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42522013002 = 2372381154277
BaseRepresentation
bin100111100110100000…
…100110110101001010
311001202102200001221110
4213212200212311022
51144041113404002
631311230151150
73033510101250
oct474640466512
9131672601843
1042522013002
1117040627807
1282a86524b6
13401871b451
1420b550c5d0
15118d10ee6c
hex9e6826d4a

42522013002 has 64 divisors (see below), whose sum is σ = 101545887744. Its totient is φ = 11606379840.

The previous prime is 42522012997. The next prime is 42522013031. The reversal of 42522013002 is 20031022524.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 42522013002.

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, 756288 + ... + 810564.

It is an arithmetic number, because the mean of its divisors is an integer number (1586654496).

Almost surely, 242522013002 is an apocalyptic number.

42522013002 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42522013002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50772943872).

42522013002 is an abundant number, since it is smaller than the sum of its proper divisors (59023874742).

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

42522013002 is a wasteful number, since it uses less digits than its factorization.

42522013002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55123.

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 42522013002 its reverse (20031022524), we get a palindrome (62553035526).

The spelling of 42522013002 in words is "forty-two billion, five hundred twenty-two million, thirteen thousand, two".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 322 483 811 966 1622 2433 4866 5677 11354 17031 18653 34062 37306 54277 55959 108554 111918 130571 162831 261142 325662 379939 391713 759878 783426 1139817 1248371 2279634 2496742 3745113 7490226 8738597 17477194 26215791 44018647 52431582 88037294 132055941 264111882 308130529 616261058 924391587 1012428881 1848783174 2024857762 3037286643 6074573286 7087002167 14174004334 21261006501 42522013002