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23216433461232 = 2431143970517919
BaseRepresentation
bin1010100011101011111110…
…10001001111011111110000
310001012110200011110210102120
411101311333101033133300
511020334223431224412
6121213252101514240
74614221602240464
oct521657721173760
9101173604423376
1023216433461232
11744104148a630
12272b600712980
13cc53b9944b5b
145a397799c4a4
152a3da5617b8c
hex151d7f44f7f0

23216433461232 has 40 divisors (see below), whose sum is σ = 65428130664960. Its totient is φ = 7035282866880.

The previous prime is 23216433461167. The next prime is 23216433461329.

23216433461232 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21985258432 + ... + 21985259487.

It is an arithmetic number, because the mean of its divisors is an integer number (1635703266624).

Almost surely, 223216433461232 is an apocalyptic number.

23216433461232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23216433461232 is an abundant number, since it is smaller than the sum of its proper divisors (42211697203728).

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

23216433461232 is a wasteful number, since it uses less digits than its factorization.

23216433461232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43970517941 (or 43970517935 counting only the distinct ones).

The product of its digits is 746496, while the sum is 42.

It can be divided in two parts, 2321643 and 3461232, that added together give a palindrome (5782875).

The spelling of 23216433461232 in words is "twenty-three trillion, two hundred sixteen billion, four hundred thirty-three million, four hundred sixty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 43970517919 87941035838 131911553757 175882071676 263823107514 351764143352 483675697109 527646215028 703528286704 967351394218 1055292430056 1451027091327 1934702788436 2110584860112 2902054182654 3869405576872 5804108365308 7738811153744 11608216730616 23216433461232