Search a number
-
+
23783808384 = 273471737521
BaseRepresentation
bin10110001001101000…
…000001110110000000
32021101112102122120000
4112021220001312000
5342202123332014
614532013320000
71501246015140
oct261150016600
967345378500
1023783808384
11a0a5381296
124739196000
1323205931cb
141218a40920
15943039509
hex589a01d80

23783808384 has 640 divisors, whose sum is σ = 88133728320. Its totient is φ = 6210846720.

The previous prime is 23783808379. The next prime is 23783808403. The reversal of 23783808384 is 48380838732.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 23783808384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45650044 + ... + 45650564.

Almost surely, 223783808384 is an apocalyptic number.

23783808384 is a gapful number since it is divisible by the number (24) 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 23783808384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44066864160).

23783808384 is an abundant number, since it is smaller than the sum of its proper divisors (64349919936).

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

23783808384 is a wasteful number, since it uses less digits than its factorization.

23783808384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 23783808384 in words is "twenty-three billion, seven hundred eighty-three million, eight hundred eight thousand, three hundred eighty-four".