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13083505640 = 23519104916411
BaseRepresentation
bin11000010111101011…
…00111001111101000
31020202210220221122222
430023311213033220
5203243334140030
610002132533212
7642135651212
oct141365471750
936683827588
1013083505640
115604330487
122651781208
13130678b91a
148c18a55b2
155189493e5
hex30bd673e8

13083505640 has 64 divisors (see below), whose sum is σ = 31018680000. Its totient is φ = 4952931840.

The previous prime is 13083505637. The next prime is 13083505649. The reversal of 13083505640 is 4650538031.

It is a self number, because there is not a number n which added to its sum of digits gives 13083505640.

It is not an unprimeable number, because it can be changed into a prime (13083505649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 789035 + ... + 805445.

It is an arithmetic number, because the mean of its divisors is an integer number (484666875).

Almost surely, 213083505640 is an apocalyptic number.

13083505640 is a gapful number since it is divisible by the number (10) 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 13083505640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15509340000).

13083505640 is an abundant number, since it is smaller than the sum of its proper divisors (17935174360).

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

13083505640 is a wasteful number, since it uses less digits than its factorization.

13083505640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17490 (or 17486 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The spelling of 13083505640 in words is "thirteen billion, eighty-three million, five hundred five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 1049 2098 4196 5245 8392 10490 16411 19931 20980 32822 39862 41960 65644 79724 82055 99655 131288 159448 164110 199310 311809 328220 398620 623618 656440 797240 1247236 1559045 2494472 3118090 6236180 12472360 17215139 34430278 68860556 86075695 137721112 172151390 327087641 344302780 654175282 688605560 1308350564 1635438205 2616701128 3270876410 6541752820 13083505640