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12150000384 = 283115313721
BaseRepresentation
bin10110101000011001…
…00100101100000000
31011100202100222012020
423110030210230000
5144340400003014
65325344401440
7610042204434
oct132414445400
934322328166
1012150000384
1151753a4135
122431016280
1311b8263952
148339069c4
154b1a001a9
hex2d4324b00

12150000384 has 72 divisors (see below), whose sum is σ = 32367124272. Its totient is φ = 4046192640.

The previous prime is 12150000377. The next prime is 12150000389. The reversal of 12150000384 is 48300005121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12150000389) 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, 878644 + ... + 892364.

Almost surely, 212150000384 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 12150000384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16183562136).

12150000384 is an abundant number, since it is smaller than the sum of its proper divisors (20217123888).

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

12150000384 is a wasteful number, since it uses less digits than its factorization.

12150000384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14893 (or 14879 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 12150000384 in words is "twelve billion, one hundred fifty million, three hundred eighty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1153 2306 3459 4612 6918 9224 13721 13836 18448 27442 27672 36896 41163 54884 55344 73792 82326 109768 110688 147584 164652 219536 221376 295168 329304 439072 442752 658608 878144 885504 1317216 1756288 2634432 3512576 5268864 10537728 15820313 31640626 47460939 63281252 94921878 126562504 189843756 253125008 379687512 506250016 759375024 1012500032 1518750048 2025000064 3037500096 4050000128 6075000192 12150000384