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60145240356 = 22321670701121
BaseRepresentation
bin111000000000111011…
…111000100100100100
312202020121212210001200
4320000323320210210
51441134140142411
643344053122500
74226312051655
oct700073704444
9182217783050
1060145240356
1123564469313
12b7a6629430
135896880826
142ca7c9d52c
151870391e56
hexe00ef8924

60145240356 has 18 divisors (see below), whose sum is σ = 152033802102. Its totient is φ = 20048413440.

The previous prime is 60145240339. The next prime is 60145240357. The reversal of 60145240356 is 65304254106.

60145240356 is a `hidden beast` number, since 60 + 1 + 4 + 5 + 240 + 356 = 666.

It can be written as a sum of positive squares in only one way, i.e., 43097760000 + 17047480356 = 207600^2 + 130566^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×601452403562 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1670701121 = 60145240356 / (6 + 0 + 1 + 4 + 5 + 2 + 4 + 0 + 3 + 5 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 60145240356.

It is not an unprimeable number, because it can be changed into a prime (60145240357) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 835350525 + ... + 835350596.

It is an arithmetic number, because the mean of its divisors is an integer number (8446322339).

Almost surely, 260145240356 is an apocalyptic number.

It is an amenable number.

60145240356 is an abundant number, since it is smaller than the sum of its proper divisors (91888561746).

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

60145240356 is a wasteful number, since it uses less digits than its factorization.

60145240356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670701131 (or 1670701126 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 60145240356 in words is "sixty billion, one hundred forty-five million, two hundred forty thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 1670701121 3341402242 5012103363 6682804484 10024206726 15036310089 20048413452 30072620178 60145240356