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11372514480 = 2433517317977
BaseRepresentation
bin10101001011101101…
…01100110010110000
31002100120101121001000
422211312230302300
5141242330430410
65120252242000
7551551530615
oct124566546260
932316347030
1011372514480
1149065404a8
122254770300
1310c3164612
1479c55c50c
15468623dc0
hex2a5daccb0

11372514480 has 320 divisors, whose sum is σ = 41649655680. Its totient is φ = 2842361856.

The previous prime is 11372514479. The next prime is 11372514481. The reversal of 11372514480 is 8441527311.

11372514480 is a `hidden beast` number, since 1 + 137 + 2 + 514 + 4 + 8 + 0 = 666.

11372514480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11372514479) and next prime (11372514481).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11372514481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11639752 + ... + 11640728.

It is an arithmetic number, because the mean of its divisors is an integer number (130155174).

Almost surely, 211372514480 is an apocalyptic number.

11372514480 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 11372514480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20824827840).

11372514480 is an abundant number, since it is smaller than the sum of its proper divisors (30277141200).

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

11372514480 is a wasteful number, since it uses less digits than its factorization.

11372514480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 11372514480 in words is "eleven billion, three hundred seventy-two million, five hundred fourteen thousand, four hundred eighty".