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12264898050 = 23252191434491
BaseRepresentation
bin10110110110000101…
…10111111000000010
31011122202120101011100
423123002313320002
5200104303214200
65345011155230
7612635625156
oct133302677002
934582511140
1012264898050
115224240489
1224635a5b16
131205cc2332
14844c95066
154bbb48d00
hex2db0b7e02

12264898050 has 72 divisors (see below), whose sum is σ = 34686016560. Its totient is φ = 3098498400.

The previous prime is 12264898049. The next prime is 12264898057. The reversal of 12264898050 is 5089846221.

12264898050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 12264897987 and 12264898005.

It is not an unprimeable number, because it can be changed into a prime (12264898057) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 708696 + ... + 725795.

It is an arithmetic number, because the mean of its divisors is an integer number (481750230).

Almost surely, 212264898050 is an apocalyptic number.

12264898050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12264898050 is an abundant number, since it is smaller than the sum of its proper divisors (22421118510).

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

12264898050 is a wasteful number, since it uses less digits than its factorization.

12264898050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434528 (or 1434520 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 12264898050 in words is "twelve billion, two hundred sixty-four million, eight hundred ninety-eight thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 38 45 50 57 75 90 95 114 150 171 190 225 285 342 450 475 570 855 950 1425 1710 2850 4275 8550 1434491 2868982 4303473 7172455 8606946 12910419 14344910 21517365 25820838 27255329 35862275 43034730 54510658 64552095 71724550 81765987 107586825 129104190 136276645 163531974 215173650 245297961 272553290 322760475 408829935 490595922 645520950 681383225 817659870 1226489805 1362766450 2044149675 2452979610 4088299350 6132449025 12264898050