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67307282952 = 23371330818353
BaseRepresentation
bin111110101011110100…
…111010001000001000
320102201202112020111120
4332223310322020020
52100321131023302
650530500355240
74601636315430
oct765364721010
9212652466446
1067307282952
11265aa22a988
12110650a5b20
136468610b60
14338715b2c0
151b3e0189bc
hexfabd3a208

67307282952 has 64 divisors (see below), whose sum is σ = 207099338880. Its totient is φ = 17751370752.

The previous prime is 67307282899. The next prime is 67307282957. The reversal of 67307282952 is 25928270376.

67307282952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 67307282895 and 67307282904.

It is not an unprimeable number, because it can be changed into a prime (67307282957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15406993 + ... + 15411360.

It is an arithmetic number, because the mean of its divisors is an integer number (3235927170).

Almost surely, 267307282952 is an apocalyptic number.

It is an amenable number.

67307282952 is an abundant number, since it is smaller than the sum of its proper divisors (139792055928).

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

67307282952 is a wasteful number, since it uses less digits than its factorization.

67307282952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30818382 (or 30818378 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 67307282952 in words is "sixty-seven billion, three hundred seven million, two hundred eighty-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 30818353 61636706 92455059 123273412 184910118 215728471 246546824 369820236 400638589 431456942 647185413 739640472 801277178 862913884 1201915767 1294370826 1602554356 1725827768 2403831534 2588741652 2804470123 3205108712 4807663068 5177483304 5608940246 8413410369 9615326136 11217880492 16826820738 22435760984 33653641476 67307282952