Search a number
-
+
11520425398080 = 2635171528946171
BaseRepresentation
bin1010011110100100111011…
…0111010000111101000000
31111210100020020212010021010
42213221032313100331000
53002222312400214310
640300224350000520
72266215611112354
oct247511667207500
944710206763233
1011520425398080
11374186a889295
12136089b1a6140
136574aa1114a1
142bb83d377464
1514ea15587320
hexa7a4edd0f40

11520425398080 has 224 divisors, whose sum is σ = 38732331496320. Its totient is φ = 2891149148160.

The previous prime is 11520425398049. The next prime is 11520425398087. The reversal of 11520425398080 is 8089352402511.

11520425398080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11520425398087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249493395 + ... + 249539565.

It is an arithmetic number, because the mean of its divisors is an integer number (172912194180).

Almost surely, 211520425398080 is an apocalyptic number.

11520425398080 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 11520425398080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19366165748160).

11520425398080 is an abundant number, since it is smaller than the sum of its proper divisors (27211906098240).

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

11520425398080 is a wasteful number, since it uses less digits than its factorization.

11520425398080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61497 (or 61487 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 48.

The spelling of 11520425398080 in words is "eleven trillion, five hundred twenty billion, four hundred twenty-five million, three hundred ninety-eight thousand, eighty".