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16810042144 = 257312420801
BaseRepresentation
bin11111010011111010…
…01110001100100000
31121101112001121201111
433221331032030200
5233411332322034
611420013313104
71133366000140
oct175175161440
947345047644
1016810042144
117146915515
123311795794
13177b843bcc
14b56792920
15685ba3364
hex3e9f4e320

16810042144 has 48 divisors (see below), whose sum is σ = 39042694656. Its totient is φ = 6971904000.

The previous prime is 16810042127. The next prime is 16810042163. The reversal of 16810042144 is 44124001861.

It is a super-2 number, since 2×168100421442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1203457 + ... + 1217344.

It is an arithmetic number, because the mean of its divisors is an integer number (813389472).

Almost surely, 216810042144 is an apocalyptic number.

16810042144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

16810042144 is an abundant number, since it is smaller than the sum of its proper divisors (22232652512).

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

16810042144 is a wasteful number, since it uses less digits than its factorization.

16810042144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420849 (or 2420841 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The spelling of 16810042144 in words is "sixteen billion, eight hundred ten million, forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1736 3472 6944 2420801 4841602 9683204 16945607 19366408 33891214 38732816 67782428 75044831 77465632 135564856 150089662 271129712 300179324 525313817 542259424 600358648 1050627634 1200717296 2101255268 2401434592 4202510536 8405021072 16810042144