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130675639446 = 233111913983299
BaseRepresentation
bin111100110110011100…
…0000000010010010110
3110111022000021021201000
41321230320000102112
54120110430430241
6140010452244130
712304156415442
oct1715470002226
9414260237630
10130675639446
1150467aa0040
12213ab010646
13c426b64aa1
146479101822
1535ec322eb6
hex1e6ce00496

130675639446 has 128 divisors (see below), whose sum is σ = 335865600000. Its totient is φ = 37244201760.

The previous prime is 130675639429. The next prime is 130675639463. The reversal of 130675639446 is 644936576031.

130675639446 is a `hidden beast` number, since 1 + 30 + 6 + 7 + 563 + 9 + 4 + 46 = 666.

It is an interprime number because it is at equal distance from previous prime (130675639429) and next prime (130675639463).

It is a super-2 number, since 2×1306756394462 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 130675639392 and 130675639401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1527105 + ... + 1610403.

It is an arithmetic number, because the mean of its divisors is an integer number (2623950000).

Almost surely, 2130675639446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130675639446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167932800000).

130675639446 is an abundant number, since it is smaller than the sum of its proper divisors (205189960554).

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

130675639446 is a wasteful number, since it uses less digits than its factorization.

130675639446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83479 (or 83473 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 130675639446 in words is "one hundred thirty billion, six hundred seventy-five million, six hundred thirty-nine thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 99 114 139 171 198 209 278 297 342 417 418 513 594 627 834 1026 1251 1254 1529 1881 2502 2641 3058 3753 3762 4587 5282 5643 7506 7923 9174 11286 13761 15846 23769 27522 29051 41283 47538 58102 71307 82566 83299 87153 142614 166598 174306 249897 261459 499794 522918 749691 784377 916289 1499382 1568754 1582681 1832578 2249073 2748867 3165362 4498146 4748043 5497734 8246601 9496086 11578561 14244129 16493202 17409491 23157122 24739803 28488258 34735683 34818982 42732387 49479606 52228473 69471366 85464774 104207049 104456946 127364171 156685419 208414098 219992659 254728342 312621147 313370838 382092513 439985318 470056257 625242294 659977977 764185026 940112514 1146277539 1319955954 1979933931 2292555078 2419919249 3438832617 3959867862 4839838498 5939801793 6877665234 7259757747 11879603586 14519515494 21779273241 43558546482 65337819723 130675639446