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11378707648 = 2671117711913
BaseRepresentation
bin10101001100011100…
…10100110011000000
31002101000001020110121
422212032110303000
5141300422121043
65121033110024
7551655263530
oct124616246300
932330036417
1011378707648
114909a90520
122256858314
1310c4522509
1479d2d14c0
15468e48ded
hex2a6394cc0

11378707648 has 224 divisors, whose sum is σ = 30242792448. Its totient is φ = 4111564800.

The previous prime is 11378707633. The next prime is 11378707649. The reversal of 11378707648 is 84670787311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 11378707595 and 11378707604.

It is not an unprimeable number, because it can be changed into a prime (11378707649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5947140 + ... + 5949052.

Almost surely, 211378707648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11378707648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15121396224).

11378707648 is an abundant number, since it is smaller than the sum of its proper divisors (18864084800).

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

11378707648 is a wasteful number, since it uses less digits than its factorization.

11378707648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2031 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 52.

The spelling of 11378707648 in words is "eleven billion, three hundred seventy-eight million, seven hundred seven thousand, six hundred forty-eight".