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136958003248 = 24116157722109
BaseRepresentation
bin111111110001101010…
…1010100100000110000
3111002111211122102200211
41333203111110200300
54220442222100443
6142530113153504
712615642551053
oct1774325244060
9432454572624
10136958003248
11530a1249a40
1222662b5b894
13cbb8595111
1468b3612a9a
153868b3419d
hex1fe3554830

136958003248 has 80 divisors (see below), whose sum is σ = 294748233120. Its totient is φ = 61124198400.

The previous prime is 136958003233. The next prime is 136958003339. The reversal of 136958003248 is 842300859631.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6183618 + ... + 6205726.

It is an arithmetic number, because the mean of its divisors is an integer number (3684352914).

Almost surely, 2136958003248 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 136958003248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147374116560).

136958003248 is an abundant number, since it is smaller than the sum of its proper divisors (157790229872).

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

136958003248 is a wasteful number, since it uses less digits than its factorization.

136958003248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22766 (or 22760 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

The spelling of 136958003248 in words is "one hundred thirty-six billion, nine hundred fifty-eight million, three thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 44 61 88 122 176 244 488 577 671 976 1154 1342 2308 2684 4616 5368 6347 9232 10736 12694 22109 25388 35197 44218 50776 70394 88436 101552 140788 176872 243199 281576 353744 387167 486398 563152 774334 972796 1348649 1548668 1945592 2697298 3097336 3891184 5394596 6194672 10789192 12756893 14835139 21578384 25513786 29670278 51027572 59340556 102055144 118681112 140325823 204110288 237362224 280651646 561303292 778170473 1122606584 1556340946 2245213168 3112681892 6225363784 8559875203 12450727568 17119750406 34239500812 68479001624 136958003248