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10453164402240 = 2633572127433449
BaseRepresentation
bin1001100000011101000100…
…1001101010011001000000
31101000022110000000002021000
42120013101021222121000
52332231040041332430
634122041210532000
72126134105246500
oct230072111523100
941008400002230
1010453164402240
11337018687872a
121209a87737000
135aa962cc0231
14281d15dc1a00
15131d9ddebe60
hex981d126a640

10453164402240 has 1344 divisors, whose sum is σ = 43431220224000. Its totient is φ = 2359739547648.

The previous prime is 10453164402199. The next prime is 10453164402257. The reversal of 10453164402240 is 4220446135401.

10453164402240 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 3 + 1 + 6 + 4 + 402 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 = 10453164402195 and 10453164402204.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23280989536 + ... + 23280989984.

It is an arithmetic number, because the mean of its divisors is an integer number (32314896000).

Almost surely, 210453164402240 is an apocalyptic number.

10453164402240 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 10453164402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21715610112000).

10453164402240 is an abundant number, since it is smaller than the sum of its proper divisors (32978055821760).

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

10453164402240 is a wasteful number, since it uses less digits than its factorization.

10453164402240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

It can be divided in two parts, 1045316 and 4402240, that added together give a square (5447556 = 23342).

The spelling of 10453164402240 in words is "ten trillion, four hundred fifty-three billion, one hundred sixty-four million, four hundred two thousand, two hundred forty".