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54268630460 = 225111714510329
BaseRepresentation
bin110010100010101010…
…011001010110111100
312012002002000001210022
4302202222121112330
51342120232133320
640533005031312
73630553514342
oct624252312674
9165062001708
1054268630460
1121019255320
12a626555538
13516b227a75
1428ab60d992
1516294ce325
hexca2a995bc

54268630460 has 48 divisors (see below), whose sum is σ = 131637713760. Its totient is φ = 18573219840.

The previous prime is 54268630457. The next prime is 54268630463. The reversal of 54268630460 is 6403686245.

54268630460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54268630457) and next prime (54268630463).

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54268630463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7251425 + ... + 7258904.

It is an arithmetic number, because the mean of its divisors is an integer number (2742452370).

Almost surely, 254268630460 is an apocalyptic number.

It is an amenable number.

54268630460 is an abundant number, since it is smaller than the sum of its proper divisors (77369083300).

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

54268630460 is a wasteful number, since it uses less digits than its factorization.

54268630460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14510366 (or 14510364 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 44.

The spelling of 54268630460 in words is "fifty-four billion, two hundred sixty-eight million, six hundred thirty thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 3740 14510329 29020658 58041316 72551645 145103290 159613619 246675593 290206580 319227238 493351186 638454476 798068095 986702372 1233377965 1596136190 2466755930 2713431523 3192272380 4933511860 5426863046 10853726092 13567157615 27134315230 54268630460