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4345249095 = 3251182910589
BaseRepresentation
bin1000000101111111…
…10011110101000111
3102012211100112011200
410002333303311013
532344340432340
61555101433543
7212452002465
oct40277636507
912184315150
104345249095
11192a863a60
12a1326b8b3
13543303315
142d3145835
151a6721330
hex102ff3d47

4345249095 has 48 divisors (see below), whose sum is σ = 8227159200. Its totient is φ = 2104047360.

The previous prime is 4345249063. The next prime is 4345249127. The reversal of 4345249095 is 5909425434.

4345249095 is a `hidden beast` number, since 4 + 34 + 524 + 9 + 0 + 95 = 666.

It is an interprime number because it is at equal distance from previous prime (4345249063) and next prime (4345249127).

It is not a de Polignac number, because 4345249095 - 25 = 4345249063 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 4345249095.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 405061 + ... + 415649.

It is an arithmetic number, because the mean of its divisors is an integer number (171399150).

Almost surely, 24345249095 is an apocalyptic number.

4345249095 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4345249095 is a deficient number, since it is larger than the sum of its proper divisors (3881910105).

4345249095 is a wasteful number, since it uses less digits than its factorization.

4345249095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11440 (or 11437 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 4345249095 is about 65918.5034341648. The cubic root of 4345249095 is about 1631.8173984261.

The spelling of 4345249095 in words is "four billion, three hundred forty-five million, two hundred forty-nine thousand, ninety-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 829 2487 4145 7461 9119 10589 12435 27357 31767 37305 45595 52945 82071 95301 116479 136785 158835 349437 410355 476505 582395 1048311 1747185 5241555 8778281 26334843 43891405 79004529 96561091 131674215 289683273 395022645 482805455 869049819 1448416365 4345249095