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16001914194 = 23271014193001
BaseRepresentation
bin11101110011100100…
…11101010101010010
31112022012102110120200
432321302131111102
5230232442223234
611203504320030
71104354012030
oct167162352522
945265373520
1016001914194
116871732a82
123127013016
1316802a65a6
14abb30d550
15639c72d99
hex3b9c9d552

16001914194 has 96 divisors (see below), whose sum is σ = 40124972160. Its totient is φ = 4514400000.

The previous prime is 16001914157. The next prime is 16001914213. The reversal of 16001914194 is 49141910061.

16001914194 is a `hidden beast` number, since 1 + 600 + 1 + 9 + 1 + 41 + 9 + 4 = 666.

It is a super-2 number, since 2×160019141942 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5330694 + ... + 5333694.

It is an arithmetic number, because the mean of its divisors is an integer number (417968460).

Almost surely, 216001914194 is an apocalyptic number.

16001914194 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16001914194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20062486080).

16001914194 is an abundant number, since it is smaller than the sum of its proper divisors (24123057966).

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

16001914194 is a wasteful number, since it uses less digits than its factorization.

16001914194 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3536 (or 3533 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 16001914194 in words is "sixteen billion, one million, nine hundred fourteen thousand, one hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 101 126 202 303 419 606 707 838 909 1257 1414 1818 2121 2514 2933 3001 3771 4242 5866 6002 6363 7542 8799 9003 12726 17598 18006 21007 26397 27009 42014 42319 52794 54018 63021 84638 126042 126957 189063 253914 296233 303101 378126 380871 592466 606202 761742 888699 909303 1257419 1777398 1818606 2121707 2514838 2666097 2727909 3772257 4243414 5332194 5455818 6365121 7544514 8801933 11316771 12730242 17603866 19095363 22633542 26405799 38190726 52811598 79217397 126999319 158434794 253998638 380997957 761995914 888995233 1142993871 1777990466 2285987742 2666985699 5333971398 8000957097 16001914194