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2130778281024 = 26341492758589
BaseRepresentation
bin11111000000011100010…
…010000101010001000000
321112200220121020212110000
4133000130102011101000
5234402313214443044
64310511021240000
7306641446360221
oct37003422052100
97480817225400
102130778281024
11751726876a78
122a4b61403000
13125c15756103
14751b746d248
153a65e327d69
hex1f01c485440

2130778281024 has 140 divisors (see below), whose sum is σ = 6358687879500. Its totient is φ = 705492329472.

The previous prime is 2130778281019. The next prime is 2130778281041. The reversal of 2130778281024 is 4201828770312.

It can be written as a sum of positive squares in 2 ways, for example, as 587319911424 + 1543458369600 = 766368^2 + 1242360^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 606879 + ... + 2151710.

Almost surely, 22130778281024 is an apocalyptic number.

2130778281024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2130778281024 is an abundant number, since it is smaller than the sum of its proper divisors (4227909598476).

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

2130778281024 is a wasteful number, since it uses less digits than its factorization.

2130778281024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2758762 (or 2758743 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 2130778281024 in words is "two trillion, one hundred thirty billion, seven hundred seventy-eight million, two hundred eighty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 149 162 192 216 288 298 324 432 447 576 596 648 864 894 1192 1296 1341 1728 1788 2384 2592 2682 3576 4023 4768 5184 5364 7152 8046 9536 10728 12069 14304 16092 21456 24138 28608 32184 42912 48276 64368 85824 96552 128736 193104 257472 386208 772416 2758589 5517178 8275767 11034356 16551534 22068712 24827301 33103068 44137424 49654602 66206136 74481903 88274848 99309204 132412272 148963806 176549696 198618408 223445709 264824544 297927612 397236816 411029761 446891418 529649088 595855224 794473632 822059522 893782836 1191710448 1233089283 1588947264 1644119044 1787565672 2383420896 2466178566 3288238088 3575131344 3699267849 4766841792 4932357132 6576476176 7150262688 7398535698 9864714264 11097803547 13152952352 14300525376 14797071396 19729428528 22195607094 26305904704 29594142792 33293410641 39458857056 44391214188 59188285584 66586821282 78917714112 88782428376 118376571168 133173642564 177564856752 236753142336 266347285128 355129713504 532694570256 710259427008 1065389140512 2130778281024