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4145525916 = 2237131376729
BaseRepresentation
bin1111011100010111…
…1011010010011100
3101200220112112110220
43313011323102130
531442223312131
61523205001340
7204505250250
oct36705732234
911626475426
104145525916
11183804aa84
129783b3250
13510b1501c
142b47d6260
15193e1de96
hexf717b49c

4145525916 has 48 divisors (see below), whose sum is σ = 11139152640. Its totient is φ = 1175391360.

The previous prime is 4145525903. The next prime is 4145525921. The reversal of 4145525916 is 6195255414.

It is a happy number.

It is a super-3 number, since 3×41455259163 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 15 ways as a sum of consecutive naturals, for example, 177361 + ... + 199368.

It is an arithmetic number, because the mean of its divisors is an integer number (232065680).

Almost surely, 24145525916 is an apocalyptic number.

It is an amenable number.

4145525916 is an abundant number, since it is smaller than the sum of its proper divisors (6993626724).

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

4145525916 is a wasteful number, since it uses less digits than its factorization.

4145525916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376874 (or 376872 counting only the distinct ones).

The product of its digits is 216000, while the sum is 42.

The square root of 4145525916 is about 64385.7586427309. The cubic root of 4145525916 is about 1606.4228691982.

The spelling of 4145525916 in words is "four billion, one hundred forty-five million, five hundred twenty-five thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 131 262 393 524 786 917 1572 1834 2751 3668 5502 11004 376729 753458 1130187 1506916 2260374 2637103 4520748 5274206 7911309 10548412 15822618 31645236 49351499 98702998 148054497 197405996 296108994 345460493 592217988 690920986 1036381479 1381841972 2072762958 4145525916