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67373706740 = 22517412117881
BaseRepresentation
bin111110101111110010…
…010010110111110100
320102220101111220210212
4332233302102313310
52100440132103430
650541232204552
74603404025664
oct765762226764
9212811456725
1067373706740
112663377907a
1211083399758
1364792c9982
143391ccc1a4
151b44c89b95
hexfafc92df4

67373706740 has 72 divisors (see below), whose sum is σ = 153551678616. Its totient is φ = 24745369600.

The previous prime is 67373706739. The next prime is 67373706767. The reversal of 67373706740 is 4760737376.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 21736784356 + 45636922384 = 147434^2 + 213628^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 512600 + ... + 630480.

It is an arithmetic number, because the mean of its divisors is an integer number (2132662203).

Almost surely, 267373706740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67373706740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76775839308).

67373706740 is an abundant number, since it is smaller than the sum of its proper divisors (86177971876).

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

67373706740 is a wasteful number, since it uses less digits than its factorization.

67373706740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117989 (or 117946 counting only the distinct ones).

The product of its (nonzero) digits is 3111696, while the sum is 50.

The spelling of 67373706740 in words is "sixty-seven billion, three hundred seventy-three million, seven hundred six thousand, seven hundred forty".

Divisors: 1 2 4 5 10 17 20 34 41 68 82 85 164 170 205 340 410 697 820 1394 1681 2788 3362 3485 6724 6970 8405 13940 16810 28577 33620 57154 114308 117881 142885 235762 285770 471524 571540 589405 1178810 2003977 2357620 4007954 4833121 8015908 9666242 10019885 19332484 20039770 24165605 40079540 48331210 82163057 96662420 164326114 198157961 328652228 396315922 410815285 792631844 821630570 990789805 1643261140 1981579610 3368685337 3963159220 6737370674 13474741348 16843426685 33686853370 67373706740