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54145222461 = 32112323779193
BaseRepresentation
bin110010011011010011…
…101000011100111101
312011202110210021211200
4302123103220130331
51341342134104321
640512440010113
73624524540301
oct623323503475
9164673707750
1054145222461
1120a65626040
12a5b1160939
13514b7a9895
142899087d01
15161d753d26
hexc9b4e873d

54145222461 has 24 divisors (see below), whose sum is σ = 89029302336. Its totient is φ = 31388533440.

The previous prime is 54145222459. The next prime is 54145222471. The reversal of 54145222461 is 16422254145.

54145222461 is a `hidden beast` number, since 54 + 1 + 4 + 522 + 24 + 61 = 666.

It is not a de Polignac number, because 54145222461 - 21 = 54145222459 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54145222471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11887320 + ... + 11891873.

It is an arithmetic number, because the mean of its divisors is an integer number (3709554264).

Almost surely, 254145222461 is an apocalyptic number.

It is an amenable number.

54145222461 is a deficient number, since it is larger than the sum of its proper divisors (34884079875).

54145222461 is a wasteful number, since it uses less digits than its factorization.

54145222461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23779233 (or 23779230 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The spelling of 54145222461 in words is "fifty-four billion, one hundred forty-five million, two hundred twenty-two thousand, four hundred sixty-one".

Divisors: 1 3 9 11 23 33 69 99 207 253 759 2277 23779193 71337579 214012737 261571123 546921439 784713369 1640764317 2354140107 4922292951 6016135829 18048407487 54145222461