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11913942040 = 235711131723761
BaseRepresentation
bin10110001100010000…
…00101010000011000
31010202022011222000121
423012020011100120
5143344432121130
65250113043024
7601144556620
oct130610052030
933668158017
1011913942040
115064122aa0
122385b56474
13117b392c60
14810419880
1549ae21d7a
hex2c6205418

11913942040 has 512 divisors, whose sum is σ = 39818096640. Its totient is φ = 3081830400.

The previous prime is 11913941993. The next prime is 11913942083. The reversal of 11913942040 is 4024931911.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 11913941987 and 11913942005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15655260 + ... + 15656020.

It is an arithmetic number, because the mean of its divisors is an integer number (77769720).

Almost surely, 211913942040 is an apocalyptic number.

11913942040 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 11913942040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19909048320).

11913942040 is an abundant number, since it is smaller than the sum of its proper divisors (27904154600).

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

11913942040 is a wasteful number, since it uses less digits than its factorization.

11913942040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The spelling of 11913942040 in words is "eleven billion, nine hundred thirteen million, nine hundred forty-two thousand, forty".