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11978209152 = 273372135441
BaseRepresentation
bin10110010011111010…
…01111011110000000
31010220210010001221000
423021331033132000
5144012410143102
65300330332000
7602555045400
oct131175173600
933823101830
1011978209152
115097428908
1223a358a000
13118b7a5230
14818b88800
154a18b901c
hex2c9f4f780

11978209152 has 384 divisors, whose sum is σ = 44295703200. Its totient is φ = 3158507520.

The previous prime is 11978209127. The next prime is 11978209189. The reversal of 11978209152 is 25190287911.

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

It is a junction number, because it is equal to n+sod(n) for n = 11978209098 and 11978209107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2198752 + ... + 2204192.

Almost surely, 211978209152 is an apocalyptic number.

11978209152 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 11978209152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22147851600).

11978209152 is an abundant number, since it is smaller than the sum of its proper divisors (32317494048).

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

11978209152 is a wasteful number, since it uses less digits than its factorization.

11978209152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5491 (or 5466 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

The spelling of 11978209152 in words is "eleven billion, nine hundred seventy-eight million, two hundred nine thousand, one hundred fifty-two".