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2000220913872 = 2432137101389949
BaseRepresentation
bin11101000110110110011…
…101010000000011010000
321002012220211112102211100
4131012312131100003100
5230232423023220442
64130515551544400
7264340224145566
oct35066635200320
97065824472740
102000220913872
1170131a618735
122837a5b2b100
1311680a261a3c
146cb4dd57a36
153706c5b884c
hex1d1b67500d0

2000220913872 has 60 divisors (see below), whose sum is σ = 5638700679300. Its totient is φ = 661873580544.

The previous prime is 2000220913871. The next prime is 2000220913891. The reversal of 2000220913872 is 2783190220002.

It can be written as a sum of positive squares in 2 ways, for example, as 490330455696 + 1509890458176 = 700236^2 + 1228776^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000220913871) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50675247 + ... + 50714702.

It is an arithmetic number, because the mean of its divisors is an integer number (93978344655).

Almost surely, 22000220913872 is an apocalyptic number.

It is an amenable number.

2000220913872 is an abundant number, since it is smaller than the sum of its proper divisors (3638479765428).

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

2000220913872 is a wasteful number, since it uses less digits than its factorization.

2000220913872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101390100 (or 101390091 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 2000220913872 in words is "two trillion, two hundred twenty million, nine hundred thirteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 137 144 274 411 548 822 1096 1233 1644 2192 2466 3288 4932 6576 9864 19728 101389949 202779898 304169847 405559796 608339694 811119592 912509541 1216679388 1622239184 1825019082 2433358776 3650038164 4866717552 7300076328 13890423013 14600152656 27780846026 41671269039 55561692052 83342538078 111123384104 125013807117 166685076156 222246768208 250027614234 333370152312 500055228468 666740304624 1000110456936 2000220913872