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213344556672 = 2731342737291
BaseRepresentation
bin1100011010110001010…
…0111001011010000000
3202101200100102101212010
43012230110321122000
511443412201303142
6242001550132520
721261606545022
oct3065424713200
9671610371763
10213344556672
118252a493135
12354207b1140
131716cbbc560
14a47c4dc012
155839c86e9c
hex31ac539680

213344556672 has 64 divisors (see below), whose sum is σ = 610288529760. Its totient is φ = 65644477440.

The previous prime is 213344556661. The next prime is 213344556683. The reversal of 213344556672 is 276655443312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (213344556661) and next prime (213344556683).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21363654 + ... + 21373637.

Almost surely, 2213344556672 is an apocalyptic number.

It is an amenable number.

213344556672 is an abundant number, since it is smaller than the sum of its proper divisors (396943973088).

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

213344556672 is a wasteful number, since it uses less digits than its factorization.

213344556672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42737321 (or 42737309 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 48.

Adding to 213344556672 its reverse (276655443312), we get a palindrome (489999999984).

The spelling of 213344556672 in words is "two hundred thirteen billion, three hundred forty-four million, five hundred fifty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 42737291 85474582 128211873 170949164 256423746 341898328 512847492 555584783 683796656 1025694984 1111169566 1367593312 1666754349 2051389968 2222339132 2735186624 3333508698 4102779936 4444678264 5470373248 6667017396 8205559872 8889356528 13334034792 16411119744 17778713056 26668069584 35557426112 53336139168 71114852224 106672278336 213344556672