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10745046000 = 2432531347977
BaseRepresentation
bin10100000000111010…
…00110001111110000
31000201211200220002200
422000131012033300
5134001212433000
64534115343200
7530162245503
oct120035061760
930654626080
1010745046000
114614331107
1220ba5b1b00
13102316c0b0
1473d0a513a
1542d4cc500
hex2807463f0

10745046000 has 480 divisors, whose sum is σ = 41317855488. Its totient is φ = 2586009600.

The previous prime is 10745045981. The next prime is 10745046071. The reversal of 10745046000 is 64054701.

10745046000 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 50 + 4 + 600 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10997512 + ... + 10998488.

Almost surely, 210745046000 is an apocalyptic number.

10745046000 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 10745046000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20658927744).

10745046000 is an abundant number, since it is smaller than the sum of its proper divisors (30572809488).

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

10745046000 is a wasteful number, since it uses less digits than its factorization.

10745046000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 10745046000 in words is "ten billion, seven hundred forty-five million, forty-six thousand".