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11469073198464 = 273372671010843
BaseRepresentation
bin1010011011100101101000…
…0010001010110110000000
31111121102200102122002111000
42212321122002022312000
53000402130214322324
640220453002052000
72262420216450600
oct246713202126600
944542612562430
1011469073198464
1137220089056a2
1213529494aa000
136526b518b15b
142b916b218c00
1514d50c1409c9
hexa6e5a08ad80

11469073198464 has 384 divisors, whose sum is σ = 39963919708800. Its totient is φ = 3227966235648.

The previous prime is 11469073198463. The next prime is 11469073198501. The reversal of 11469073198464 is 46489137096411.

11469073198464 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 90 + 73 + 19 + 8 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×114690731984643 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11469073198463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10840627 + ... + 11851469.

It is an arithmetic number, because the mean of its divisors is an integer number (104072707575).

Almost surely, 211469073198464 is an apocalyptic number.

11469073198464 is a gapful number since it is divisible by the number (14) 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 11469073198464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19981959854400).

11469073198464 is an abundant number, since it is smaller than the sum of its proper divisors (28494846510336).

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

11469073198464 is a wasteful number, since it uses less digits than its factorization.

11469073198464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010947 (or 1010922 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 11469073198464 in words is "eleven trillion, four hundred sixty-nine billion, seventy-three million, one hundred ninety-eight thousand, four hundred sixty-four".