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1070572090104 = 233411267203789
BaseRepresentation
bin11111001010000110001…
…00011011001011111000
310210100100000021001110000
433211003010123023320
5120020012423340404
62135451455153000
7140226526422606
oct17450304331370
93710300231400
101070572090104
11383033042800
12153598515760
1379c540b923a
1439b5d01c876
151ccac1d0339
hexf94311b2f8

1070572090104 has 240 divisors, whose sum is σ = 3345184319400. Its totient is φ = 319572190080.

The previous prime is 1070572090067. The next prime is 1070572090123. The reversal of 1070572090104 is 4010902750701.

It is a happy number.

1070572090104 is a `hidden beast` number, since 1 + 0 + 70 + 572 + 0 + 9 + 0 + 10 + 4 = 666.

1070572090104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10705720901043 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5151442 + ... + 5355230.

Almost surely, 21070572090104 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 1070572090104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672592159700).

1070572090104 is an abundant number, since it is smaller than the sum of its proper divisors (2274612229296).

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

1070572090104 is a wasteful number, since it uses less digits than its factorization.

1070572090104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203896 (or 203872 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 1070572090104 in words is "one trillion, seventy billion, five hundred seventy-two million, ninety thousand, one hundred four".