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20413152113364 = 223261101199462491
BaseRepresentation
bin1001010010000110011101…
…01011100011001011010100
32200021110220200001110102100
410221003032223203023110
510133422113420111424
6111225401141442100
74204541640031503
oct451031653431324
980243820043370
1020413152113364
11656019521a90a
122358257410330
13b50c4b68287a
1450800506483a
15255ed622bdc9
hex1290ceae32d4

20413152113364 has 144 divisors (see below), whose sum is σ = 53231349225600. Its totient is φ = 6593257440000.

The previous prime is 20413152113353. The next prime is 20413152113407. The reversal of 20413152113364 is 46331125131402.

20413152113364 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 315 + 2 + 1 + 1 + 336 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 43906159 + ... + 44368649.

It is an arithmetic number, because the mean of its divisors is an integer number (369662147400).

Almost surely, 220413152113364 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 20413152113364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26615674612800).

20413152113364 is an abundant number, since it is smaller than the sum of its proper divisors (32818197112236).

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

20413152113364 is a wasteful number, since it uses less digits than its factorization.

20413152113364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462862 (or 462857 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 20413152113364 its reverse (46331125131402), we get a palindrome (66744277244766).

The spelling of 20413152113364 in words is "twenty trillion, four hundred thirteen billion, one hundred fifty-two million, one hundred thirteen thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 61 101 122 183 199 202 244 303 366 398 404 549 597 606 732 796 909 1098 1194 1212 1791 1818 2196 2388 3582 3636 6161 7164 12139 12322 18483 20099 24278 24644 36417 36966 40198 48556 55449 60297 72834 73932 80396 109251 110898 120594 145668 180891 218502 221796 241188 361782 437004 462491 723564 924982 1226039 1387473 1849964 2452078 2774946 3678117 4162419 4904156 5549892 7356234 8324838 11034351 14712468 16649676 22068702 28211951 44137404 46711591 56423902 84635853 92035709 93423182 112847804 140134773 169271706 184071418 186846364 253907559 276107127 280269546 338543412 368142836 420404319 507815118 552214254 560539092 828321381 840808638 1015630236 1104428508 1656642762 1681617276 2849407051 3313285524 5614178249 5698814102 8548221153 9295606609 11228356498 11397628204 16842534747 17096442306 18591213218 22456712996 25644663459 27886819827 33685069494 34192884612 37182426436 50527604241 51289326918 55773639654 67370138988 83660459481 101055208482 102578653836 111547279308 167320918962 202110416964 334641837924 567032003149 1134064006298 1701096009447 2268128012596 3402192018894 5103288028341 6804384037788 10206576056682 20413152113364