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16138297152 = 2632271103387
BaseRepresentation
bin11110000011110101…
…01101111101000000
31112122201001102211100
433001322231331000
5231022401002102
611225215414400
71110631156005
oct170172557500
945581042740
1016138297152
11693171456a
123164824400
1316a2618473
14ad14918ac
15646c12a1c
hex3c1eadf40

16138297152 has 84 divisors (see below), whose sum is σ = 46428655936. Its totient is φ = 5359530240.

The previous prime is 16138297151. The next prime is 16138297181. The reversal of 16138297152 is 25179283161.

16138297152 is a `hidden beast` number, since 1 + 613 + 8 + 29 + 7 + 1 + 5 + 2 = 666.

It is a super-2 number, since 2×161382971522 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16138297098 and 16138297107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16138297151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104403 + ... + 207789.

Almost surely, 216138297152 is an apocalyptic number.

16138297152 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 16138297152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23214327968).

16138297152 is an abundant number, since it is smaller than the sum of its proper divisors (30290358784).

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

16138297152 is a wasteful number, since it uses less digits than its factorization.

16138297152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103676 (or 103663 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The spelling of 16138297152 in words is "sixteen billion, one hundred thirty-eight million, two hundred ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 271 288 542 576 813 1084 1626 2168 2439 3252 4336 4878 6504 8672 9756 13008 17344 19512 26016 39024 52032 78048 103387 156096 206774 310161 413548 620322 827096 930483 1240644 1654192 1860966 2481288 3308384 3721932 4962576 6616768 7443864 9925152 14887728 19850304 28017877 29775456 56035754 59550912 84053631 112071508 168107262 224143016 252160893 336214524 448286032 504321786 672429048 896572064 1008643572 1344858096 1793144128 2017287144 2689716192 4034574288 5379432384 8069148576 16138297152