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212058975346344 = 233272118263241327
BaseRepresentation
bin110000001101110111010011…
…111001011001111010101000
31000210211122021121020011112200
4300031313103321121322220
5210243333240142040334
62031002314241540200
762444520044443350
oct6015672371317250
91023748247204480
10212058975346344
1161628785242805
121b94a549944660
1391430ca0490b9
143a519cdd6bb60
15197b2197b1799
hexc0ddd3e59ea8

212058975346344 has 192 divisors, whose sum is σ = 659566336266240. Its totient is φ = 60293582858880.

The previous prime is 212058975346307. The next prime is 212058975346349. The reversal of 212058975346344 is 443643579850212.

212058975346344 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 5 + 8 + 97 + 534 + 6 + 3 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (212058975346349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 878599809 + ... + 878841135.

It is an arithmetic number, because the mean of its divisors is an integer number (3435241334720).

It is a 1-persistent number, because it is pandigital, but 2⋅212058975346344 = 424117950692688 is not.

Almost surely, 2212058975346344 is an apocalyptic number.

212058975346344 is a gapful number since it is divisible by the number (24) 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 212058975346344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329783168133120).

212058975346344 is an abundant number, since it is smaller than the sum of its proper divisors (447507360919896).

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

212058975346344 is a wasteful number, since it uses less digits than its factorization.

212058975346344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249820 (or 249813 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 212058975346344 in words is "two hundred twelve trillion, fifty-eight billion, nine hundred seventy-five million, three hundred forty-six thousand, three hundred forty-four".