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11373742512 = 243211223101281
BaseRepresentation
bin10101001011110110…
…11000100110110000
31002100122200222120200
422211323120212300
5141243134230022
65120334435200
7551565134106
oct124573304660
932318628520
1011373742512
1149071aa100
122255062b00
1310c34a4572
1479c79bc76
154687b7bac
hex2a5ed89b0

11373742512 has 360 divisors, whose sum is σ = 37001319264. Its totient is φ = 3252480000.

The previous prime is 11373742511. The next prime is 11373742537. The reversal of 11373742512 is 21524737311.

11373742512 is a `hidden beast` number, since 1 + 1 + 3 + 73 + 74 + 2 + 512 = 666.

11373742512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

Its product of digits (35280) is a multiple of the sum of its prime factors (441).

It is not an unprimeable number, because it can be changed into a prime (11373742511) 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 71 ways as a sum of consecutive naturals, for example, 40475812 + ... + 40476092.

Almost surely, 211373742512 is an apocalyptic number.

11373742512 is a gapful number since it is divisible by the number (12) 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 11373742512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18500659632).

11373742512 is an abundant number, since it is smaller than the sum of its proper divisors (25627576752).

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

11373742512 is a wasteful number, since it uses less digits than its factorization.

11373742512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 421 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The spelling of 11373742512 in words is "eleven billion, three hundred seventy-three million, seven hundred forty-two thousand, five hundred twelve".