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16142877000 = 23325317105509
BaseRepresentation
bin11110000100011000…
…01100000101001000
31112200000200010012100
433002030030011020
5231030034031000
611225501513400
71111015122225
oct170214140510
945600603170
1016142877000
116934262468
123166272860
1316a355cc33
14ad1d2494c
15647319a00
hex3c230c148

16142877000 has 192 divisors, whose sum is σ = 57773055600. Its totient is φ = 4051507200.

The previous prime is 16142876989. The next prime is 16142877013. The reversal of 16142877000 is 77824161.

16142877000 is a `hidden beast` number, since 161 + 428 + 7 + 70 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2648337444 + 13494539556 = 51462^2 + 116166^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100246 + ... + 205754.

Almost surely, 216142877000 is an apocalyptic number.

16142877000 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 16142877000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28886527800).

16142877000 is an abundant number, since it is smaller than the sum of its proper divisors (41630178600).

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

16142877000 is a wasteful number, since it uses less digits than its factorization.

16142877000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105553 (or 105536 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 16142877000 in words is "sixteen billion, one hundred forty-two million, eight hundred seventy-seven thousand".