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16816096152 = 2333974611741
BaseRepresentation
bin11111010100101000…
…10100001110011000
31121101221110012021000
433222110110032120
5233414410034102
611420351145000
71133501313252
oct175224241630
947357405230
1016816096152
11714a27aa29
123313815160
13177cb8366b
14b574cacd2
1568649c01c
hex3ea514398

16816096152 has 128 divisors (see below), whose sum is σ = 47322475200. Its totient is φ = 5532364800.

The previous prime is 16816096133. The next prime is 16816096247. The reversal of 16816096152 is 25169061861.

16816096152 is a `hidden beast` number, since 16 + 8 + 16 + 0 + 9 + 615 + 2 = 666.

It is a hoax number, since the sum of its digits (45) 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 = 16816096098 and 16816096107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9658002 + ... + 9659742.

Almost surely, 216816096152 is an apocalyptic number.

16816096152 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 16816096152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23661237600).

16816096152 is an abundant number, since it is smaller than the sum of its proper divisors (30506379048).

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

16816096152 is a wasteful number, since it uses less digits than its factorization.

16816096152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2314 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 16816096152 in words is "sixteen billion, eight hundred sixteen million, ninety-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 97 108 194 216 291 388 461 582 776 873 922 1164 1383 1741 1746 1844 2328 2619 2766 3482 3492 3688 4149 5223 5238 5532 6964 6984 8298 10446 10476 11064 12447 13928 15669 16596 20892 20952 24894 31338 33192 41784 44717 47007 49788 62676 89434 94014 99576 125352 134151 168877 178868 188028 268302 337754 357736 376056 402453 506631 536604 675508 802601 804906 1013262 1073208 1207359 1351016 1519893 1605202 1609812 2026524 2407803 2414718 3039786 3210404 3219624 4053048 4559679 4815606 4829436 6079572 6420808 7223409 9119358 9631212 9658872 12159144 14446818 18238716 19262424 21670227 28893636 36477432 43340454 57787272 77852297 86680908 155704594 173361816 233556891 311409188 467113782 622818376 700670673 934227564 1401341346 1868455128 2102012019 2802682692 4204024038 5605365384 8408048076 16816096152