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23804040832 = 27111317227337
BaseRepresentation
bin10110001010110101…
…001101011010000000
32021102221111120020221
4112022311031122000
5342222313301312
614534015112424
71501613002645
oct261265153200
967387446227
1023804040832
11a105840220
124743b12714
132324828380
14121b5c9dcc
15944bd4207
hex58ad4d680

23804040832 has 256 divisors, whose sum is σ = 59425591680. Its totient is φ = 9331015680.

The previous prime is 23804040829. The next prime is 23804040853.

23804040832 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70634968 + ... + 70635304.

Almost surely, 223804040832 is an apocalyptic number.

23804040832 is a gapful number since it is divisible by the number (22) 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 23804040832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29712795840).

23804040832 is an abundant number, since it is smaller than the sum of its proper divisors (35621550848).

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

23804040832 is a wasteful number, since it uses less digits than its factorization.

23804040832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

It can be divided in two parts, 238040 and 40832, that added together give a palindrome (278872).

The spelling of 23804040832 in words is "twenty-three billion, eight hundred four million, forty thousand, eight hundred thirty-two".