Search a number
-
+
45674880828192 = 2535711217503811
BaseRepresentation
bin10100110001010100000110…
…00011000000001100100000
312222201110211222101101200000
422120222003003000030200
521441314123443000232
6241050430043100000
712422621061146310
oct1230520303001440
9188643758341600
1045674880828192
111360a676538700
125158121211600
131c64179998495
14b3c96703b440
1554319613327c
hex298a830c0320

45674880828192 has 1728 divisors, whose sum is σ = 179739128604672. Its totient is φ = 11129807462400.

The previous prime is 45674880828167. The next prime is 45674880828197. The reversal of 45674880828192 is 29182808847654.

45674880828192 is a `hidden beast` number, since 4 + 5 + 67 + 488 + 0 + 8 + 2 + 81 + 9 + 2 = 666.

It is a super-2 number, since 2×456748808281922 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 45674880828192.

It is not an unprimeable number, because it can be changed into a prime (45674880828197) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 56319211467 + ... + 56319212277.

It is an arithmetic number, because the mean of its divisors is an integer number (104015699424).

Almost surely, 245674880828192 is an apocalyptic number.

45674880828192 is a gapful number since it is divisible by the number (42) 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 45674880828192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89869564302336).

45674880828192 is an abundant number, since it is smaller than the sum of its proper divisors (134064247776480).

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

45674880828192 is a wasteful number, since it uses less digits than its factorization.

45674880828192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 495452160, while the sum is 72.

The spelling of 45674880828192 in words is "forty-five trillion, six hundred seventy-four billion, eight hundred eighty million, eight hundred twenty-eight thousand, one hundred ninety-two".