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212056854768 = 24331144624759
BaseRepresentation
bin1100010101111110010…
…0101101000011110000
3202021100121101100221000
43011133210231003300
511433243023323033
6241230110202000
721214652345043
oct3053744550360
9667317340830
10212056854768
1181a29625690
12351214b3300
1316cc619c175
14a39949cc5a
1557b1bc5a13
hex315f92d0f0

212056854768 has 80 divisors (see below), whose sum is σ = 664016428800. Its totient is φ = 64259651520.

The previous prime is 212056854707. The next prime is 212056854781. The reversal of 212056854768 is 867458650212.

212056854768 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 568 + 5 + 4 + 76 + 8 = 666.

212056854768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22307628 + ... + 22317131.

It is an arithmetic number, because the mean of its divisors is an integer number (8300205360).

Almost surely, 2212056854768 is an apocalyptic number.

It is an amenable number.

212056854768 is an abundant number, since it is smaller than the sum of its proper divisors (451959574032).

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

212056854768 is a wasteful number, since it uses less digits than its factorization.

212056854768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44624787 (or 44624775 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 212056854768 in words is "two hundred twelve billion, fifty-six million, eight hundred fifty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 44624759 89249518 133874277 178499036 267748554 356998072 401622831 490872349 535497108 713996144 803245662 981744698 1070994216 1204868493 1472617047 1606491324 1963489396 2141988432 2409736986 2945234094 3212982648 3926978792 4417851141 4819473972 5890468188 6425965296 7853957584 8835702282 9638947944 11780936376 13253553423 17671404564 19277895888 23561872752 26507106846 35342809128 53014213692 70685618256 106028427384 212056854768