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10552382478 = 232111312571583
BaseRepresentation
bin10011101001111100…
…01001010000001110
31000020102011120102200
421310332021100032
5133102402214403
64503034102330
7522332525331
oct116476112016
930212146380
1010552382478
1145255aa160
122065b7a9a6
13cc2283201
14721672618
1541b621ca3
hex274f8940e

10552382478 has 96 divisors (see below), whose sum is σ = 25246121472. Its totient is φ = 3158937600.

The previous prime is 10552382471. The next prime is 10552382531. The reversal of 10552382478 is 87428325501.

10552382478 is a `hidden beast` number, since 1 + 0 + 5 + 523 + 82 + 47 + 8 = 666.

10552382478 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105523824782 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10552382471) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6665275 + ... + 6666857.

It is an arithmetic number, because the mean of its divisors is an integer number (262980432).

Almost surely, 210552382478 is an apocalyptic number.

10552382478 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10552382478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12623060736).

10552382478 is an abundant number, since it is smaller than the sum of its proper divisors (14693738994).

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

10552382478 is a wasteful number, since it uses less digits than its factorization.

10552382478 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1990 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 10552382478 in words is "ten billion, five hundred fifty-two million, three hundred eighty-two thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 131 198 257 262 393 514 771 786 1179 1441 1542 1583 2313 2358 2827 2882 3166 4323 4626 4749 5654 8481 8646 9498 12969 14247 16962 17413 25443 25938 28494 33667 34826 50886 52239 67334 101001 104478 156717 202002 207373 303003 313434 370337 406831 414746 606006 622119 740674 813662 1111011 1220493 1244238 1866357 2222022 2281103 2440986 3333033 3661479 3732714 4475141 4562206 6666066 6843309 7322958 8950282 13425423 13686618 20529927 26850846 40276269 41059854 53294861 80552538 106589722 159884583 319769166 479653749 586243471 959307498 1172486942 1758730413 3517460826 5276191239 10552382478