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27061512672 = 2534350313033
BaseRepresentation
bin11001001100111111…
…011110100111100000
32120211222000021120010
4121030333132213200
5420410221401142
620233142044520
71645416030255
oct311477364740
976758007503
1027061512672
1110527578007
1252b2a19740
13272366a1bc
14144a09542c
15a85b85e9c
hex64cfde9e0

27061512672 has 96 divisors (see below), whose sum is σ = 72838579968. Its totient is φ = 8792534016.

The previous prime is 27061512671. The next prime is 27061512733. The reversal of 27061512672 is 27621516072.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 27061512672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27061512671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2069868 + ... + 2082900.

It is an arithmetic number, because the mean of its divisors is an integer number (758735208).

Almost surely, 227061512672 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 27061512672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36419289984).

27061512672 is an abundant number, since it is smaller than the sum of its proper divisors (45777067296).

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

27061512672 is a wasteful number, since it uses less digits than its factorization.

27061512672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13592 (or 13584 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 27061512672 in words is "twenty-seven billion, sixty-one million, five hundred twelve thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 503 516 688 1006 1032 1376 1509 2012 2064 3018 4024 4128 6036 8048 12072 13033 16096 21629 24144 26066 39099 43258 48288 52132 64887 78198 86516 104264 129774 156396 173032 208528 259548 312792 346064 417056 519096 560419 625584 692128 1038192 1120838 1251168 1681257 2076384 2241676 3362514 4483352 6555599 6725028 8966704 13111198 13450056 17933408 19666797 26222396 26900112 39333594 52444792 53800224 78667188 104889584 157334376 209779168 281890757 314668752 563781514 629337504 845672271 1127563028 1691344542 2255126056 3382689084 4510252112 6765378168 9020504224 13530756336 27061512672