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2117348022320 = 245145511181889
BaseRepresentation
bin11110110011111011110…
…001101101100000110000
321111102020121212000222222
4132303323301231200300
5234142312043203240
64300410220220212
7305654600144066
oct36637361554060
97442217760888
102117348022320
11746a64839913
122a243369a668
131248851aa17b
14746a1904036
153a125236eb5
hex1ecfbc6d830

2117348022320 has 40 divisors (see below), whose sum is σ = 4922895048480. Its totient is φ = 846928732160.

The previous prime is 2117348022311. The next prime is 2117348022323. The reversal of 2117348022320 is 232208437112.

It is a Cunningham number, because it is equal to 14551112-1.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2117348022323) 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 7 ways as a sum of consecutive naturals, for example, 11549936 + ... + 11731824.

It is an arithmetic number, because the mean of its divisors is an integer number (123072376212).

Almost surely, 22117348022320 is an apocalyptic number.

2117348022320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2117348022320 is an abundant number, since it is smaller than the sum of its proper divisors (2805547026160).

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

2117348022320 is a wasteful number, since it uses less digits than its factorization.

2117348022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327413 (or 327407 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The spelling of 2117348022320 in words is "two trillion, one hundred seventeen billion, three hundred forty-eight million, twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 145511 181889 291022 363778 582044 727555 727556 909445 1164088 1455110 1455112 1818890 2328176 2910220 2910224 3637780 5820440 7275560 11640880 14551120 26466850279 52933700558 105867401116 132334251395 211734802232 264668502790 423469604464 529337005580 1058674011160 2117348022320