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11792930940 = 223657217971
BaseRepresentation
bin10101111101110100…
…11101100001111100
31010102212110222000000
422332322131201330
5143122442242230
65230111234300
7565145154600
oct127672354174
933385428000
1011792930940
11500189061a
122351518990
13115c2a3a5b
147dc319500
154904bbb60
hex2bee9d87c

11792930940 has 504 divisors, whose sum is σ = 45780768432. Its totient is φ = 2534353920.

The previous prime is 11792930911. The next prime is 11792930971. The reversal of 11792930940 is 4903929711.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 12144655 + ... + 12145625.

It is an arithmetic number, because the mean of its divisors is an integer number (90834858).

Almost surely, 211792930940 is an apocalyptic number.

11792930940 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 11792930940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22890384216).

11792930940 is an abundant number, since it is smaller than the sum of its proper divisors (33987837492).

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

11792930940 is a wasteful number, since it uses less digits than its factorization.

11792930940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 11792930940 in words is "eleven billion, seven hundred ninety-two million, nine hundred thirty thousand, nine hundred forty".