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45940303575 = 3352109624401
BaseRepresentation
bin101010110010010000…
…010110011011010111
311101120122210020002000
4222302100112123113
51223041204203300
633034340050343
73214305065055
oct526220263327
9141518706060
1045940303575
1118535116041
128aa13939b3
1344419795aa
14231b4bb1d5
1512dd27bc00
hexab24166d7

45940303575 has 48 divisors (see below), whose sum is σ = 85168432800. Its totient is φ = 24276672000.

The previous prime is 45940303561. The next prime is 45940303589. The reversal of 45940303575 is 57530304954.

45940303575 is a `hidden beast` number, since 4 + 5 + 9 + 40 + 30 + 3 + 575 = 666.

45940303575 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45940303561) and next prime (45940303589).

It is not a de Polignac number, because 45940303575 - 214 = 45940287191 is a prime.

It is a super-5 number, since 5×459403035755 (a number of 55 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

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 45940303575.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 238626 + ... + 385775.

It is an arithmetic number, because the mean of its divisors is an integer number (1774342350).

Almost surely, 245940303575 is an apocalyptic number.

45940303575 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

45940303575 is a deficient number, since it is larger than the sum of its proper divisors (39228129225).

45940303575 is a wasteful number, since it uses less digits than its factorization.

45940303575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624529 (or 624518 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 45940303575 in words is "forty-five billion, nine hundred forty million, three hundred three thousand, five hundred seventy-five".

Divisors: 1 3 5 9 15 25 27 45 75 109 135 225 327 545 675 981 1635 2725 2943 4905 8175 14715 24525 73575 624401 1873203 3122005 5619609 9366015 15610025 16858827 28098045 46830075 68059709 84294135 140490225 204179127 340298545 421470675 612537381 1020895635 1701492725 1837612143 3062686905 5104478175 9188060715 15313434525 45940303575