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4045216455 = 325767191671
BaseRepresentation
bin1111000100011101…
…0001101011000111
3101102220210021202200
43301013101223013
531241033411310
61505223005543
7202146525660
oct36107215307
911386707680
104045216455
111796467aa5
1294a8998b3
134c60c3707
142a5364367
1518a2079c0
hexf11d1ac7

4045216455 has 48 divisors (see below), whose sum is σ = 8133026304. Its totient is φ = 1821631680.

The previous prime is 4045216429. The next prime is 4045216457. The reversal of 4045216455 is 5546125404.

4045216455 is a `hidden beast` number, since 4 + 0 + 4 + 5 + 2 + 1 + 645 + 5 = 666.

It is not a de Polignac number, because 4045216455 - 25 = 4045216423 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4045216457) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 74731 + ... + 116940.

It is an arithmetic number, because the mean of its divisors is an integer number (169438048).

Almost surely, 24045216455 is an apocalyptic number.

4045216455 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4045216455 is an abundant number, since it is smaller than the sum of its proper divisors (4087809849).

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

4045216455 is a wasteful number, since it uses less digits than its factorization.

4045216455 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191756 (or 191753 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 4045216455 is about 63602.0161237048. The cubic root of 4045216455 is about 1593.3600417094.

The spelling of 4045216455 in words is "four billion, forty-five million, two hundred sixteen thousand, four hundred fifty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 67 105 201 315 335 469 603 1005 1407 2345 3015 4221 7035 21105 191671 575013 958355 1341697 1725039 2875065 4025091 6708485 8625195 12075273 12841957 20125455 38525871 60376365 64209785 89893699 115577613 192629355 269681097 449468495 577888065 809043291 1348405485 4045216455