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1070691240960 = 2103251116312959
BaseRepresentation
bin11111001010010100010…
…10111100110000000000
310210100122022110112200200
433211022022330300000
5120020233424202320
62135511353045200
7140232504246315
oct17451212746000
93710568415620
101070691240960
11383094324590
121536103b6800
1379c729a67c3
1439b70b96d0c
151ccb78b9290
hexf94a2bcc00

1070691240960 has 528 divisors, whose sum is σ = 4072326036480. Its totient is φ = 257949204480.

The previous prime is 1070691240907. The next prime is 1070691240991. The reversal of 1070691240960 is 690421960701.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×10706912409602 (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 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 47 ways as a sum of consecutive naturals, for example, 82614961 + ... + 82627919.

Almost surely, 21070691240960 is an apocalyptic number.

1070691240960 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 1070691240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2036163018240).

1070691240960 is an abundant number, since it is smaller than the sum of its proper divisors (3001634795520).

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

1070691240960 is a wasteful number, since it uses less digits than its factorization.

1070691240960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13164 (or 13143 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 1070691240960 in words is "one trillion, seventy billion, six hundred ninety-one million, two hundred forty thousand, nine hundred sixty".