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11948197632 = 28372794019
BaseRepresentation
bin10110010000010101…
…10000011100000000
31010211200122022212020
423020022300130000
5143432214311012
65253335201440
7602042001300
oct131012603400
933750568766
1011948197632
11508149a7a8
122395516280
1311854c7c37
14814bb5600
1549de3ba8c
hex2c82b0700

11948197632 has 216 divisors, whose sum is σ = 37468972800. Its totient is φ = 3369719808.

The previous prime is 11948197621. The next prime is 11948197643. The reversal of 11948197632 is 23679184911.

It is an interprime number because it is at equal distance from previous prime (11948197621) and next prime (11948197643).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2970919 + ... + 2974937.

Almost surely, 211948197632 is an apocalyptic number.

11948197632 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 11948197632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18734486400).

11948197632 is an abundant number, since it is smaller than the sum of its proper divisors (25520775168).

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

11948197632 is an equidigital number, since it uses as much as digits as its factorization.

11948197632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4131 (or 4110 counting only the distinct ones).

The product of its digits is 653184, while the sum is 51.

The spelling of 11948197632 in words is "eleven billion, nine hundred forty-eight million, one hundred ninety-seven thousand, six hundred thirty-two".