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12292620144 = 243736585179
BaseRepresentation
bin10110111001011001…
…00111111101110000
31011201200201210201120
423130230213331300
5200133402321034
65351441302240
7613423355460
oct133454477560
934650653646
1012292620144
115238955502
122470934980
13120b97a53c
1484882dba0
154be2c2c49
hex2dcb27f70

12292620144 has 40 divisors (see below), whose sum is σ = 36292498560. Its totient is φ = 3512177088.

The previous prime is 12292620107. The next prime is 12292620157. The reversal of 12292620144 is 44102629221.

It is a happy number.

It is a super-2 number, since 2×122926201442 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18292254 + ... + 18292925.

It is an arithmetic number, because the mean of its divisors is an integer number (907312464).

Almost surely, 212292620144 is an apocalyptic number.

12292620144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12292620144 is an abundant number, since it is smaller than the sum of its proper divisors (23999878416).

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

12292620144 is a wasteful number, since it uses less digits than its factorization.

12292620144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36585197 (or 36585191 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 12292620144 in words is "twelve billion, two hundred ninety-two million, six hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 36585179 73170358 109755537 146340716 219511074 256096253 292681432 439022148 512192506 585362864 768288759 878044296 1024385012 1536577518 1756088592 2048770024 3073155036 4097540048 6146310072 12292620144