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1045196669952 = 210361782361
BaseRepresentation
bin11110011010110101001…
…00111000010000000000
310200220211112221011000000
433031122210320100000
5114111030321414302
62120053504000000
7135340643052051
oct17153244702000
93626745834000
101045196669952
113732a12a9a96
1214a696300000
137773bb69326
1438832c6c728
151c2c45a231c
hexf35a938400

1045196669952 has 308 divisors, whose sum is σ = 3316938305436. Its totient is φ = 327900856320.

The previous prime is 1045196669921. The next prime is 1045196670061. The reversal of 1045196669952 is 2599666915401.

It can be written as a sum of positive squares in 2 ways, for example, as 711094173696 + 334102496256 = 843264^2 + 578016^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1045196669952.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 12649252 + ... + 12731612.

Almost surely, 21045196669952 is an apocalyptic number.

1045196669952 is a gapful number since it is divisible by the number (12) 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 1045196669952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658469152718).

1045196669952 is an abundant number, since it is smaller than the sum of its proper divisors (2271741635484).

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

1045196669952 is an frugal number, since it uses more digits than its factorization.

1045196669952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82416 (or 82383 counting only the distinct ones).

The product of its (nonzero) digits is 31492800, while the sum is 63.

The spelling of 1045196669952 in words is "one trillion, forty-five billion, one hundred ninety-six million, six hundred sixty-nine thousand, nine hundred fifty-two".