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2091398112 = 253210171899
BaseRepresentation
bin111110010101000…
…0011001111100000
312101202100000212100
41330222003033200
513240344214422
6543305530400
7102553406406
oct17452031740
95352300770
102091398112
119835a33a1
124a44a3a00
1327439879b
1415ba8b476
15c39187ac
hex7ca833e0

2091398112 has 72 divisors (see below), whose sum is σ = 6006382200. Its totient is φ = 690220800.

The previous prime is 2091398107. The next prime is 2091398149. The reversal of 2091398112 is 2118931902.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6862 + ... + 65037.

It is an arithmetic number, because the mean of its divisors is an integer number (83421975).

Almost surely, 22091398112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2091398112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3003191100).

2091398112 is an abundant number, since it is smaller than the sum of its proper divisors (3914984088).

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

2091398112 is a wasteful number, since it uses less digits than its factorization.

2091398112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72016 (or 72005 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 2091398112 is about 45731.8063496294. The cubic root of 2091398112 is about 1278.8282962468.

It can be divided in two parts, 20913 and 98112, that added together give a square (119025 = 3452).

The spelling of 2091398112 in words is "two billion, ninety-one million, three hundred ninety-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 101 144 202 288 303 404 606 808 909 1212 1616 1818 2424 3232 3636 4848 7272 9696 14544 29088 71899 143798 215697 287596 431394 575192 647091 862788 1150384 1294182 1725576 2300768 2588364 3451152 5176728 6902304 7261799 10353456 14523598 20706912 21785397 29047196 43570794 58094392 65356191 87141588 116188784 130712382 174283176 232377568 261424764 348566352 522849528 697132704 1045699056 2091398112