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119442161664 = 214327261271
BaseRepresentation
bin110111100111101001…
…1101100000000000000
3102102022010111111011100
41233033103230000000
53424104143133124
6130512044014400
711425613423400
oct1571723540000
9372263444140
10119442161664
1146722a93a01
121b194b31400
13b356761207
145ad1216800
1531910151c9
hex1bcf4ec000

119442161664 has 540 divisors, whose sum is σ = 409463771808. Its totient is φ = 33443020800.

The previous prime is 119442161639. The next prime is 119442161669. The reversal of 119442161664 is 466161244911.

119442161664 is a `hidden beast` number, since 1 + 1 + 9 + 4 + 4 + 21 + 616 + 6 + 4 = 666.

It is a super-2 number, since 2×1194421616642 (a number of 23 digits) contains 22 as substring.

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 (119442161669) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 440745849 + ... + 440746119.

Almost surely, 2119442161664 is an apocalyptic number.

119442161664 is a gapful number since it is divisible by the number (14) 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 119442161664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204731885904).

119442161664 is an abundant number, since it is smaller than the sum of its proper divisors (290021610144).

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

119442161664 is an equidigital number, since it uses as much as digits as its factorization.

119442161664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 344 counting only the distinct ones).

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

The spelling of 119442161664 in words is "one hundred nineteen billion, four hundred forty-two million, one hundred sixty-one thousand, six hundred sixty-four".