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67202421642 = 23217375935561
BaseRepresentation
bin111110100101100100…
…111001001110001010
320102110110012201211100
4332211210321032022
52100112304443032
650512233042230
74566224105346
oct764544711612
9212413181740
1067202421642
1126556019044
1211035b56376
13644c987745
143377262626
151b34c0397c
hexfa593938a

67202421642 has 48 divisors (see below), whose sum is σ = 158337051912. Its totient is φ = 20513295360.

The previous prime is 67202421641. The next prime is 67202421647. The reversal of 67202421642 is 24612420276.

67202421642 is a `hidden beast` number, since 6 + 7 + 2 + 0 + 2 + 4 + 2 + 1 + 642 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 64486031481 + 2716390161 = 253941^2 + 52119^2 .

It is a junction number, because it is equal to n+sod(n) for n = 67202421597 and 67202421606.

It is not an unprimeable number, because it can be changed into a prime (67202421641) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2956459 + ... + 2979102.

Almost surely, 267202421642 is an apocalyptic number.

67202421642 is an abundant number, since it is smaller than the sum of its proper divisors (91134630270).

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

67202421642 is a wasteful number, since it uses less digits than its factorization.

67202421642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5935623 (or 5935620 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 67202421642 in words is "sixty-seven billion, two hundred two million, four hundred twenty-one thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 37 51 74 102 111 153 222 306 333 629 666 1258 1887 3774 5661 11322 5935561 11871122 17806683 35613366 53420049 100904537 106840098 201809074 219615757 302713611 439231514 605427222 658847271 908140833 1317694542 1816281666 1976541813 3733467869 3953083626 7466935738 11200403607 22400807214 33601210821 67202421642