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27438608052 = 22324328163079
BaseRepresentation
bin11001100011011101…
…111110111010110100
32121211020120201011200
4121203131332322310
5422143240424202
620334412332500
71660645214562
oct314335767264
977736521150
1027438608052
1110700419389
125399174130
13278381c26b
1414841b6a32
15aa8d22e1c
hex66377eeb4

27438608052 has 72 divisors (see below), whose sum is σ = 71225394240. Its totient is φ = 8901567360.

The previous prime is 27438607979. The next prime is 27438608053. The reversal of 27438608052 is 25080683472.

27438608052 is a `hidden beast` number, since 2 + 7 + 4 + 38 + 608 + 0 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 27438607989 and 27438608007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27438608053) 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, 403449 + ... + 466527.

Almost surely, 227438608052 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 27438608052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35612697120).

27438608052 is an abundant number, since it is smaller than the sum of its proper divisors (43786786188).

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

27438608052 is a wasteful number, since it uses less digits than its factorization.

27438608052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63413 (or 63408 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 27438608052 in words is "twenty-seven billion, four hundred thirty-eight million, six hundred eight thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 281 387 516 562 774 843 1124 1548 1686 2529 3372 5058 10116 12083 24166 36249 48332 63079 72498 108747 126158 144996 189237 217494 252316 378474 434988 567711 756948 1135422 2270844 2712397 5424794 8137191 10849588 16274382 17725199 24411573 32548764 35450398 48823146 53175597 70900796 97646292 106351194 159526791 212702388 319053582 638107164 762183557 1524367114 2286550671 3048734228 4573101342 6859652013 9146202684 13719304026 27438608052