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27131540706 = 2334394492549
BaseRepresentation
bin11001010001001010…
…100111010011100010
32121000211210001222000
4121101022213103202
5421031133300311
620244123024430
71650226201524
oct312112472342
977024701860
1027131540706
1110563058116
12531236b116
1327350186ca
1414554c3a14
15a8bdba056
hex6512a74e2

27131540706 has 64 divisors (see below), whose sum is σ = 60588000000. Its totient is φ = 8999617536.

The previous prime is 27131540651. The next prime is 27131540717. The reversal of 27131540706 is 60704513172.

It is a happy number.

27131540706 is a `hidden beast` number, since 271 + 315 + 4 + 0 + 70 + 6 = 666.

It is a super-2 number, since 2×271315407062 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10642720 + ... + 10645268.

It is an arithmetic number, because the mean of its divisors is an integer number (946687500).

Almost surely, 227131540706 is an apocalyptic number.

27131540706 is an abundant number, since it is smaller than the sum of its proper divisors (33456459294).

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

27131540706 is a wasteful number, since it uses less digits than its factorization.

27131540706 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3448 (or 3442 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 27131540706 in words is "twenty-seven billion, one hundred thirty-one million, five hundred forty thousand, seven hundred six".

Divisors: 1 2 3 6 9 18 27 54 439 449 878 898 1317 1347 2549 2634 2694 3951 4041 5098 7647 7902 8082 11853 12123 15294 22941 23706 24246 45882 68823 137646 197111 394222 591333 1119011 1144501 1182666 1773999 2238022 2289002 3357033 3433503 3547998 5321997 6714066 6867006 10071099 10300509 10643994 20142198 20601018 30213297 30901527 60426594 61803054 502435939 1004871878 1507307817 3014615634 4521923451 9043846902 13565770353 27131540706