Search a number
-
+
1045755771480 = 233457216993877
BaseRepresentation
bin11110011011110111110…
…01101011101001011000
310200222021111222110010000
433031323321223221120
5114113201434141410
62120225155253000
7135360542251500
oct17157371535130
93628244873100
101045755771480
11373558963272
1214a8115aa160
13777ca945434
143888720aa00
151c3086e1dc0
hexf37be6ba58

1045755771480 has 480 divisors, whose sum is σ = 4092224598000. Its totient is φ = 238827585024.

The previous prime is 1045755771469. The next prime is 1045755771547. The reversal of 1045755771480 is 841775575401.

It is a happy number.

1045755771480 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 7 + 557 + 7 + 1 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 269731302 + ... + 269735178.

Almost surely, 21045755771480 is an apocalyptic number.

1045755771480 is a gapful number since it is divisible by the number (10) 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 1045755771480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2046112299000).

1045755771480 is an abundant number, since it is smaller than the sum of its proper divisors (3046468826520).

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

1045755771480 is a wasteful number, since it uses less digits than its factorization.

1045755771480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5613 (or 5593 counting only the distinct ones).

The product of its (nonzero) digits is 5488000, while the sum is 54.

The spelling of 1045755771480 in words is "one trillion, forty-five billion, seven hundred fifty-five million, seven hundred seventy-one thousand, four hundred eighty".