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5360787828 = 22321165320731
BaseRepresentation
bin1001111111000011…
…10010000101110100
3111211121021020102100
410333201302011310
541434330202303
62243540142100
7246562642014
oct47741620564
914747236370
105360787828
112301030270
121057397930
13675821106
1438bd79c44
152159718a3
hex13f872174

5360787828 has 72 divisors (see below), whose sum is σ = 14806130976. Its totient is φ = 1621915200.

The previous prime is 5360787823. The next prime is 5360787829. The reversal of 5360787828 is 8287870635.

5360787828 is a `hidden beast` number, since 5 + 3 + 607 + 8 + 7 + 8 + 28 = 666.

It is a super-2 number, since 2×53607878282 = 57476092273665915168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5360787821) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 248223 + ... + 268953.

It is an arithmetic number, because the mean of its divisors is an integer number (205640708).

Almost surely, 25360787828 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 5360787828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7403065488).

5360787828 is an abundant number, since it is smaller than the sum of its proper divisors (9445343148).

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

5360787828 is a wasteful number, since it uses less digits than its factorization.

5360787828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21405 (or 21400 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The square root of 5360787828 is about 73217.4011284203. The cubic root of 5360787828 is about 1750.1537636864.

The spelling of 5360787828 in words is "five billion, three hundred sixty million, seven hundred eighty-seven thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 653 1306 1959 2612 3918 5877 7183 7836 11754 14366 20731 21549 23508 28732 41462 43098 62193 64647 82924 86196 124386 129294 186579 228041 248772 258588 373158 456082 684123 746316 912164 1368246 2052369 2736492 4104738 8209476 13537343 27074686 40612029 54149372 81224058 121836087 148910773 162448116 243672174 297821546 446732319 487344348 595643092 893464638 1340196957 1786929276 2680393914 5360787828