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2005551114336 = 253271190437911
BaseRepresentation
bin11101001011110100001…
…010010110100001100000
321002201200022020200021100
4131023310022112201200
5230324332041124321
64133200520354400
7264616266124620
oct35136412264140
97081608220240
102005551114336
11703605357190
12284833015a00
13117179633703
146d0d7c10880
15372804e7326
hex1d2f4296860

2005551114336 has 144 divisors (see below), whose sum is σ = 7110590393088. Its totient is φ = 520922361600.

The previous prime is 2005551114313. The next prime is 2005551114361. The reversal of 2005551114336 is 6334111555002.

2005551114336 is a `hidden beast` number, since 20 + 0 + 5 + 551 + 11 + 43 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2005551114336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45196780 + ... + 45241131.

It is an arithmetic number, because the mean of its divisors is an integer number (49379099952).

Almost surely, 22005551114336 is an apocalyptic number.

It is an amenable number.

2005551114336 is an abundant number, since it is smaller than the sum of its proper divisors (5105039278752).

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

2005551114336 is a wasteful number, since it uses less digits than its factorization.

2005551114336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90437945 (or 90437934 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 2005551114336 its reverse (6334111555002), we get a palindrome (8339662669338).

The spelling of 2005551114336 in words is "two trillion, five billion, five hundred fifty-one million, one hundred fourteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 66 72 77 84 88 96 99 112 126 132 144 154 168 176 198 224 231 252 264 288 308 336 352 396 462 504 528 616 672 693 792 924 1008 1056 1232 1386 1584 1848 2016 2464 2772 3168 3696 5544 7392 11088 22176 90437911 180875822 271313733 361751644 542627466 633065377 723503288 813941199 994817021 1085254932 1266130754 1447006576 1627882398 1899196131 1989634042 2170509864 2532261508 2894013152 2984451063 3255764796 3798392262 3979268084 4341019728 5064523016 5697588393 5968902126 6511529592 6963719147 7596784524 7958536168 8682039456 8953353189 10129046032 11395176786 11937804252 13023059184 13927438294 15193569048 15917072336 17906706378 20258092064 20891157441 22790353572 23875608504 26046118368 27854876588 30387138096 31834144672 35813412756 41782314882 45580707144 47751217008 55709753176 60774276192 62673472323 71626825512 83564629764 91161414288 95502434016 111419506352 125346944646 143253651024 167129259528 182322828576 222839012704 250693889292 286507302048 334258519056 501387778584 668517038112 1002775557168 2005551114336