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55347674355 = 3352914137337
BaseRepresentation
bin110011100010111110…
…100111110011110011
312021212021102011202000
4303202332213303303
51401323001034410
641232032425043
73666365320041
oct634276476363
9167767364660
1055347674355
1121522356a36
12a8879a8183
1352b094c08c
142970a55391
15168e0c5dc0
hexce2fa7cf3

55347674355 has 32 divisors (see below), whose sum is σ = 101788833600. Its totient is φ = 28500869376.

The previous prime is 55347674281. The next prime is 55347674359.

55347674355 is a `hidden beast` number, since 5 + 53 + 476 + 74 + 3 + 55 = 666.

55347674355 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 55347674355 - 27 = 55347674227 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (55347674359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7064754 + ... + 7072583.

It is an arithmetic number, because the mean of its divisors is an integer number (3180901050).

Almost surely, 255347674355 is an apocalyptic number.

55347674355 is a deficient number, since it is larger than the sum of its proper divisors (46441159245).

55347674355 is a wasteful number, since it uses less digits than its factorization.

55347674355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14137380 (or 14137374 counting only the distinct ones).

The product of its digits is 26460000, while the sum is 54.

The spelling of 55347674355 in words is "fifty-five billion, three hundred forty-seven million, six hundred seventy-four thousand, three hundred fifty-five".

Divisors: 1 3 5 9 15 27 29 45 87 135 145 261 435 783 1305 3915 14137337 42412011 70686685 127236033 212060055 381708099 409982773 636180165 1229948319 1908540495 2049913865 3689844957 6149741595 11069534871 18449224785 55347674355