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27068468832 = 2532431218069
BaseRepresentation
bin11001001101011010…
…000000111001100000
32120212110002200121200
4121031122000321200
5420414012000312
620233551121200
71645532121516
oct311532007140
976773080550
1027068468832
11105304992a9
1252b5213200
132724c34482
14144ad864b6
15a865ac0dc
hex64d680e60

27068468832 has 72 divisors (see below), whose sum is σ = 77154910560. Its totient is φ = 9001847040.

The previous prime is 27068468821. The next prime is 27068468881. The reversal of 27068468832 is 23886486072.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15094 + ... + 233162.

It is an arithmetic number, because the mean of its divisors is an integer number (1071595980).

Almost surely, 227068468832 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 27068468832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38577455280).

27068468832 is an abundant number, since it is smaller than the sum of its proper divisors (50086441728).

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

27068468832 is a wasteful number, since it uses less digits than its factorization.

27068468832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218516 (or 218505 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 27068468832 in words is "twenty-seven billion, sixty-eight million, four hundred sixty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 431 862 1293 1724 2586 3448 3879 5172 6896 7758 10344 13792 15516 20688 31032 41376 62064 124128 218069 436138 654207 872276 1308414 1744552 1962621 2616828 3489104 3925242 5233656 6978208 7850484 10467312 15700968 20934624 31401936 62803872 93987739 187975478 281963217 375950956 563926434 751901912 845889651 1127852868 1503803824 1691779302 2255705736 3007607648 3383558604 4511411472 6767117208 9022822944 13534234416 27068468832