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12623612540 = 22571119431429
BaseRepresentation
bin10111100000110110…
…10000101001111100
31012120202112221221012
423300123100221330
5201323121100130
65444343454352
7624552636050
oct136033205174
935522487835
1012623612540
115398777a40
1225437573b8
131262409c26
1487a78dc60
154dd3a4995
hex2f06d0a7c

12623612540 has 96 divisors (see below), whose sum is σ = 34790515200. Its totient is φ = 3727537920.

The previous prime is 12623612503. The next prime is 12623612569. The reversal of 12623612540 is 4521632621.

12623612540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12623612497 and 12623612506.

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 31 ways as a sum of consecutive naturals, for example, 186455 + ... + 244974.

It is an arithmetic number, because the mean of its divisors is an integer number (362401200).

Almost surely, 212623612540 is an apocalyptic number.

12623612540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12623612540 is an abundant number, since it is smaller than the sum of its proper divisors (22166902660).

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

12623612540 is a wasteful number, since it uses less digits than its factorization.

12623612540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431475 (or 431473 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 12623612540 in words is "twelve billion, six hundred twenty-three million, six hundred twelve thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 14 19 20 22 28 35 38 44 55 70 76 77 95 110 133 140 154 190 209 220 266 308 380 385 418 532 665 770 836 1045 1330 1463 1540 2090 2660 2926 4180 5852 7315 14630 29260 431429 862858 1725716 2157145 3020003 4314290 4745719 6040006 8197151 8628580 9491438 12080012 15100015 16394302 18982876 23728595 30200030 32788604 33220033 40985755 47457190 57380057 60400060 66440066 81971510 90168661 94914380 114760114 132880132 163943020 166100165 180337322 229520228 286900285 332200330 360674644 450843305 573800570 631180627 664400660 901686610 1147601140 1262361254 1803373220 2524722508 3155903135 6311806270 12623612540