Search a number
-
+
23361847680 = 273559271761
BaseRepresentation
bin10101110000011110…
…011000000110000000
32020022010102211021210
4111300132120012000
5340321113111210
614422101250120
71454633300043
oct256036300600
966263384253
1023361847680
1199a9176a36
12463ba03940
132284032c12
1411b89a0c5a
1591ae88e20
hex570798180

23361847680 has 256 divisors, whose sum is σ = 76107340800. Its totient is φ = 6093619200.

The previous prime is 23361847633. The next prime is 23361847781. The reversal of 23361847680 is 8674816332.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 30698500 + ... + 30699260.

It is an arithmetic number, because the mean of its divisors is an integer number (297294300).

Almost surely, 223361847680 is an apocalyptic number.

23361847680 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 23361847680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38053670400).

23361847680 is an abundant number, since it is smaller than the sum of its proper divisors (52745493120).

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

23361847680 is a wasteful number, since it uses less digits than its factorization.

23361847680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 23361847680 in words is "twenty-three billion, three hundred sixty-one million, eight hundred forty-seven thousand, six hundred eighty".