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5653328772 = 2237138958169
BaseRepresentation
bin1010100001111011…
…01111001110000100
3112120222201212011010
411100331233032010
543034223010042
62332550242220
7260044334040
oct52075571604
915528655133
105653328772
11244117a643
121119356370
136c1309a70
143b8b6b020
152314aa59c
hex150f6f384

5653328772 has 96 divisors (see below), whose sum is σ = 16417900800. Its totient is φ = 1474209792.

The previous prime is 5653328749. The next prime is 5653328797. The reversal of 5653328772 is 2778233565.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68104 + ... + 126272.

It is an arithmetic number, because the mean of its divisors is an integer number (171019800).

Almost surely, 25653328772 is an apocalyptic number.

5653328772 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5653328772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8208950400).

5653328772 is an abundant number, since it is smaller than the sum of its proper divisors (10764572028).

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

5653328772 is a wasteful number, since it uses less digits than its factorization.

5653328772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58285 (or 58283 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 48.

The square root of 5653328772 is about 75188.6212933845. The cubic root of 5653328772 is about 1781.4272074164.

The spelling of 5653328772 in words is "five billion, six hundred fifty-three million, three hundred twenty-eight thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 89 91 156 178 182 267 273 356 364 534 546 623 1068 1092 1157 1246 1869 2314 2492 3471 3738 4628 6942 7476 8099 13884 16198 24297 32396 48594 58169 97188 116338 174507 232676 349014 407183 698028 756197 814366 1221549 1512394 1628732 2268591 2443098 3024788 4537182 4886196 5177041 5293379 9074364 10354082 10586758 15531123 15880137 20708164 21173516 31062246 31760274 36239287 62124492 63520548 67301533 72478574 108717861 134603066 144957148 201904599 217435722 269206132 403809198 434871444 471110731 807618396 942221462 1413332193 1884442924 2826664386 5653328772