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11958970248 = 233418455201
BaseRepresentation
bin10110010001100111…
…10110011110001000
31010212102220122010000
423020303312132020
5143442444021443
65254402123000
7602232366321
oct131063663610
933772818100
1011958970248
115087588395
122399050460
1311877ca374
148163bb448
1549ed688d3
hex2c8cf6788

11958970248 has 40 divisors (see below), whose sum is σ = 33496191630. Its totient is φ = 3986323200.

The previous prime is 11958970217. The next prime is 11958970259. The reversal of 11958970248 is 84207985911.

It is a happy number.

11958970248 is a `hidden beast` number, since 1 + 19 + 589 + 7 + 0 + 2 + 48 = 666.

11958970248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 11941681284 + 17288964 = 109278^2 + 4158^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 11958970194 and 11958970203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9226953 + ... + 9228248.

Almost surely, 211958970248 is an apocalyptic number.

11958970248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11958970248 is an abundant number, since it is smaller than the sum of its proper divisors (21537221382).

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

11958970248 is a wasteful number, since it uses less digits than its factorization.

11958970248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18455219 (or 18455206 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 11958970248 in words is "eleven billion, nine hundred fifty-eight million, nine hundred seventy thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 18455201 36910402 55365603 73820804 110731206 147641608 166096809 221462412 332193618 442924824 498290427 664387236 996580854 1328774472 1494871281 1993161708 2989742562 3986323416 5979485124 11958970248