Search a number
-
+
27070246224 = 243378951801
BaseRepresentation
bin11001001101100000…
…110010110101010000
32120212120102222202000
4121031200302311100
5420414440334344
620234053154000
71645553203440
oct311540626520
976776388660
1027070246224
11105314a271a
1252b592b900
132725407498
14144b2ca120
15a8680da69
hex64d832d50

27070246224 has 80 divisors (see below), whose sum is σ = 88801875840. Its totient is φ = 7734355200.

The previous prime is 27070246201. The next prime is 27070246237. The reversal of 27070246224 is 42264207072.

27070246224 is a `hidden beast` number, since 2 + 7 + 0 + 7 + 0 + 24 + 622 + 4 = 666.

It is a super-3 number, since 3×270702462243 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4472877 + ... + 4478924.

It is an arithmetic number, because the mean of its divisors is an integer number (1110023448).

Almost surely, 227070246224 is an apocalyptic number.

27070246224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27070246224 is an abundant number, since it is smaller than the sum of its proper divisors (61731629616).

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

27070246224 is a wasteful number, since it uses less digits than its factorization.

27070246224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8951825 (or 8951813 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The spelling of 27070246224 in words is "twenty-seven billion, seventy million, two hundred forty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 8951801 17903602 26855403 35807204 53710806 62662607 71614408 80566209 107421612 125325214 143228816 161132418 187987821 214843224 241698627 250650428 322264836 375975642 429686448 483397254 501300856 563963463 644529672 751951284 966794508 1002601712 1127926926 1289059344 1503902568 1691890389 1933589016 2255853852 3007805136 3383780778 3867178032 4511707704 6767561556 9023415408 13535123112 27070246224