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27374045160460 = 22529413733086159
BaseRepresentation
bin1100011100101100001000…
…01111001110010000001100
310120220221012021101101121111
412032112010033032100030
512041444021030113320
6134115243541341404
75523465233501035
oct616260417162014
9116827167341544
1027374045160460
1187a42a3942669
1230a1334407864
131237490c5967b
146a8ca7559a8c
153270dd54aa5a
hex18e5843ce40c

27374045160460 has 96 divisors (see below), whose sum is σ = 61081525612800. Its totient is φ = 10286534952960.

The previous prime is 27374045160437. The next prime is 27374045160463. The reversal of 27374045160460 is 6406154047372.

It is not an unprimeable number, because it can be changed into a prime (27374045160463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7326861 + ... + 10413019.

It is an arithmetic number, because the mean of its divisors is an integer number (636265891800).

Almost surely, 227374045160460 is an apocalyptic number.

27374045160460 is a gapful number since it is divisible by the number (20) 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 27374045160460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30540762806400).

27374045160460 is an abundant number, since it is smaller than the sum of its proper divisors (33707480452340).

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

27374045160460 is a wasteful number, since it uses less digits than its factorization.

27374045160460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3086611 (or 3086609 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 49.

The spelling of 27374045160460 in words is "twenty-seven trillion, three hundred seventy-four billion, forty-five million, one hundred sixty thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 29 41 58 82 116 145 164 205 290 373 410 580 746 820 1189 1492 1865 2378 3730 4756 5945 7460 10817 11890 15293 21634 23780 30586 43268 54085 61172 76465 108170 152930 216340 305860 443497 886994 1773988 2217485 3086159 4434970 6172318 8869940 12344636 15430795 30861590 61723180 89498611 126532519 178997222 253065038 357994444 447493055 506130076 632662595 894986110 1151137307 1265325190 1789972220 2302274614 2530650380 3669443051 4604549228 5755686535 7338886102 11511373070 14677772204 18347215255 23022746140 33382981903 36694430510 47196629587 66765963806 73388861020 94393259174 133531927612 166914909515 188786518348 235983147935 333829819030 471966295870 667659638060 943932591740 1368702258023 2737404516046 5474809032092 6843511290115 13687022580230 27374045160460