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11245376475 = 3352413471171
BaseRepresentation
bin10100111100100011…
…01101001111011011
31002000201011022111000
422132101231033123
5141012304021400
65055511240043
7545446060104
oct123621551733
932021138430
1011245376475
1148507a3873
12221a079023
1310a2a0b728
147897053ab
1545c3ad600
hex29e46d3db

11245376475 has 96 divisors (see below), whose sum is σ = 21241140480. Its totient is φ = 5829408000.

The previous prime is 11245376447. The next prime is 11245376477. The reversal of 11245376475 is 57467354211.

11245376475 is a `hidden beast` number, since 1 + 124 + 53 + 7 + 6 + 475 = 666.

It is not a de Polignac number, because 11245376475 - 212 = 11245372379 is a prime.

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 11245376475.

It is not an unprimeable number, because it can be changed into a prime (11245376477) 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, 9602640 + ... + 9603810.

It is an arithmetic number, because the mean of its divisors is an integer number (221261880).

Almost surely, 211245376475 is an apocalyptic number.

11245376475 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11245376475 is a deficient number, since it is larger than the sum of its proper divisors (9995764005).

11245376475 is a wasteful number, since it uses less digits than its factorization.

11245376475 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 1567 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The spelling of 11245376475 in words is "eleven billion, two hundred forty-five million, three hundred seventy-six thousand, four hundred seventy-five".

Divisors: 1 3 5 9 15 25 27 41 45 75 123 135 205 225 347 369 615 675 1025 1041 1107 1171 1735 1845 3075 3123 3513 5205 5535 5855 8675 9225 9369 10539 14227 15615 17565 26025 27675 29275 31617 42681 46845 48011 52695 71135 78075 87825 128043 144033 158085 213405 234225 240055 263475 355675 384129 406337 432099 640215 720165 790425 1067025 1200275 1219011 1296297 1920645 2031685 2160495 3201075 3600825 3657033 6095055 6481485 9603225 10158425 10802475 10971099 16659817 18285165 30475275 32407425 49979451 54855495 83299085 91425825 149938353 249897255 274277475 416495425 449815059 749691765 1249486275 2249075295 3748458825 11245376475