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212452314480 = 2435572271823
BaseRepresentation
bin1100010111011100100…
…1010000110101110000
3202022101011111210200000
43011313021100311300
511440100243030410
6241333234230000
721230523606600
oct3056711206560
9668334453600
10212452314480
118211187a39a
1235211a25300
131705a0b0cb3
14a3d5c00c00
1557d678ddc0
hex3177250d70

212452314480 has 720 divisors, whose sum is σ = 864938640384. Its totient is φ = 48322552320.

The previous prime is 212452314469. The next prime is 212452314509. The reversal of 212452314480 is 84413254212.

212452314480 is a `hidden beast` number, since 2 + 12 + 4 + 523 + 1 + 44 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 258143349 + ... + 258144171.

Almost surely, 2212452314480 is an apocalyptic number.

212452314480 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 212452314480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432469320192).

212452314480 is an abundant number, since it is smaller than the sum of its proper divisors (652486325904).

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

212452314480 is a wasteful number, since it uses less digits than its factorization.

212452314480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 212452314480 its reverse (84413254212), we get a palindrome (296865568692).

The spelling of 212452314480 in words is "two hundred twelve billion, four hundred fifty-two million, three hundred fourteen thousand, four hundred eighty".