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45658345440 = 253595121553
BaseRepresentation
bin101010100001011100…
…110000111111100000
311100212000020021020010
4222201130300333200
51222002014023230
632550344444520
73204312350511
oct524134607740
9140760207203
1045658345440
11183aaa44794
128a22a79740
1343c8427866
1422d1c82a08
1512c36339b0
hexaa1730fe0

45658345440 has 48 divisors (see below), whose sum is σ = 143823789648. Its totient is φ = 12175558656.

The previous prime is 45658345423. The next prime is 45658345457. The reversal of 45658345440 is 4454385654.

It is an interprime number because it is at equal distance from previous prime (45658345423) and next prime (45658345457).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 45658345440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47560297 + ... + 47561256.

It is an arithmetic number, because the mean of its divisors is an integer number (2996328951).

Almost surely, 245658345440 is an apocalyptic number.

45658345440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45658345440 is an abundant number, since it is smaller than the sum of its proper divisors (98165444208).

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

45658345440 is a wasteful number, since it uses less digits than its factorization.

45658345440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95121571 (or 95121563 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 48.

The spelling of 45658345440 in words is "forty-five billion, six hundred fifty-eight million, three hundred forty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 95121553 190243106 285364659 380486212 475607765 570729318 760972424 951215530 1141458636 1426823295 1521944848 1902431060 2282917272 2853646590 3043889696 3804862120 4565834544 5707293180 7609724240 9131669088 11414586360 15219448480 22829172720 45658345440