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54216066456 = 23325953126491
BaseRepresentation
bin110010011111100001…
…111000010110011000
312011221102002112112100
4302133201320112120
51342013303111311
640523450243400
73626344650456
oct623741702630
9164842075470
1054216066456
1120aa16131a2
12a610a26560
1351603825c6
1428a46499d6
151624a99a56
hexc9f878598

54216066456 has 48 divisors (see below), whose sum is σ = 146861006760. Its totient is φ = 18068843520.

The previous prime is 54216066451. The next prime is 54216066467. The reversal of 54216066456 is 65466061245.

54216066456 is a `hidden beast` number, since 542 + 1 + 6 + 0 + 66 + 45 + 6 = 666.

54216066456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×542160664562 (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 (54216066451) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 365371 + ... + 491861.

Almost surely, 254216066456 is an apocalyptic number.

It is an amenable number.

54216066456 is an abundant number, since it is smaller than the sum of its proper divisors (92644940304).

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

54216066456 is a wasteful number, since it uses less digits than its factorization.

54216066456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132456 (or 132449 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 54216066456 in words is "fifty-four billion, two hundred sixteen million, sixty-six thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 5953 11906 17859 23812 35718 47624 53577 71436 107154 126491 142872 214308 252982 379473 428616 505964 758946 1011928 1138419 1517892 2276838 3035784 4553676 9107352 753000923 1506001846 2259002769 3012003692 4518005538 6024007384 6777008307 9036011076 13554016614 18072022152 27108033228 54216066456