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11464378225920 = 2833517193741677
BaseRepresentation
bin1010011011010100001000…
…1100010001010100000000
31111120222120020012202221000
42212311002030101110000
53000313021311212140
640214355044332000
72262162660032154
oct246650214212400
944528506182830
1011464378225920
1137200196a62a4
121351a590a4000
1365211759a7a9
142b8c43879064
1514d334d8ca30
hexa6d42311500

11464378225920 has 2304 divisors, whose sum is σ = 47774618035200. Its totient is φ = 2583712235520.

The previous prime is 11464378225843. The next prime is 11464378225921. The reversal of 11464378225920 is 2952287346411.

It is a happy number.

11464378225920 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 43 + 7 + 8 + 2 + 2 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11464378225921) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 16934088622 + ... + 16934089298.

It is an arithmetic number, because the mean of its divisors is an integer number (20735511300).

It is a 1-persistent number, because it is pandigital, but 2⋅11464378225920 = 22928756451840 is not.

Almost surely, 211464378225920 is an apocalyptic number.

11464378225920 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 11464378225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23887309017600).

11464378225920 is an abundant number, since it is smaller than the sum of its proper divisors (36310239809280).

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

11464378225920 is a wasteful number, since it uses less digits than its factorization.

11464378225920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 11464378225920 in words is "eleven trillion, four hundred sixty-four billion, three hundred seventy-eight million, two hundred twenty-five thousand, nine hundred twenty".