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1005210245104 = 2413289103107379
BaseRepresentation
bin11101010000010110011…
…00110001011111110000
310120002121211102022002221
432220023030301133300
5112432132310320404
62045442012050424
7132424022051002
oct16501314613760
93502554368087
101005210245104
11358341a8318a
12142996a63a14
1373a3885aa00
143691c3d6372
151b233d9c954
hexea0b3317f0

1005210245104 has 240 divisors, whose sum is σ = 2179194451200. Its totient is φ = 448843659264.

The previous prime is 1005210245101. The next prime is 1005210245113. The reversal of 1005210245104 is 4015420125001.

1005210245104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005210245101) 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, 2652269587 + ... + 2652269965.

It is an arithmetic number, because the mean of its divisors is an integer number (9079976880).

Almost surely, 21005210245104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005210245104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089597225600).

1005210245104 is an abundant number, since it is smaller than the sum of its proper divisors (1173984206096).

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

1005210245104 is a wasteful number, since it uses less digits than its factorization.

1005210245104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The spelling of 1005210245104 in words is "one trillion, five billion, two hundred ten million, two hundred forty-five thousand, one hundred four".