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16553145364 = 2272949940853
BaseRepresentation
bin11110110101010010…
…01111010000010100
31120201121122220120221
433122221033100110
5232400101122424
611334315204124
71124126262010
oct173251172024
946647586527
1016553145364
117024901128
12325b746644
13173a558292
14b305dd540
1566d35a9e4
hex3daa4f414

16553145364 has 48 divisors (see below), whose sum is σ = 34317360000. Its totient is φ = 6835683456.

The previous prime is 16553145353. The next prime is 16553145391. The reversal of 16553145364 is 46354135561.

16553145364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 16553145364.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 384762 + ... + 425614.

It is an arithmetic number, because the mean of its divisors is an integer number (714945000).

Almost surely, 216553145364 is an apocalyptic number.

16553145364 is a gapful number since it is divisible by the number (14) 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 16553145364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17158680000).

16553145364 is an abundant number, since it is smaller than the sum of its proper divisors (17764214636).

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

16553145364 is a wasteful number, since it uses less digits than its factorization.

16553145364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41392 (or 41390 counting only the distinct ones).

The product of its digits is 648000, while the sum is 43.

The spelling of 16553145364 in words is "sixteen billion, five hundred fifty-three million, one hundred forty-five thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 28 29 58 116 203 406 499 812 998 1996 3493 6986 13972 14471 28942 40853 57884 81706 101297 163412 202594 285971 405188 571942 1143884 1184737 2369474 4738948 8293159 16586318 20385647 33172636 40771294 81542588 142699529 285399058 570798116 591183763 1182367526 2364735052 4138286341 8276572682 16553145364