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27293007357 = 32711172316697
BaseRepresentation
bin11001011010110010…
…100011110111111101
32121110002121102120100
4121122302203313331
5421344002213412
620312131511313
71654226510010
oct313262436775
977402542510
1027293007357
1110636211430
125358458539
13275c6008c5
14146cb15377
15a9b161edc
hex65aca3dfd

27293007357 has 48 divisors (see below), whose sum is σ = 52042303872. Its totient is φ = 13344168960.

The previous prime is 27293007353. The next prime is 27293007397. The reversal of 27293007357 is 75370039272.

27293007357 is a `hidden beast` number, since 2 + 7 + 293 + 0 + 0 + 7 + 357 = 666.

It is not a de Polignac number, because 27293007357 - 22 = 27293007353 is a prime.

It is a super-2 number, since 2×272930073572 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27293007353) 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, 1146568 + ... + 1170129.

It is an arithmetic number, because the mean of its divisors is an integer number (1084214664).

Almost surely, 227293007357 is an apocalyptic number.

It is an amenable number.

27293007357 is a deficient number, since it is larger than the sum of its proper divisors (24749296515).

27293007357 is a wasteful number, since it uses less digits than its factorization.

27293007357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2316738 (or 2316735 counting only the distinct ones).

The product of its (nonzero) digits is 555660, while the sum is 45.

The spelling of 27293007357 in words is "twenty-seven billion, two hundred ninety-three million, seven thousand, three hundred fifty-seven".

Divisors: 1 3 7 9 11 17 21 33 51 63 77 99 119 153 187 231 357 561 693 1071 1309 1683 3927 11781 2316697 6950091 16216879 20850273 25483667 39383849 48650637 76451001 118151547 145951911 178385669 229353003 275686943 354454641 433222339 535157007 827060829 1299667017 1605471021 2481182487 3032556373 3899001051 9097669119 27293007357