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1045336287996 = 223271121337263271
BaseRepresentation
bin11110011011000101110…
…01011110101011111100
310200221012021122110221200
433031202321132223330
5114111322042203441
62120115412255500
7135344256561540
oct17154271365374
93627167573850
101045336287996
113733630a0100
1214a715011590
1377761a71860
1438847613a20
151c2d19807b6
hexf362e5eafc

1045336287996 has 864 divisors, whose sum is σ = 3698856505344. Its totient is φ = 242032665600.

The previous prime is 1045336287991. The next prime is 1045336288091. The reversal of 1045336287996 is 6997826335401.

1045336287996 is a `hidden beast` number, since 1 + 0 + 4 + 533 + 6 + 2 + 8 + 7 + 9 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1045336287991) 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, 3857329341 + ... + 3857329611.

It is a 1-persistent number, because it is pandigital, but 2⋅1045336287996 = 2090672575992 is not.

Almost surely, 21045336287996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1045336287996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849428252672).

1045336287996 is an abundant number, since it is smaller than the sum of its proper divisors (2653520217348).

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

1045336287996 is a wasteful number, since it uses less digits than its factorization.

1045336287996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 1045336287996 in words is "one trillion, forty-five billion, three hundred thirty-six million, two hundred eighty-seven thousand, nine hundred ninety-six".