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16834586944 = 267353106451
BaseRepresentation
bin11111010110110101…
…10110100101000000
31121110020020121212011
433223122312211000
5233434123240234
611422251342304
71134114425260
oct175332664500
947406217764
1016834586944
11715975a37a
123319a51994
131783958b66
14b59b417a0
15687e00b64
hex3eb6b6940

16834586944 has 56 divisors (see below), whose sum is σ = 38286952128. Its totient is φ = 7194316800.

The previous prime is 16834586941. The next prime is 16834586953. The reversal of 16834586944 is 44968543861.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×168345869443 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16834586941) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104919 + ... + 211369.

Almost surely, 216834586944 is an apocalyptic number.

16834586944 is a gapful number since it is divisible by the number (14) 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 16834586944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19143476064).

16834586944 is an abundant number, since it is smaller than the sum of its proper divisors (21452365184).

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

16834586944 is a wasteful number, since it uses less digits than its factorization.

16834586944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106823 (or 106813 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 58.

The spelling of 16834586944 in words is "sixteen billion, eight hundred thirty-four million, five hundred eighty-six thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 353 448 706 1412 2471 2824 4942 5648 9884 11296 19768 22592 39536 79072 106451 158144 212902 425804 745157 851608 1490314 1703216 2980628 3406432 5961256 6812864 11922512 23845024 37577203 47690048 75154406 150308812 263040421 300617624 526080842 601235248 1052161684 1202470496 2104323368 2404940992 4208646736 8417293472 16834586944