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45677344377654 = 23211230693658473
BaseRepresentation
bin10100110001011000101011…
…11000101100101100110110
312222201201012122222200012200
422120230111320230230312
521441334200130041104
6241051514325325330
712423036114032253
oct1230542570545466
9188651178880180
1045677344377654
11136107201058a0
1251586aa266846
131c644801a4862
14b3cb1c2c042a
1554328c55db39
hex298b15e2cb36

45677344377654 has 24 divisors (see below), whose sum is σ = 107964632165832. Its totient is φ = 13841619508320.

The previous prime is 45677344377523. The next prime is 45677344377671.

45677344377654 is a `hidden beast` number, since 4 + 5 + 6 + 7 + 73 + 4 + 437 + 76 + 54 = 666.

45677344377654 is nontrivially palindromic in base 10.

45677344377654 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 115346829039 + ... + 115346829434.

It is an arithmetic number, because the mean of its divisors is an integer number (4498526340243).

Almost surely, 245677344377654 is an apocalyptic number.

45677344377654 is an abundant number, since it is smaller than the sum of its proper divisors (62287287788178).

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

45677344377654 is a wasteful number, since it uses less digits than its factorization.

45677344377654 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230693658492 (or 230693658489 counting only the distinct ones).

The product of its digits is 4978713600, while the sum is 72.

The spelling of 45677344377654 in words is "forty-five trillion, six hundred seventy-seven billion, three hundred forty-four million, three hundred seventy-seven thousand, six hundred fifty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 230693658473 461387316946 692080975419 1384161950838 2076242926257 2537630243203 4152485852514 5075260486406 7612890729609 15225781459218 22838672188827 45677344377654