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11963424896 = 27373676883
BaseRepresentation
bin10110010010001001…
…10110000010000000
31010212202021221201222
423021010312002000
5144000114044041
65255041414212
7602315301533
oct131104660200
933782257658
1011963424896
11508a050215
12239a63a368
1311886c9b57
14816c1aa1a
154a044874b
hex2c9136080

11963424896 has 64 divisors (see below), whose sum is σ = 24547793280. Its totient is φ = 5803342848.

The previous prime is 11963424881. The next prime is 11963424911. The reversal of 11963424896 is 69842436911.

It is an interprime number because it is at equal distance from previous prime (11963424881) and next prime (11963424911).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×119634248962 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1734671 + ... + 1741553.

It is an arithmetic number, because the mean of its divisors is an integer number (383559270).

Almost surely, 211963424896 is an apocalyptic number.

11963424896 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 11963424896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12273896640).

11963424896 is an abundant number, since it is smaller than the sum of its proper divisors (12584368384).

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

11963424896 is an equidigital number, since it uses as much as digits as its factorization.

11963424896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7301 (or 7289 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 53.

The spelling of 11963424896 in words is "eleven billion, nine hundred sixty-three million, four hundred twenty-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 367 592 734 1184 1468 2368 2936 4736 5872 6883 11744 13579 13766 23488 27158 27532 46976 54316 55064 108632 110128 217264 220256 254671 434528 440512 509342 869056 881024 1018684 1738112 2037368 2526061 4074736 5052122 8149472 10104244 16298944 20208488 32597888 40416976 80833952 93464257 161667904 186928514 323335808 373857028 747714056 1495428112 2990856224 5981712448 11963424896