Search a number
-
+
23542356288 = 2631123197337
BaseRepresentation
bin10101111011001110…
…111101100101000000
32020202201002121112210
4111323032331211000
5341203320400123
614452030222120
71462254504153
oct257316754500
966681077483
1023542356288
119a91056800
124690354940
1322b2554449
1411d494bc9a
1592bc42e93
hex57b3bd940

23542356288 has 336 divisors, whose sum is σ = 71615677952. Its totient is φ = 6812467200.

The previous prime is 23542356269. The next prime is 23542356311. The reversal of 23542356288 is 88265324532.

It is a super-2 number, since 2×235423562882 (a number of 22 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69858456 + ... + 69858792.

Almost surely, 223542356288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23542356288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35807838976).

23542356288 is an abundant number, since it is smaller than the sum of its proper divisors (48073321664).

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

23542356288 is a wasteful number, since it uses less digits than its factorization.

23542356288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 481 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 48.

The spelling of 23542356288 in words is "twenty-three billion, five hundred forty-two million, three hundred fifty-six thousand, two hundred eighty-eight".