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20362677450144 = 2531512635341103
BaseRepresentation
bin1001010000101000011100…
…01001111111010110100000
32200002122122000001220021020
410220110032021333112200
510132110230411401034
6111150252422325440
74201104062336121
oct450241611772640
980078560056236
1020362677450144
116540843626307
12234a50b589880
13b4926648c343
145057b7696048
15254a2ed76249
hex12850e27f5a0

20362677450144 has 96 divisors (see below), whose sum is σ = 54010610970624. Its totient is φ = 6716969875200.

The previous prime is 20362677450127. The next prime is 20362677450187. The reversal of 20362677450144 is 44105477626302.

It is a tau number, because it is divible by the number of its divisors (96).

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, 1141897 + ... + 6482999.

It is an arithmetic number, because the mean of its divisors is an integer number (562610530944).

Almost surely, 220362677450144 is an apocalyptic number.

20362677450144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20362677450144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27005305485312).

20362677450144 is an abundant number, since it is smaller than the sum of its proper divisors (33647933520480).

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

20362677450144 is a wasteful number, since it uses less digits than its factorization.

20362677450144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5341530 (or 5341522 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 51.

The spelling of 20362677450144 in words is "twenty trillion, three hundred sixty-two billion, six hundred seventy-seven million, four hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 151 263 302 453 526 604 789 906 1052 1208 1578 1812 2104 2416 3156 3624 4208 4832 6312 7248 8416 12624 14496 25248 39713 79426 119139 158852 238278 317704 476556 635408 953112 1270816 1906224 3812448 5341103 10682206 16023309 21364412 32046618 42728824 64093236 85457648 128186472 170915296 256372944 512745888 806506553 1404710089 1613013106 2419519659 2809420178 3226026212 4214130267 4839039318 5618840356 6452052424 8428260534 9678078636 11237680712 12904104848 16856521068 19356157272 22475361424 25808209696 33713042136 38712314544 44950722848 67426084272 77424629088 134852168544 212111223439 424222446878 636333670317 848444893756 1272667340634 1696889787512 2545334681268 3393779575024 5090669362536 6787559150048 10181338725072 20362677450144