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11619672960 = 27357311672
BaseRepresentation
bin10101101001001011…
…00010001110000000
31002222210110112201210
422310211202032000
5142244114013320
65201001530120
7560642406360
oct126445421600
932883415653
1011619672960
114a23003305
1223034a3940
13113242083c
147c32d89a0
154801960e0
hex2b4962380

11619672960 has 384 divisors, whose sum is σ = 43957463040. Its totient is φ = 2554859520.

The previous prime is 11619672899. The next prime is 11619673001. The reversal of 11619672960 is 6927691611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69578797 + ... + 69578963.

It is an arithmetic number, because the mean of its divisors is an integer number (114472560).

Almost surely, 211619672960 is an apocalyptic number.

11619672960 is a gapful number since it is divisible by the number (10) 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 11619672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21978731520).

11619672960 is an abundant number, since it is smaller than the sum of its proper divisors (32337790080).

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

11619672960 is an equidigital number, since it uses as much as digits as its factorization.

11619672960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 48.

The spelling of 11619672960 in words is "eleven billion, six hundred nineteen million, six hundred seventy-two thousand, nine hundred sixty".