Search a number
-
+
427160267478 = 232737811112979
BaseRepresentation
bin1100011011101001011…
…11000110101011010110
31111211120112101220200100
412031310233012223112
523444311012024403
6524122410554530
742601300236210
oct6156457065326
91454515356610
10427160267478
1115518092034a
126a953138a46
13313865a4329
14169634035b0
15b1a108a2a3
hex6374bc6ad6

427160267478 has 96 divisors (see below), whose sum is σ = 1087666594560. Its totient is φ = 118599785280.

The previous prime is 427160267473. The next prime is 427160267497. The reversal of 427160267478 is 874762061724.

427160267478 is a `hidden beast` number, since 4 + 2 + 7 + 160 + 2 + 6 + 7 + 478 = 666.

It is a super-2 number, since 2×4271602674782 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427160267473) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3724393 + ... + 3837371.

It is an arithmetic number, because the mean of its divisors is an integer number (11329860360).

Almost surely, 2427160267478 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427160267478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543833297280).

427160267478 is an abundant number, since it is smaller than the sum of its proper divisors (660506327082).

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

427160267478 is a wasteful number, since it uses less digits than its factorization.

427160267478 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113842 (or 113839 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 427160267478 in words is "four hundred twenty-seven billion, one hundred sixty million, two hundred sixty-seven thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 111 126 222 259 333 518 666 777 811 1554 1622 2331 2433 4662 4866 5677 7299 11354 14598 17031 30007 34062 51093 60014 90021 102186 112979 180042 210049 225958 270063 338937 420098 540126 630147 677874 790853 1016811 1260294 1581706 1890441 2033622 2372559 3780882 4180223 4745118 7117677 8360446 12540669 14235354 25081338 29261561 37622007 58523122 75244014 87784683 91625969 175569366 183251938 263354049 274877907 526708098 549755814 641381783 824633721 1282763566 1649267442 1924145349 3390160853 3848290698 5772436047 6780321706 10170482559 11544872094 20340965118 23731125971 30511447677 47462251942 61022895354 71193377913 142386755826 213580133739 427160267478