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10610388852 = 22372411034273
BaseRepresentation
bin10011110000110110…
…11010111101110100
31000101110022121012220
421320123122331310
5133212224420402
64512505242340
7523635550200
oct117033327564
930343277186
1010610388852
114555319208
1220814933b0
1310012b28cb
14729251b00
1542177ddbc
hex2786daf74

10610388852 has 144 divisors (see below), whose sum is σ = 29795455872. Its totient is φ = 2928199680.

The previous prime is 10610388809. The next prime is 10610388883. The reversal of 10610388852 is 25888301601.

It is a super-2 number, since 2×106103888522 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2480988 + ... + 2485260.

It is an arithmetic number, because the mean of its divisors is an integer number (206912888).

Almost surely, 210610388852 is an apocalyptic number.

10610388852 is a gapful number since it is divisible by the number (12) 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 10610388852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14897727936).

10610388852 is an abundant number, since it is smaller than the sum of its proper divisors (19185067020).

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

10610388852 is a wasteful number, since it uses less digits than its factorization.

10610388852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4438 (or 4429 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The spelling of 10610388852 in words is "ten billion, six hundred ten million, three hundred eighty-eight thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 49 82 84 98 103 123 147 164 196 206 246 287 294 309 412 492 574 588 618 721 861 1148 1236 1442 1722 2009 2163 2884 3444 4018 4223 4273 4326 5047 6027 8036 8446 8546 8652 10094 12054 12669 12819 15141 16892 17092 20188 24108 25338 25638 29561 29911 30282 50676 51276 59122 59822 60564 88683 89733 118244 119644 175193 177366 179466 206927 209377 350386 354732 358932 413854 418754 440119 525579 620781 628131 700772 827708 837508 880238 1051158 1226351 1241562 1256262 1320357 1760476 2102316 2452702 2483124 2512524 2640714 3080833 3679053 4905404 5281428 6161666 7358106 8584457 9242499 12323332 14716212 17168914 18044879 18484998 21565831 25753371 34337828 36089758 36969996 43131662 51506742 54134637 64697493 72179516 86263324 103013484 108269274 126314153 129394986 216538548 252628306 258789972 378942459 505256612 757884918 884199071 1515769836 1768398142 2652597213 3536796284 5305194426 10610388852