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16857493752 = 23311293835749
BaseRepresentation
bin11111011001100100…
…01111000011111000
31121111211100102002110
433230302033003320
5234011004300002
611424430332320
71134513222051
oct175462170370
947454312073
1016857493752
117170685620
12332565a0a0
131788619398
14b5cbc5728
15689e27e6c
hex3ecc8f0f8

16857493752 has 128 divisors (see below), whose sum is σ = 47692800000. Its totient is φ = 4918448640.

The previous prime is 16857493733. The next prime is 16857493769. The reversal of 16857493752 is 25739475861.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 16857493692 and 16857493701.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2929374 + ... + 2935122.

It is an arithmetic number, because the mean of its divisors is an integer number (372600000).

Almost surely, 216857493752 is an apocalyptic number.

16857493752 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 16857493752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23846400000).

16857493752 is an abundant number, since it is smaller than the sum of its proper divisors (30835306248).

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

16857493752 is a wasteful number, since it uses less digits than its factorization.

16857493752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6181 (or 6177 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 57.

The spelling of 16857493752 in words is "sixteen billion, eight hundred fifty-seven million, four hundred ninety-three thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 132 174 232 264 319 348 383 638 696 766 957 1149 1276 1532 1914 2298 2552 3064 3828 4213 4596 5749 7656 8426 9192 11107 11498 12639 16852 17247 22214 22996 25278 33321 33704 34494 44428 45992 50556 63239 66642 68988 88856 101112 122177 126478 133284 137976 166721 189717 244354 252956 266568 333442 366531 379434 488708 500163 505912 666884 733062 758868 977416 1000326 1333768 1466124 1517736 1833931 2000652 2201867 2932248 3667862 4001304 4403734 5501793 6605601 7335724 8807468 11003586 13211202 14671448 17614936 22007172 24220537 26422404 44014344 48441074 52844808 63854143 72661611 96882148 127708286 145323222 191562429 193764296 255416572 290646444 383124858 510833144 581292888 702395573 766249716 1404791146 1532499432 2107186719 2809582292 4214373438 5619164584 8428746876 16857493752