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12002949504 = 2732713611877
BaseRepresentation
bin10110010110110111…
…00111100110000000
31010222111200000022100
423023123213212000
5144040223341004
65303012510400
7603305246610
oct131333474600
933874600270
1012002949504
1150aa396687
1223ab91b400
1311939581b0
1481c188a40
154a3b54739
hex2cb6e7980

12002949504 has 384 divisors, whose sum is σ = 43230358080. Its totient is φ = 3112058880.

The previous prime is 12002949499. The next prime is 12002949521. The reversal of 12002949504 is 40594920021.

12002949504 is a `hidden beast` number, since 120 + 0 + 29 + 4 + 9 + 504 = 666.

12002949504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 6393814 + ... + 6395690.

Almost surely, 212002949504 is an apocalyptic number.

12002949504 is a gapful number since it is divisible by the number (14) 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 12002949504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21615179040).

12002949504 is an abundant number, since it is smaller than the sum of its proper divisors (31227408576).

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

12002949504 is a wasteful number, since it uses less digits than its factorization.

12002949504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 12002949504 in words is "twelve billion, two million, nine hundred forty-nine thousand, five hundred four".