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12269377008 = 2432737615393
BaseRepresentation
bin10110110110100111…
…11101010111110000
31011200001222221010200
423123103331113300
5200111430031013
65345251155200
7613021661310
oct133323752760
934601887120
1012269377008
11522681a5a9
122464ba5b00
131206bccbc5
148456dd440
154bc230e73
hex2db4fd5f0

12269377008 has 240 divisors, whose sum is σ = 40971443136. Its totient is φ = 3354255360.

The previous prime is 12269376997. The next prime is 12269377063. The reversal of 12269377008 is 80077396221.

12269377008 is a `hidden beast` number, since 12 + 269 + 377 + 0 + 0 + 8 = 666.

It is a super-2 number, since 2×122693770082 (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 47 ways as a sum of consecutive naturals, for example, 2272360 + ... + 2277752.

Almost surely, 212269377008 is an apocalyptic number.

12269377008 is a gapful number since it is divisible by the number (18) 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 12269377008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20485721568).

12269377008 is an abundant number, since it is smaller than the sum of its proper divisors (28702066128).

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

12269377008 is a wasteful number, since it uses less digits than its factorization.

12269377008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5512 (or 5503 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 12269377008 in words is "twelve billion, two hundred sixty-nine million, three hundred seventy-seven thousand, eight".