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27067276152 = 23327373143981
BaseRepresentation
bin11001001101010101…
…011101101101111000
32120212100212002120100
4121031111131231320
5420413210314102
620233505355400
71645516023360
oct311525355570
976770762510
1027067276152
111052a854214
1252b4938b60
132724907647
14144ab559a0
15a86423a1c
hex64d55db78

27067276152 has 96 divisors (see below), whose sum is σ = 84004858080. Its totient is φ = 7712720640.

The previous prime is 27067276151. The next prime is 27067276169. The reversal of 27067276152 is 25167276072.

27067276152 is a `hidden beast` number, since 2 + 7 + 0 + 6 + 7 + 27 + 615 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 27067276098 and 27067276107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27067276151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116002 + ... + 259982.

It is an arithmetic number, because the mean of its divisors is an integer number (875050605).

Almost surely, 227067276152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27067276152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42002429040).

27067276152 is an abundant number, since it is smaller than the sum of its proper divisors (56937581928).

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

27067276152 is a wasteful number, since it uses less digits than its factorization.

27067276152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144373 (or 144366 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 27067276152 in words is "twenty-seven billion, sixty-seven million, two hundred seventy-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 373 504 746 1119 1492 2238 2611 2984 3357 4476 5222 6714 7833 8952 10444 13428 15666 20888 23499 26856 31332 46998 62664 93996 143981 187992 287962 431943 575924 863886 1007867 1151848 1295829 1727772 2015734 2591658 3023601 3455544 4031468 5183316 6047202 8062936 9070803 10366632 12094404 18141606 24188808 36283212 53704913 72566424 107409826 161114739 214819652 322229478 375934391 429639304 483344217 644458956 751868782 966688434 1127803173 1288917912 1503737564 1933376868 2255606346 3007475128 3383409519 3866753736 4511212692 6766819038 9022425384 13533638076 27067276152