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212713333740 = 22345379913581
BaseRepresentation
bin1100011000011010110…
…0111110001111101100
3202100001100122221210000
43012012230332033230
511441114103134430
6241415200544300
721240143334645
oct3060654761754
9670040587700
10212713333740
1182236149a96
1235285322090
131709c1b116b
14a41c7486cc
1557ee64ce60
hex3186b3e3ec

212713333740 has 240 divisors, whose sum is σ = 686207579904. Its totient is φ = 55119398400.

The previous prime is 212713333709. The next prime is 212713333741. The reversal of 212713333740 is 47333317212.

212713333740 is a `hidden beast` number, since 21 + 271 + 33 + 337 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 212713333695 and 212713333704.

It is not an unprimeable number, because it can be changed into a prime (212713333741) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 59398750 + ... + 59402330.

Almost surely, 2212713333740 is an apocalyptic number.

212713333740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212713333740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343103789952).

212713333740 is an abundant number, since it is smaller than the sum of its proper divisors (473494246164).

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

212713333740 is a wasteful number, since it uses less digits than its factorization.

212713333740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4630 (or 4619 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The spelling of 212713333740 in words is "two hundred twelve billion, seven hundred thirteen million, three hundred thirty-three thousand, seven hundred forty".