Search a number
-
+
4545163392000 = 210353711153719
BaseRepresentation
bin100001000100100000011…
…0110010111010000000000
3121002111212020210102220220
41002021000312113100000
51043431443312021000
613400004053303040
7646243246245330
oct102110066272000
917074766712826
104545163392000
1114a2658273a20
12614a72034a80
1326c7b7964caa
14119db67a50c0
157d36ba541a0
hex42240d97400

4545163392000 has 704 divisors, whose sum is σ = 18849682575360. Its totient is φ = 944443392000.

The previous prime is 4545163391983. The next prime is 4545163392067. The reversal of 4545163392000 is 2933615454.

It is a tau number, because it is divible by the number of its divisors (704).

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 (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29491141 + ... + 29644859.

Almost surely, 24545163392000 is an apocalyptic number.

4545163392000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4545163392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9424841287680).

4545163392000 is an abundant number, since it is smaller than the sum of its proper divisors (14304519183360).

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

4545163392000 is a wasteful number, since it uses less digits than its factorization.

4545163392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153775 (or 153747 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 4545163392000 in words is "four trillion, five hundred forty-five billion, one hundred sixty-three million, three hundred ninety-two thousand".