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12466420992 = 2835238713
BaseRepresentation
bin10111001110000111…
…00111110100000000
31012011210202210200000
423213003213310000
5201012400432432
65421010400000
7620633554464
oct134703476400
935153683600
1012466420992
115317a73673
1224bab90000
13123899088c
148639524a4
154ce6a457c
hex2e70e7d00

12466420992 has 216 divisors, whose sum is σ = 38900132544. Its totient is φ = 3974344704.

The previous prime is 12466420951. The next prime is 12466421027. The reversal of 12466420992 is 29902466421.

It is a tau number, because it is divible by the number of its divisors (216).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1426428 + ... + 1435140.

Almost surely, 212466420992 is an apocalyptic number.

12466420992 is a gapful number since it is divisible by the number (12) 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 12466420992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19450066272).

12466420992 is an abundant number, since it is smaller than the sum of its proper divisors (26433711552).

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

12466420992 is an frugal number, since it uses more digits than its factorization.

12466420992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8767 (or 8741 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 12466420992 in words is "twelve billion, four hundred sixty-six million, four hundred twenty thousand, nine hundred ninety-two".