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1035052487040 = 2735111335910501
BaseRepresentation
bin11110000111111011110…
…11111001000110000000
310122221122120212021002210
433003331323321012000
5113424241414041130
62111255130542120
7134531364655545
oct17037573710600
93587576767083
101035052487040
11369a66166250
12148724b97940
13767b3338930
143814d8d6bcc
151bdcdc135b0
hexf0fdef9180

1035052487040 has 512 divisors, whose sum is σ = 3887185075200. Its totient is φ = 230952960000.

The previous prime is 1035052487033. The next prime is 1035052487047. The reversal of 1035052487040 is 407842505301.

It is an interprime number because it is at equal distance from previous prime (1035052487033) and next prime (1035052487047).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1035052487040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1035052487047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98561790 + ... + 98572290.

It is an arithmetic number, because the mean of its divisors is an integer number (7592158350).

Almost surely, 21035052487040 is an apocalyptic number.

1035052487040 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 1035052487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1943592537600).

1035052487040 is an abundant number, since it is smaller than the sum of its proper divisors (2852132588160).

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

1035052487040 is a wasteful number, since it uses less digits than its factorization.

1035052487040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10906 (or 10894 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The spelling of 1035052487040 in words is "one trillion, thirty-five billion, fifty-two million, four hundred eighty-seven thousand, forty".