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10757070000 = 24335439841
BaseRepresentation
bin10100000010010101…
…11101110010110000
31000202200022202221000
422001022331302300
5134012302220000
64535225202000
7530366405055
oct120112756260
930680282830
1010757070000
1146200a39a6
122102630300
1310257bbca1
1474091502c
1542e5a5000
hex2812bdcb0

10757070000 has 200 divisors, whose sum is σ = 38584586480. Its totient is φ = 2868480000.

The previous prime is 10757069989. The next prime is 10757070007. The reversal of 10757070000 is 7075701.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10757070007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 250080 + ... + 289920.

Almost surely, 210757070000 is an apocalyptic number.

10757070000 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 10757070000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19292293240).

10757070000 is an abundant number, since it is smaller than the sum of its proper divisors (27827516480).

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

10757070000 is an equidigital number, since it uses as much as digits as its factorization.

10757070000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39878 (or 39851 counting only the distinct ones).

The product of its (nonzero) digits is 1715, while the sum is 27.

The spelling of 10757070000 in words is "ten billion, seven hundred fifty-seven million, seventy thousand".