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1041644665332 = 223280429359753
BaseRepresentation
bin11110010100001101101…
…11000011100111110100
310200120200000012121200100
433022012313003213310
5114031242013242312
62114305220114100
7135153632365335
oct17120667034764
93616600177610
101041644665332
11371839292387
12149a64835930
13772c3cc204b
14385b721428c
151c1678215dc
hexf286dc39f4

1041644665332 has 36 divisors (see below), whose sum is σ = 2633086294020. Its totient is φ = 347209606272.

The previous prime is 1041644665289. The next prime is 1041644665337. The reversal of 1041644665332 is 2335664461401.

1041644665332 is a `hidden beast` number, since 1 + 0 + 4 + 16 + 44 + 66 + 533 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 195402897936 + 846241767396 = 442044^2 + 919914^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×10416446653323 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041644665337) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2715568 + ... + 3075320.

It is an arithmetic number, because the mean of its divisors is an integer number (73141285945).

Almost surely, 21041644665332 is an apocalyptic number.

1041644665332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1041644665332 is an abundant number, since it is smaller than the sum of its proper divisors (1591441628688).

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

1041644665332 is a wasteful number, since it uses less digits than its factorization.

1041644665332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440192 (or 440187 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 1041644665332 in words is "one trillion, forty-one billion, six hundred forty-four million, six hundred sixty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 80429 160858 241287 321716 359753 482574 719506 723861 965148 1079259 1439012 1447722 2158518 2895444 3237777 4317036 6475554 12951108 28934574037 57869148074 86803722111 115738296148 173607444222 260411166333 347214888444 520822332666 1041644665332