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27141657426 = 232132312739709
BaseRepresentation
bin11001010001110001…
…001101001101010010
32121001112211001111100
4121101301031031102
5421041231014201
620245123525230
71650411165402
oct312161151522
977045731440
1027141657426
1110568837a44
125315829816
13273714b430
141456998802
15a8cc17886
hex651c4d352

27141657426 has 96 divisors (see below), whose sum is σ = 66606059520. Its totient is φ = 7925081472.

The previous prime is 27141657421. The next prime is 27141657437. The reversal of 27141657426 is 62475614172.

27141657426 is a `hidden beast` number, since 2 + 71 + 4 + 1 + 6 + 574 + 2 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (27141657421) 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, 663660 + ... + 703368.

It is an arithmetic number, because the mean of its divisors is an integer number (693813120).

Almost surely, 227141657426 is an apocalyptic number.

27141657426 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 27141657426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33303029760).

27141657426 is an abundant number, since it is smaller than the sum of its proper divisors (39464402094).

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

27141657426 is a wasteful number, since it uses less digits than its factorization.

27141657426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39880 (or 39877 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The spelling of 27141657426 in words is "twenty-seven billion, one hundred forty-one million, six hundred fifty-seven thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 23 26 39 46 69 78 117 127 138 207 234 254 299 381 414 598 762 897 1143 1651 1794 2286 2691 2921 3302 4953 5382 5842 8763 9906 14859 17526 26289 29718 37973 39709 52578 75946 79418 113919 119127 227838 238254 341757 357381 516217 683514 714762 913307 1032434 1548651 1826614 2739921 3097302 4645953 5043043 5479842 8219763 9291906 10086086 11872991 15129129 16439526 23745982 30258258 35618973 45387387 65559559 71237946 90774774 106856919 115989989 131119118 196678677 213713838 231979978 347969967 393357354 590036031 695939934 1043909901 1180072062 1507869857 2087819802 3015739714 4523609571 9047219142 13570828713 27141657426