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16057745172 = 22327538391433
BaseRepresentation
bin11101111010001110…
…11011111100010100
31112110002110222021200
432331013123330110
5230341240321142
611213221112500
71105632403410
oct167507337424
945402428250
1016057745172
1168a01a6687
123141858730
13168ba23a81
14ac48c3d40
1563eb0064c
hex3bd1dbf14

16057745172 has 144 divisors (see below), whose sum is σ = 47353662720. Its totient is φ = 4492859904.

The previous prime is 16057745141. The next prime is 16057745173. The reversal of 16057745172 is 27154775061.

16057745172 is a `hidden beast` number, since 1 + 6 + 0 + 577 + 4 + 5 + 1 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16057745173) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11204968 + ... + 11206400.

It is an arithmetic number, because the mean of its divisors is an integer number (328844880).

Almost surely, 216057745172 is an apocalyptic number.

16057745172 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 16057745172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23676831360).

16057745172 is an abundant number, since it is smaller than the sum of its proper divisors (31295917548).

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

16057745172 is a wasteful number, since it uses less digits than its factorization.

16057745172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342 (or 2337 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The spelling of 16057745172 in words is "sixteen billion, fifty-seven million, seven hundred forty-five thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 53 63 84 106 126 159 212 252 318 371 477 636 742 839 954 1113 1433 1484 1678 1908 2226 2517 2866 3339 3356 4299 4452 5034 5732 5873 6678 7551 8598 10031 10068 11746 12897 13356 15102 17196 17619 20062 23492 25794 30093 30204 35238 40124 44467 51588 52857 60186 70476 75949 88934 90279 105714 120372 133401 151898 177868 180558 211428 227847 266802 303796 311269 361116 400203 455694 531643 533604 622538 683541 800406 911388 933807 1063286 1202287 1245076 1367082 1594929 1600812 1867614 2126572 2404574 2734164 2801421 3189858 3606861 3735228 4784787 4809148 5602842 6379716 7213722 8416009 9569574 10820583 11205684 14427444 16832018 19139148 21641166 25248027 33664036 43282332 50496054 63721211 75744081 100992108 127442422 151488162 191163633 254884844 302976324 382327266 446048477 573490899 764654532 892096954 1146981798 1338145431 1784193908 2293963596 2676290862 4014436293 5352581724 8028872586 16057745172