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16085741640192 = 29337755921991
BaseRepresentation
bin1110101000010100000011…
…1010101001101000000000
32002221210002222210102101000
43222011000322221220000
54102022044324441232
654113404313012000
73250104446645040
oct352050072515000
962853088712330
1016085741640192
115141a1988a834
1219796363b4000
138c8b5700a353
143d87a8451720
151cd66149b27c
hexea140ea9a00

16085741640192 has 320 divisors, whose sum is σ = 54426716467200. Its totient is φ = 4595109212160.

The previous prime is 16085741640179. The next prime is 16085741640209. The reversal of 16085741640192 is 29104614758061.

16085741640192 is a `hidden beast` number, since 1 + 6 + 0 + 8 + 574 + 1 + 64 + 0 + 1 + 9 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 731458317 + ... + 731480307.

It is an arithmetic number, because the mean of its divisors is an integer number (170083488960).

Almost surely, 216085741640192 is an apocalyptic number.

16085741640192 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 16085741640192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27213358233600).

16085741640192 is an abundant number, since it is smaller than the sum of its proper divisors (38340974827008).

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

16085741640192 is an equidigital number, since it uses as much as digits as its factorization.

16085741640192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29584 (or 29562 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 16085741640192 in words is "sixteen trillion, eighty-five billion, seven hundred forty-one million, six hundred forty thousand, one hundred ninety-two".