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11988168192 = 29327111323113
BaseRepresentation
bin10110010101000110…
…01110111000000000
31010221110212001011100
423022203032320000
5144022432340232
65301324014400
7603035514450
oct131243167000
933843761140
1011988168192
1150a2010220
1223a6991400
131190881260
1481a21bd60
154a26d4c7c
hex2ca8cee00

11988168192 has 960 divisors, whose sum is σ = 48902870016. Its totient is φ = 2724986880.

The previous prime is 11988168139. The next prime is 11988168263. The reversal of 11988168192 is 29186188911.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106089928 + ... + 106090040.

Almost surely, 211988168192 is an apocalyptic number.

11988168192 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 11988168192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24451435008).

11988168192 is an abundant number, since it is smaller than the sum of its proper divisors (36914701824).

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

11988168192 is a wasteful number, since it uses less digits than its factorization.

11988168192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 172 counting only the distinct ones).

The product of its digits is 497664, while the sum is 54.

The spelling of 11988168192 in words is "eleven billion, nine hundred eighty-eight million, one hundred sixty-eight thousand, one hundred ninety-two".