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427146868641724 = 227112947822085607
BaseRepresentation
bin110000100011111001110000…
…1010111110100111110111100
32002000101211201200221122000221
41201013303201113310332330
5421441333241333013344
64112244321255231124
7155654225413044340
oct14107634127647674
92060354650848027
10427146868641724
11114113a7371a320
123baa7b120784a4
1315445a13a5222a
14776a039651620
15345b10c403184
hex1847ce15f4fbc

427146868641724 has 48 divisors (see below), whose sum is σ = 964093245857280. Its totient is φ = 160682207636160.

The previous prime is 427146868641709. The next prime is 427146868641737.

427146868641724 is nontrivially palindromic in base 10.

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, 23911033872 + ... + 23911051735.

It is an arithmetic number, because the mean of its divisors is an integer number (20085275955360).

Almost surely, 2427146868641724 is an apocalyptic number.

427146868641724 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

427146868641724 is an abundant number, since it is smaller than the sum of its proper divisors (536946377215556).

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

427146868641724 is a wasteful number, since it uses less digits than its factorization.

427146868641724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47822085658 (or 47822085656 counting only the distinct ones).

The product of its digits is 693633024, while the sum is 70.

The spelling of 427146868641724 in words is "four hundred twenty-seven trillion, one hundred forty-six billion, eight hundred sixty-eight million, six hundred forty-one thousand, seven hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 29 44 58 77 116 154 203 308 319 406 638 812 1276 2233 4466 8932 47822085607 95644171214 191288342428 334754599249 526042941677 669509198498 1052085883354 1339018396996 1386840482603 2104171766708 2773680965206 3682300591739 5547361930412 7364601183478 9707883378221 14729202366956 15255245308633 19415766756442 30510490617266 38831533512884 61020981234532 106786717160431 213573434320862 427146868641724