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1073068914960 = 24325717412511217
BaseRepresentation
bin11111001110101111110…
…01000011100100010000
310210120210000110220020200
433213113321003210100
5120040121120234320
62140543330535200
7140345435165430
oct17472771034420
93716700426220
101073068914960
113840a4478219
12153b74737500
137a2614763b3
1439d188842c0
151cda64d0290
hexf9d7e43910

1073068914960 has 960 divisors, whose sum is σ = 4488651707904. Its totient is φ = 224133120000.

The previous prime is 1073068914941. The next prime is 1073068914997. The reversal of 1073068914960 is 694198603701.

1073068914960 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 0 + 68 + 91 + 496 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1073068914897 and 1073068914906.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 881732272 + ... + 881733488.

Almost surely, 21073068914960 is an apocalyptic number.

1073068914960 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 1073068914960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2244325853952).

1073068914960 is an abundant number, since it is smaller than the sum of its proper divisors (3415582792944).

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

1073068914960 is a wasteful number, since it uses less digits than its factorization.

1073068914960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552 (or 1543 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 1073068914960 in words is "one trillion, seventy-three billion, sixty-eight million, nine hundred fourteen thousand, nine hundred sixty".