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137418744366 = 232371972833701
BaseRepresentation
bin111111111111011001…
…0111010001000101110
3111010200221121111200200
41333332302322020232
54222413144304431
6143043532334330
712633236024451
oct1777662721056
9433627544620
10137418744366
1153308331622
12227713143a6
13cc5cb82ab7
1469188a9498
1538942e4ee6
hex1ffecba22e

137418744366 has 96 divisors (see below), whose sum is σ = 308509220448. Its totient is φ = 44173382400.

The previous prime is 137418744349. The next prime is 137418744377. The reversal of 137418744366 is 663447814731.

It is a happy number.

137418744366 is a `hidden beast` number, since 13 + 7 + 4 + 187 + 443 + 6 + 6 = 666.

It is a super-2 number, since 2×1374187443662 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37128316 + ... + 37132016.

It is an arithmetic number, because the mean of its divisors is an integer number (3213637713).

Almost surely, 2137418744366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137418744366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154254610224).

137418744366 is an abundant number, since it is smaller than the sum of its proper divisors (171090476082).

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

137418744366 is a wasteful number, since it uses less digits than its factorization.

137418744366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4226 (or 4223 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The spelling of 137418744366 in words is "one hundred thirty-seven billion, four hundred eighteen million, seven hundred forty-four thousand, three hundred sixty-six".

Divisors: 1 2 3 6 9 18 37 74 111 197 222 283 333 394 566 591 666 849 1182 1698 1773 2547 3546 3701 5094 7289 7402 10471 11103 14578 20942 21867 22206 31413 33309 43734 55751 62826 65601 66618 94239 111502 131202 136937 167253 188478 273874 334506 410811 501759 729097 821622 1003518 1047383 1232433 1458194 2062787 2094766 2187291 2464866 3142149 4125574 4374582 6188361 6284298 6561873 9426447 12376722 13123746 18565083 18852894 26976589 37130166 38753171 53953178 77506342 80929767 116259513 161859534 206334451 232519026 242789301 348778539 412668902 485578602 619003353 697557078 1238006706 1857010059 3714020118 7634374687 15268749374 22903124061 45806248122 68709372183 137418744366