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210055697424 = 24321458720121
BaseRepresentation
bin1100001110100001001…
…0111001010000010000
3202002012010212001010100
43003220102321100100
511420143224304144
6240255342332400
721114242653056
oct3035022712020
9662163761110
10210055697424
11810a1a68541
123486328a100
1316a6770b0b1
14a2497c21d6
1556e6185269
hex30e84b9410

210055697424 has 30 divisors (see below), whose sum is σ = 587864209166. Its totient is φ = 70018565760.

The previous prime is 210055697393. The next prime is 210055697431. The reversal of 210055697424 is 424796550012.

210055697424 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 556 + 9 + 74 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 190123905024 + 19931792400 = 436032^2 + 141180^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 210055697424.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 729359917 + ... + 729360204.

Almost surely, 2210055697424 is an apocalyptic number.

210055697424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

210055697424 is an abundant number, since it is smaller than the sum of its proper divisors (377808511742).

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

210055697424 is a wasteful number, since it uses less digits than its factorization.

210055697424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458720135 (or 1458720126 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 210055697424 in words is "two hundred ten billion, fifty-five million, six hundred ninety-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1458720121 2917440242 4376160363 5834880484 8752320726 11669760968 13128481089 17504641452 23339521936 26256962178 35009282904 52513924356 70018565808 105027848712 210055697424