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23212316736 = 263275757023
BaseRepresentation
bin10101100111100011…
…111101100001000000
32012220201001212101200
4111213203331201000
5340014323113421
614355200301200
71451136302550
oct254743754100
965821055350
1023212316736
119931825144
1245b9911800
13225c06967b
1411a2b99160
1590cc9d726
hex5678fd840

23212316736 has 84 divisors (see below), whose sum is σ = 76038772992. Its totient is φ = 6632089344.

The previous prime is 23212316731. The next prime is 23212316737. The reversal of 23212316736 is 63761321232.

It is a tau number, because it is divible by the number of its divisors (84).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 23212316736.

It is not an unprimeable number, because it can be changed into a prime (23212316731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2874480 + ... + 2882543.

It is an arithmetic number, because the mean of its divisors is an integer number (905223488).

Almost surely, 223212316736 is an apocalyptic number.

It is an amenable number.

23212316736 is an abundant number, since it is smaller than the sum of its proper divisors (52826456256).

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

23212316736 is a wasteful number, since it uses less digits than its factorization.

23212316736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5757048 (or 5757035 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

Adding to 23212316736 its reverse (63761321232), we get a palindrome (86973637968).

The spelling of 23212316736 in words is "twenty-three billion, two hundred twelve million, three hundred sixteen thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 5757023 11514046 17271069 23028092 34542138 40299161 46056184 51813207 69084276 80598322 92112368 103626414 120897483 138168552 161196644 184224736 207252828 241794966 276337104 322393288 362692449 368449472 414505656 483589932 552674208 644786576 725384898 829011312 967179864 1105348416 1289573152 1450769796 1658022624 1934359728 2579146304 2901539592 3316045248 3868719456 5803079184 7737438912 11606158368 23212316736