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11768038992 = 24352925961
BaseRepresentation
bin10101111010110111…
…00000011001010000
31010101010122022200000
422331123200121100
5143100104221432
65223421530000
7564423452403
oct127533403120
933333568600
1011768038992
114a99829966
122345113900
131157099aa8
147d8cb9d3a
1548d20157c
hex2bd6e0650

11768038992 has 360 divisors, whose sum is σ = 36561514080. Its totient is φ = 3662184960.

The previous prime is 11768038969. The next prime is 11768038993. The reversal of 11768038992 is 29983086711.

11768038992 is a `hidden beast` number, since 1 + 176 + 8 + 0 + 389 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11768038993) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 192918642 + ... + 192918702.

Almost surely, 211768038992 is an apocalyptic number.

11768038992 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 11768038992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18280757040).

11768038992 is an abundant number, since it is smaller than the sum of its proper divisors (24793475088).

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

11768038992 is an equidigital number, since it uses as much as digits as its factorization.

11768038992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 11768038992 in words is "eleven billion, seven hundred sixty-eight million, thirty-eight thousand, nine hundred ninety-two".