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200162156561620 = 2251115730319191137
BaseRepresentation
bin101101100000101111100010…
…001111010100010011010100
3222020201022111211210212221221
4231200233202033110103110
5202213424044034432440
61545413120355220124
760106144556331421
oct5540574217242324
9866638454725857
10200162156561620
1158861326187140
121a5489252a7644
13878c29725b566
14375dc85b08d48
151821a25017d4a
hexb60be23d44d4

200162156561620 has 96 divisors (see below), whose sum is σ = 461491660869120. Its totient is φ = 72319868375040.

The previous prime is 200162156561603. The next prime is 200162156561621. The reversal of 200162156561620 is 26165651261002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200162156561621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1047122692 + ... + 1047313828.

It is an arithmetic number, because the mean of its divisors is an integer number (4807204800720).

Almost surely, 2200162156561620 is an apocalyptic number.

200162156561620 is a gapful number since it is divisible by the number (20) 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 200162156561620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230745830434560).

200162156561620 is an abundant number, since it is smaller than the sum of its proper divisors (261329504307500).

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

200162156561620 is a wasteful number, since it uses less digits than its factorization.

200162156561620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221633 (or 221631 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The spelling of 200162156561620 in words is "two hundred trillion, one hundred sixty-two billion, one hundred fifty-six million, five hundred sixty-one thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 157 220 314 628 785 1570 1727 3140 3454 6908 8635 17270 30319 34540 60638 121276 151595 191137 303190 333509 382274 606380 667018 764548 955685 1334036 1667545 1911370 2102507 3335090 3822740 4205014 4760083 6670180 8410028 9520166 10512535 19040332 21025070 23800415 30008509 42050140 47600830 52360913 60017018 95201660 104721826 120034036 150042545 209443652 261804565 300085090 330093599 523609130 600170180 660187198 1047218260 1320374396 1650467995 3300935990 5795082703 6601871980 11590165406 23180330812 28975413515 57950827030 63745909733 115901654060 127491819466 254983638932 318729548665 637459097330 909827984371 1274918194660 1819655968742 3639311937484 4549139921855 9098279843710 10008107828081 18196559687420 20016215656162 40032431312324 50040539140405 100081078280810 200162156561620