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212431264248 = 23372415246771
BaseRepresentation
bin1100010111010111100…
…0111101100111111000
3202022022200220100011210
43011311320331213320
511440024400423443
6241331203123120
721230146644630
oct3056570754770
9668280810153
10212431264248
1182100a02005
12352069734a0
1317055920838
14a3d30c16c0
1557d49d1c33
hex3175e3d9f8

212431264248 has 64 divisors (see below), whose sum is σ = 609465035520. Its totient is φ = 60442790400.

The previous prime is 212431264247. The next prime is 212431264271. The reversal of 212431264248 is 842462134212.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212431264247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2582898 + ... + 2663873.

It is an arithmetic number, because the mean of its divisors is an integer number (9522891180).

Almost surely, 2212431264248 is an apocalyptic number.

212431264248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

212431264248 is an abundant number, since it is smaller than the sum of its proper divisors (397033771272).

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

212431264248 is a wasteful number, since it uses less digits than its factorization.

212431264248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5247028 (or 5247024 counting only the distinct ones).

The product of its digits is 147456, while the sum is 39.

The spelling of 212431264248 in words is "two hundred twelve billion, four hundred thirty-one million, two hundred sixty-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 241 482 723 964 1446 1687 1928 2892 3374 5061 5784 6748 10122 13496 20244 40488 5246771 10493542 15740313 20987084 31480626 36727397 41974168 62961252 73454794 110182191 125922504 146909588 220364382 293819176 440728764 881457528 1264471811 2528943622 3793415433 5057887244 7586830866 8851302677 10115774488 15173661732 17702605354 26553908031 30347323464 35405210708 53107816062 70810421416 106215632124 212431264248