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11375375445 = 3257314327091
BaseRepresentation
bin10101001100000011…
…00111010001010101
31002100202202221112200
422212001213101111
5141244044003240
65120433435113
7551615044620
oct124601472125
932322687480
1011375375445
114908114a35
12225570ba99
1310c39268b5
1479caa4db7
154689db930
hex2a6067455

11375375445 has 96 divisors (see below), whose sum is σ = 23802814464. Its totient is φ = 4915209600.

The previous prime is 11375375399. The next prime is 11375375447. The reversal of 11375375445 is 54457357311.

11375375445 is a `hidden beast` number, since 1 + 1 + 3 + 75 + 37 + 544 + 5 = 666.

It is not a de Polignac number, because 11375375445 - 26 = 11375375381 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11375375445.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11375375447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 406350 + ... + 433440.

It is an arithmetic number, because the mean of its divisors is an integer number (247945984).

Almost surely, 211375375445 is an apocalyptic number.

11375375445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11375375445 is an abundant number, since it is smaller than the sum of its proper divisors (12427439019).

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

11375375445 is a wasteful number, since it uses less digits than its factorization.

11375375445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27183 (or 27180 counting only the distinct ones).

The product of its digits is 882000, while the sum is 45.

The spelling of 11375375445 in words is "eleven billion, three hundred seventy-five million, three hundred seventy-five thousand, four hundred forty-five".

Divisors: 1 3 5 7 9 15 21 31 35 43 45 63 93 105 129 155 215 217 279 301 315 387 465 645 651 903 1085 1333 1395 1505 1935 1953 2709 3255 3999 4515 6665 9331 9765 11997 13545 19995 27091 27993 46655 59985 81273 83979 135455 139965 189637 243819 406365 419895 568911 839821 948185 1164913 1219095 1706733 2519463 2844555 3494739 4199105 5824565 5878747 7558389 8154391 8533665 10484217 12597315 17473695 17636241 24463173 29393735 36112303 37791945 40771955 52421085 52908723 73389519 88181205 108336909 122315865 180561515 252786121 264543615 325010727 366947595 541684545 758358363 1263930605 1625053635 2275075089 3791791815 11375375445