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11899381469184 = 21234113260519
BaseRepresentation
bin1010110100101000101001…
…1001111101000000000000
31120010120101100120010210000
42231022022121331000000
53024424413124003214
641150300025440000
72335462523425116
oct255121231750000
946116340503700
1011899381469184
113878554694410
12140221a940000
136841509c6aa1
142d1d0c74dab6
151597e4757809

11899381469184 has 260 divisors, whose sum is σ = 38778446852640. Its totient is φ = 3605872066560.

The previous prime is 11899381469147. The next prime is 11899381469189. The reversal of 11899381469184 is 48196418399811.

11899381469184 is a `hidden beast` number, since 1 + 1 + 8 + 9 + 9 + 3 + 81 + 469 + 1 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11899381469189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2019277 + ... + 5279795.

Almost surely, 211899381469184 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 11899381469184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19389223426320).

11899381469184 is an abundant number, since it is smaller than the sum of its proper divisors (26879065383456).

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

11899381469184 is an equidigital number, since it uses as much as digits as its factorization.

11899381469184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3260566 (or 3260535 counting only the distinct ones).

The product of its digits is 107495424, while the sum is 72.

The spelling of 11899381469184 in words is "eleven trillion, eight hundred ninety-nine billion, three hundred eighty-one million, four hundred sixty-nine thousand, one hundred eighty-four".