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11419626240 = 2834511171931
BaseRepresentation
bin10101010001010100…
…11010101100000000
31002110212001010020000
422220222122230000
5141341411014430
65125054120000
7552663135651
oct125052325400
932425033200
1011419626240
114930099240
1222684b0000
1310ccb4b1b9
147a4903528
1546c82ce60
hex2a8a9ab00

11419626240 has 1440 divisors, whose sum is σ = 51285104640. Its totient is φ = 2388787200.

The previous prime is 11419626227. The next prime is 11419626341. The reversal of 11419626240 is 4262691411.

11419626240 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 9 + 626 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×114196262402 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11419626195 and 11419626204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 368375025 + ... + 368375055.

It is an arithmetic number, because the mean of its divisors is an integer number (35614656).

Almost surely, 211419626240 is an apocalyptic number.

11419626240 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 11419626240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25642552320).

11419626240 is an abundant number, since it is smaller than the sum of its proper divisors (39865478400).

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

11419626240 is a wasteful number, since it uses less digits than its factorization.

11419626240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 11419626240 in words is "eleven billion, four hundred nineteen million, six hundred twenty-six thousand, two hundred forty".