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20377332016548 = 22313238937676857
BaseRepresentation
bin1001010001000011101111…
…01000101110010110100100
32200011001110022020000010220
410220201313220232112210
510132330233444012143
6111201114520444340
74202133166160403
oct450416750562644
980131408200126
1020377332016548
116546a83761a11
12235131b3196b0
13b4a760590800
145063a7a7b63a
152550db6a4d83
hex128877a2e5a4

20377332016548 has 144 divisors (see below), whose sum is σ = 51639508851840. Its totient is φ = 6251258237952.

The previous prime is 20377332016541. The next prime is 20377332016619. The reversal of 20377332016548 is 84561023377302.

It is a super-2 number, since 2×203773320165482 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20377332016548.

It is not an unprimeable number, because it can be changed into a prime (20377332016541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2971752736 + ... + 2971759592.

It is an arithmetic number, because the mean of its divisors is an integer number (358607700360).

Almost surely, 220377332016548 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 20377332016548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25819754425920).

20377332016548 is an abundant number, since it is smaller than the sum of its proper divisors (31262176835292).

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

20377332016548 is a wasteful number, since it uses less digits than its factorization.

20377332016548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11046 (or 11031 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 51.

The spelling of 20377332016548 in words is "twenty trillion, three hundred seventy-seven billion, three hundred thirty-two million, sixteen thousand, five hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 389 507 676 778 1014 1167 1556 2028 2334 3767 4668 5057 6857 7534 10114 11301 13714 15068 15171 20228 20571 22602 27428 30342 41142 45204 48971 60684 65741 82284 89141 97942 131482 146913 178282 195884 197223 262964 267423 293826 356564 394446 534846 587652 636623 788892 1069692 1158833 1273246 1465363 1909869 2317666 2546492 2667373 2930726 3476499 3819738 4396089 4635332 5334746 5861452 6952998 7639476 8002119 8792178 10669492 13905996 16004238 17584356 19049719 25830319 32008476 34675849 38099438 51660638 57149157 69351698 76198876 77490957 103321276 104027547 114298314 138703396 154981914 208055094 228596628 247646347 309963828 335794147 416110188 450786037 495292694 671588294 742939041 901572074 990585388 1007382441 1343176588 1352358111 1485878082 1803144148 2014764882 2704716222 2971756164 4029529764 4365323911 5409432444 8730647822 10047994091 13095971733 17461295644 20095988182 26191943466 30143982273 40191976364 52383886932 60287964546 120575929092 130623923183 261247846366 391871769549 522495692732 783743539098 1567487078196 1698111001379 3396222002758 5094333004137 6792444005516 10188666008274 20377332016548