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27315114299856 = 2432653290487433
BaseRepresentation
bin1100011010111110010111…
…01011110101000111010000
310120201022002021120111101200
412031133023223311013100
512040012323230043411
6134032220144431200
75516310665444565
oct615371353650720
9116638067514350
1027315114299856
118781302a11889
123091a28618500
131231a5bb66556
146a60b6a9086c
153257dead4e56
hex18d7cbaf51d0

27315114299856 has 60 divisors (see below), whose sum is σ = 76561449079908. Its totient is φ = 9091094671872.

The previous prime is 27315114299833. The next prime is 27315114299923. The reversal of 27315114299856 is 65899241151372.

It is a happy number.

27315114299856 is a `hidden beast` number, since 2 + 7 + 3 + 1 + 511 + 4 + 29 + 98 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9107961843600 + 18207152456256 = 3017940^2 + 4266984^2 .

It is a super-2 number, since 2×273151142998562 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27315114299793 and 27315114299802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145149685 + ... + 145337748.

Almost surely, 227315114299856 is an apocalyptic number.

It is an amenable number.

27315114299856 is an abundant number, since it is smaller than the sum of its proper divisors (49246334780052).

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

27315114299856 is a wasteful number, since it uses less digits than its factorization.

27315114299856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290488100 (or 290488091 counting only the distinct ones).

The product of its digits is 32659200, while the sum is 63.

The spelling of 27315114299856 in words is "twenty-seven trillion, three hundred fifteen billion, one hundred fourteen million, two hundred ninety-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 653 1306 1959 2612 3918 5224 5877 7836 10448 11754 15672 23508 31344 47016 94032 290487433 580974866 871462299 1161949732 1742924598 2323899464 2614386897 3485849196 4647798928 5228773794 6971698392 10457547588 13943396784 20915095176 41830190352 189688293749 379376587498 569064881247 758753174996 1138129762494 1517506349992 1707194643741 2276259524988 3035012699984 3414389287482 4552519049976 6828778574964 9105038099952 13657557149928 27315114299856