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214848148482 = 232111085091659
BaseRepresentation
bin1100100000010111110…
…0101001010000000010
3202112120010200210001200
43020011330221100002
512010002111222412
6242411101242030
721344065062432
oct3100574512002
9675503623050
10214848148482
11831311a69a0
1235780263316
131734c56b656
14a5820982c2
1558c6c909dc
hex3205f29402

214848148482 has 24 divisors (see below), whose sum is σ = 507822896880. Its totient is φ = 65105499480.

The previous prime is 214848148441. The next prime is 214848148483. The reversal of 214848148482 is 284841848412.

214848148482 is a `hidden beast` number, since 2 + 1 + 4 + 8 + 4 + 81 + 484 + 82 = 666.

It is a super-2 number, since 2×2148481484822 (a number of 23 digits) contains 22 as substring.

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 (214848148483) 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, 542545632 + ... + 542546027.

It is an arithmetic number, because the mean of its divisors is an integer number (21159287370).

Almost surely, 2214848148482 is an apocalyptic number.

214848148482 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

214848148482 is an abundant number, since it is smaller than the sum of its proper divisors (292974748398).

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

214848148482 is a wasteful number, since it uses less digits than its factorization.

214848148482 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085091678 (or 1085091675 counting only the distinct ones).

The product of its digits is 4194304, while the sum is 54.

The spelling of 214848148482 in words is "two hundred fourteen billion, eight hundred forty-eight million, one hundred forty-eight thousand, four hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 1085091659 2170183318 3255274977 6510549954 9765824931 11936008249 19531649862 23872016498 35808024747 71616049494 107424074241 214848148482