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13022828094852 = 2235711671129963
BaseRepresentation
bin1011110110000001110100…
…0010101110010110000100
31201002222012021120220100000
42331200131002232112010
53201331222443013402
643410334333521300
72512603551245652
oct275403502562604
951088167526300
1013022828094852
114170a4aa56294
121563ab2943230
13736080249054
14330445b65dd2
15178b4883bc1c
hexbd81d0ae584

13022828094852 has 144 divisors (see below), whose sum is σ = 34826177498112. Its totient is φ = 4254171334560.

The previous prime is 13022828094847. The next prime is 13022828094901. The reversal of 13022828094852 is 25849082822031.

13022828094852 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 2 + 82 + 80 + 9 + 485 + 2 = 666.

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

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, 10960023 + ... + 12089985.

It is an arithmetic number, because the mean of its divisors is an integer number (241848454848).

Almost surely, 213022828094852 is an apocalyptic number.

13022828094852 is a gapful number since it is divisible by the number (12) 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 13022828094852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17413088749056).

13022828094852 is an abundant number, since it is smaller than the sum of its proper divisors (21803349403260).

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

13022828094852 is a wasteful number, since it uses less digits than its factorization.

13022828094852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130220 (or 1130206 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 13022828094852 in words is "thirteen trillion, twenty-two billion, eight hundred twenty-eight million, ninety-four thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 81 108 142 162 167 213 243 284 324 334 426 486 501 639 668 852 972 1002 1278 1503 1917 2004 2556 3006 3834 4509 5751 6012 7668 9018 11502 11857 13527 17253 18036 23004 23714 27054 34506 35571 40581 47428 54108 69012 71142 81162 106713 142284 162324 213426 320139 426852 640278 960417 1129963 1280556 1920834 2259926 2881251 3389889 3841668 4519852 5762502 6779778 10169667 11525004 13559556 20339334 30509001 40678668 61018002 80227373 91527003 122036004 160454746 183054006 188703821 240682119 274581009 320909492 366108012 377407642 481364238 549162018 566111463 722046357 754815284 962728476 1098324036 1132222926 1444092714 1698334389 2166139071 2264445852 2888185428 3396668778 4332278142 5095003167 6498417213 6793337556 8664556284 10190006334 12996834426 13397971291 15285009501 19495251639 20380012668 25993668852 26795942582 30570019002 38990503278 40193913873 45855028503 53591885164 61140038004 77981006556 80387827746 91710057006 120581741619 160775655492 183420114012 241163483238 361745224857 482326966476 723490449714 1085235674571 1446980899428 2170471349142 3255707023713 4340942698284 6511414047426 13022828094852