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1075211936694 = 23371712710971201
BaseRepresentation
bin11111010010101111010…
…00000010001110110110
310210210022100221200102000
433221113220002032312
5120104013223433234
62141540123200130
7140452516444260
oct17512750021666
93723270850360
101075211936694
11384aa4120165
12154472376046
137a5134482ac
143a07d32cb30
151ce7e6e4899
hexfa57a023b6

1075211936694 has 256 divisors, whose sum is σ = 2919177584640. Its totient is φ = 286355865600.

The previous prime is 1075211936683. The next prime is 1075211936717. The reversal of 1075211936694 is 4966391125701.

1075211936694 is a `hidden beast` number, since 10 + 7 + 521 + 19 + 3 + 6 + 6 + 94 = 666.

It is a super-3 number, since 3×10752119366943 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1075211936694.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 895263294 + ... + 895264494.

It is an arithmetic number, because the mean of its divisors is an integer number (11403037440).

Almost surely, 21075211936694 is an apocalyptic number.

1075211936694 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1075211936694, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459588792320).

1075211936694 is an abundant number, since it is smaller than the sum of its proper divisors (1843965647946).

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

1075211936694 is a wasteful number, since it uses less digits than its factorization.

1075211936694 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2460 (or 2454 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 1075211936694 in words is "one trillion, seventy-five billion, two hundred eleven million, nine hundred thirty-six thousand, six hundred ninety-four".