Search a number
-
+
16610194816 = 273110873851
BaseRepresentation
bin11110111100000101…
…10111010110000000
31120212121000022201121
433132002313112000
5233004202213231
611344114042024
71125421216645
oct173602672600
946777008647
1016610194816
117054027236
123276879314
131749311257
14b3800ddcc
15673379311
hex3de0b7580

16610194816 has 64 divisors (see below), whose sum is σ = 34198364160. Its totient is φ = 8027712000.

The previous prime is 16610194813. The next prime is 16610194819. The reversal of 16610194816 is 61849101661.

16610194816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16610194813) and next prime (16610194819).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16610194813) 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 7 ways as a sum of consecutive naturals, for example, 4311291 + ... + 4315141.

It is an arithmetic number, because the mean of its divisors is an integer number (534349440).

Almost surely, 216610194816 is an apocalyptic number.

16610194816 is a gapful number since it is divisible by the number (16) 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 16610194816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17099182080).

16610194816 is an abundant number, since it is smaller than the sum of its proper divisors (17588169344).

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

16610194816 is a wasteful number, since it uses less digits than its factorization.

16610194816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4983 (or 4971 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 43.

The spelling of 16610194816 in words is "sixteen billion, six hundred ten million, one hundred ninety-four thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 992 1087 1984 2174 3851 3968 4348 7702 8696 15404 17392 30808 33697 34784 61616 67394 69568 119381 123232 134788 139136 238762 246464 269576 477524 492928 539152 955048 1078304 1910096 2156608 3820192 4186037 4313216 7640384 8372074 15280768 16744148 33488296 66976592 129767147 133953184 259534294 267906368 519068588 535812736 1038137176 2076274352 4152548704 8305097408 16610194816