Search a number
-
+
11925018989520 = 24357213312516209
BaseRepresentation
bin1010110110001000001010…
…0001010101001111010000
31120020000120002002010002020
42231202002201111033100
53030334414330131040
641210140022451440
72340361041645300
oct255420241251720
946200502063066
1011925018989520
11388841037594a
121407194893b80
136866a8334b70
142d3261649600
1515a2e53a9cd0
hexad8828553d0

11925018989520 has 480 divisors, whose sum is σ = 47804930288640. Its totient is φ = 2434884157440.

The previous prime is 11925018989501. The next prime is 11925018989537. The reversal of 11925018989520 is 2598981052911.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3481176 + ... + 5997384.

It is an arithmetic number, because the mean of its divisors is an integer number (99593604768).

Almost surely, 211925018989520 is an apocalyptic number.

11925018989520 is a gapful number since it is divisible by the number (10) 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 11925018989520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23902465144320).

11925018989520 is an abundant number, since it is smaller than the sum of its proper divisors (35879911299120).

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

11925018989520 is a wasteful number, since it uses less digits than its factorization.

11925018989520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2516283 (or 2516270 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 60.

The spelling of 11925018989520 in words is "eleven trillion, nine hundred twenty-five billion, eighteen million, nine hundred eighty-nine thousand, five hundred twenty".