Search a number
-
+
23261422416232 = 23711131910114910159
BaseRepresentation
bin1010100100111111110001…
…10100011111000101101000
310001100202210112010111121011
411102133320310133011220
511022103343114304412
6121250052215153304
74620403506114550
oct522377064370550
9101322715114534
1023261422416232
117459128591380
122738277375834
13cc97094898a0
145a5c04994160
152a513a0c37a7
hex1527f8d1f168

23261422416232 has 512 divisors, whose sum is σ = 62676633600000. Its totient is φ = 7793542656000.

The previous prime is 23261422416223. The next prime is 23261422416277.

23261422416232 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2289730369 + ... + 2289740527.

It is an arithmetic number, because the mean of its divisors is an integer number (122415300000).

Almost surely, 223261422416232 is an apocalyptic number.

23261422416232 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 23261422416232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31338316800000).

23261422416232 is an abundant number, since it is smaller than the sum of its proper divisors (39415211183768).

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

23261422416232 is a wasteful number, since it uses less digits than its factorization.

23261422416232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10465 (or 10461 counting only the distinct ones).

The product of its digits is 331776, while the sum is 40.

The spelling of 23261422416232 in words is "twenty-three trillion, two hundred sixty-one billion, four hundred twenty-two million, four hundred sixteen thousand, two hundred thirty-two".