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11848923216 = 24331337127449
BaseRepresentation
bin10110000100100000…
…00011100001010000
31010120202211122222000
423002100003201100
5143231311020331
65235431314000
7566425120434
oct130220034120
933522748860
1011848923216
115030454429
12236821b900
13116aa79790
148059329c4
1549537c0e6
hex2c2403850

11848923216 has 320 divisors, whose sum is σ = 37997568000. Its totient is φ = 3511517184.

The previous prime is 11848923197. The next prime is 11848923239. The reversal of 11848923216 is 61232984811.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26389360 + ... + 26389808.

It is an arithmetic number, because the mean of its divisors is an integer number (118742400).

Almost surely, 211848923216 is an apocalyptic number.

11848923216 is a gapful number since it is divisible by the number (16) 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 11848923216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18998784000).

11848923216 is an abundant number, since it is smaller than the sum of its proper divisors (26148644784).

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

11848923216 is a wasteful number, since it uses less digits than its factorization.

11848923216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 631 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The spelling of 11848923216 in words is "eleven billion, eight hundred forty-eight million, nine hundred twenty-three thousand, two hundred sixteen".