Search a number
-
+
27013150464 = 283167210619
BaseRepresentation
bin11001001010000110…
…111111011100000000
32120201121000020002020
4121022012333130000
5420310331303324
620224253321440
71644260663466
oct311206773400
976647006066
1027013150464
1110502245843
12529a796280
132716636401
1414438a6836
15a817d1679
hex64a1bf700

27013150464 has 72 divisors (see below), whose sum is σ = 72325223040. Its totient is φ = 8950422528.

The previous prime is 27013150457. The next prime is 27013150519. The reversal of 27013150464 is 46405131072.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22947 + ... + 233565.

Almost surely, 227013150464 is an apocalyptic number.

27013150464 is a gapful number since it is divisible by the number (24) 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 27013150464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36162611520).

27013150464 is an abundant number, since it is smaller than the sum of its proper divisors (45312072576).

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

27013150464 is a wasteful number, since it uses less digits than its factorization.

27013150464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210805 (or 210791 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 27013150464 in words is "twenty-seven billion, thirteen million, one hundred fifty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 167 192 256 334 384 501 668 768 1002 1336 2004 2672 4008 5344 8016 10688 16032 21376 32064 42752 64128 128256 210619 421238 631857 842476 1263714 1684952 2527428 3369904 5054856 6739808 10109712 13479616 20219424 26959232 35173373 40438848 53918464 70346746 80877696 105520119 140693492 161755392 211040238 281386984 422080476 562773968 844160952 1125547936 1688321904 2251095872 3376643808 4502191744 6753287616 9004383488 13506575232 27013150464