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27460163444 = 22717314145389
BaseRepresentation
bin11001100100110000…
…001101011101110100
32121212202010211121112
4121210300031131310
5422214300212234
620340502334152
71661326352360
oct314460153564
977782124545
1027460163444
111071160125a
1253a442a358
13278812862c
141486dc82a0
15aaab7eace
hex664c0d774

27460163444 has 96 divisors (see below), whose sum is σ = 61492193280. Its totient is φ = 10457395200.

The previous prime is 27460163411. The next prime is 27460163447. The reversal of 27460163444 is 44436106472.

It is a super-2 number, since 2×274601634442 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27460163447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 582302 + ... + 627690.

It is an arithmetic number, because the mean of its divisors is an integer number (640543680).

Almost surely, 227460163444 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 27460163444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30746096640).

27460163444 is an abundant number, since it is smaller than the sum of its proper divisors (34032029836).

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

27460163444 is a wasteful number, since it uses less digits than its factorization.

27460163444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45489 (or 45487 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 41.

The spelling of 27460163444 in words is "twenty-seven billion, four hundred sixty million, one hundred sixty-three thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 17 28 31 34 41 62 68 82 119 124 164 217 238 287 434 476 527 574 697 868 1054 1148 1271 1394 2108 2542 2788 3689 4879 5084 7378 8897 9758 14756 17794 19516 21607 35588 43214 45389 86428 90778 151249 181556 302498 317723 604996 635446 771613 1270892 1407059 1543226 1860949 2814118 3086452 3721898 5401291 5628236 7443796 9849413 10802582 13026643 19698826 21605164 23920003 26053286 31636133 39397652 47840006 52106572 57689419 63272266 95680012 115378838 126544532 167440021 221452931 230757676 334880042 403825933 442905862 669760084 807651866 885811724 980720123 1615303732 1961440246 3922880492 6865040861 13730081722 27460163444