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2241318703680 = 26355722917981
BaseRepresentation
bin100000100111011001000…
…000010101001001000000
321221021020100120011100000
4200213121000111021000
5243210210042004210
64433351514200000
7320633652433020
oct40473100251100
97837210504300
102241318703680
117945a0a82681
12302471123000
13133480bbc124
147a6a232ba80
153d47dac0ac0
hex209d9015240

2241318703680 has 672 divisors, whose sum is σ = 9177241731840. Its totient is φ = 510035927040.

The previous prime is 2241318703661. The next prime is 2241318703699. The reversal of 2241318703680 is 863078131422.

2241318703680 is a `hidden beast` number, since 22 + 413 + 187 + 0 + 36 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2241318703661) and next prime (2241318703699).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 124640290 + ... + 124658270.

It is an arithmetic number, because the mean of its divisors is an integer number (13656609720).

Almost surely, 22241318703680 is an apocalyptic number.

2241318703680 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 2241318703680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4588620865920).

2241318703680 is an abundant number, since it is smaller than the sum of its proper divisors (6935923028160).

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

2241318703680 is a wasteful number, since it uses less digits than its factorization.

2241318703680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18249 (or 18227 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 2241318703680 in words is "two trillion, two hundred forty-one billion, three hundred eighteen million, seven hundred three thousand, six hundred eighty".