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11668692420 = 223257211432797
BaseRepresentation
bin10101101111000001…
…00001110111000100
31010010012200222210100
422313200201313010
5142344141124140
65205512324100
7562106151300
oct126740416704
933105628710
1011668692420
114a48744360
1223179a3630
13113c624838
147c9a18d00
1548462a530
hex2b7821dc4

11668692420 has 432 divisors, whose sum is σ = 45977899968. Its totient is φ = 2367429120.

The previous prime is 11668692401. The next prime is 11668692437. The reversal of 11668692420 is 2429686611.

11668692420 is a `hidden beast` number, since 1 + 1 + 66 + 86 + 92 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4170462 + ... + 4173258.

It is an arithmetic number, because the mean of its divisors is an integer number (106430324).

Almost surely, 211668692420 is an apocalyptic number.

11668692420 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 11668692420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22988949984).

11668692420 is an abundant number, since it is smaller than the sum of its proper divisors (34309207548).

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

11668692420 is a wasteful number, since it uses less digits than its factorization.

11668692420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2880 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 11668692420 in words is "eleven billion, six hundred sixty-eight million, six hundred ninety-two thousand, four hundred twenty".