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12280787904 = 2637113112671
BaseRepresentation
bin10110110111111110…
…11111001111000000
31011200212110122221110
423123333133033000
5200122340203104
65350335523320
7613220655240
oct133377371700
934625418843
1012280787904
1152322037a0
122468989540
131209396a08
1484702db20
154bd236e89
hex2dbfdf3c0

12280787904 has 224 divisors, whose sum is σ = 40656125952. Its totient is φ = 3178368000.

The previous prime is 12280787899. The next prime is 12280787977. The reversal of 12280787904 is 40978708221.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4596489 + ... + 4599159.

Almost surely, 212280787904 is an apocalyptic number.

12280787904 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 12280787904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20328062976).

12280787904 is an abundant number, since it is smaller than the sum of its proper divisors (28375338048).

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

12280787904 is a wasteful number, since it uses less digits than its factorization.

12280787904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3015 (or 3005 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The spelling of 12280787904 in words is "twelve billion, two hundred eighty million, seven hundred eighty-seven thousand, nine hundred four".