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1075123478364 = 2231341924596689
BaseRepresentation
bin11111010010100100101…
…10100101111101011100
310210210002012111112101120
433221102112211331130
5120103323102301424
62141523243210540
7140450363532255
oct17512226457534
93723065445346
101075123478364
11384a591a2101
12154448816a50
137a4cb015ca0
143a0716a3b2c
151ce76a6ea79
hexfa525a5f5c

1075123478364 has 96 divisors (see below), whose sum is σ = 2709546336000. Its totient is φ = 329834182656.

The previous prime is 1075123478347. The next prime is 1075123478381. The reversal of 1075123478364 is 4638743215701.

It is an interprime number because it is at equal distance from previous prime (1075123478347) and next prime (1075123478381).

It is a super-2 number, since 2×10751234783642 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160726732 + ... + 160733420.

It is an arithmetic number, because the mean of its divisors is an integer number (28224441000).

Almost surely, 21075123478364 is an apocalyptic number.

It is an amenable number.

1075123478364 is an abundant number, since it is smaller than the sum of its proper divisors (1634422857636).

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

1075123478364 is a wasteful number, since it uses less digits than its factorization.

1075123478364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9587 (or 9585 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 1075123478364 in words is "one trillion, seventy-five billion, one hundred twenty-three million, four hundred seventy-eight thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 419 838 1257 1676 2459 2514 4918 5028 5447 6689 7377 9836 10894 13378 14754 16341 20067 21788 26756 29508 31967 32682 40134 63934 65364 80268 86957 95901 127868 173914 191802 260871 347828 383604 521742 1030321 1043484 2060642 2802691 3090963 4121284 5605382 6181926 8408073 11210764 12363852 13394173 16448251 16816146 26788346 32896502 33632292 36434983 40182519 49344753 53576692 65793004 72869966 80365038 98689506 109304949 145739932 160730076 197379012 213827263 218609898 427654526 437219796 641481789 855309052 1282963578 2565927156 6891817169 13783634338 20675451507 27567268676 41350903014 82701806028 89593623197 179187246394 268780869591 358374492788 537561739182 1075123478364