred sixty-five thousand, one hundred ninety-two".

Divisors: 1 2 4 8 19 23 38 46 61 76 92 122 152 184 244 361 437 488 529 722 874 1058 1159 1403 1444 1748 2116 2318 2806 2888 3496 3721 4232 4636 5612 7442 8303 9272 10051 11224 14884 16606 20102 22021 26657 29768 32269 33212 40204 44042 53314 64538 66424 70699 80408 85583 88084 106628 129076 141398 171166 176168 190969 213256 258152 282796 342332 381938 506483 565592 613111 684664 763876 1012966 1226222 1343281 1527752 1626077 1968409 2025932 2452444 2686562 3252154 3936818 4051864 4904888 5373124 6504308 7873636 10746248 11649109 13008616 15747272 23298218 30895463 37399771 46596436 61790926 74799542 93192872 123581852 149599084 247163704 299198168 710595649 1421191298 2842382596 5684765192