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1070429159520 = 253257239747599
BaseRepresentation
bin11111001001110101000…
…11001100000001100000
310210022222001022102112200
433210322203030001200
5120014214331101040
62135425351453200
7140223142505430
oct17447243140140
93708861272480
101070429159520
11382a6a399956
12153558687200
1379c305c4026
1439b480542c0
151cc9e89a630
hexf93a8cc060

1070429159520 has 576 divisors, whose sum is σ = 4401182822400. Its totient is φ = 231614152704.

The previous prime is 1070429159479. The next prime is 1070429159539. The reversal of 1070429159520 is 259519240701.

1070429159520 is a `hidden beast` number, since 1 + 0 + 70 + 4 + 2 + 9 + 1 + 59 + 520 = 666.

It is a super-2 number, since 2×10704291595202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22464681 + ... + 22512279.

It is an arithmetic number, because the mean of its divisors is an integer number (7640942400).

Almost surely, 21070429159520 is an apocalyptic number.

1070429159520 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 1070429159520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2200591411200).

1070429159520 is an abundant number, since it is smaller than the sum of its proper divisors (3330753662880).

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

1070429159520 is a wasteful number, since it uses less digits than its factorization.

1070429159520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47747 (or 47736 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 1070429159520 in words is "one trillion, seventy billion, four hundred twenty-nine million, one hundred fifty-nine thousand, five hundred twenty".