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12024945024 = 273293106877
BaseRepresentation
bin10110011001011111…
…00001100110000000
31011001001001111111020
423030233201212000
5144111341220044
65305120145440
7603663226521
oct131457414600
934031044436
1012024945024
11511084a1a4
1223b7168280
1311983899b1
14821072848
154a5a4ba19
hex2ccbe1980

12024945024 has 64 divisors (see below), whose sum is σ = 32050574640. Its totient is φ = 3994597376.

The previous prime is 12024945013. The next prime is 12024945029. The reversal of 12024945024 is 42054942021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12024945029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59074 + ... + 165950.

Almost surely, 212024945024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12024945024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16025287320).

12024945024 is an abundant number, since it is smaller than the sum of its proper divisors (20025629616).

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

12024945024 is a wasteful number, since it uses less digits than its factorization.

12024945024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107187 (or 107175 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 12024945024 in words is "twelve billion, twenty-four million, nine hundred forty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 293 384 586 879 1172 1758 2344 3516 4688 7032 9376 14064 18752 28128 37504 56256 106877 112512 213754 320631 427508 641262 855016 1282524 1710032 2565048 3420064 5130096 6840128 10260192 13680256 20520384 31314961 41040768 62629922 93944883 125259844 187889766 250519688 375779532 501039376 751559064 1002078752 1503118128 2004157504 3006236256 4008315008 6012472512 12024945024