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2079203990832 = 24352392237551
BaseRepresentation
bin11110010000011010001…
…101110001110100110000
321100202210022010110200000
4132100122031301310300
5233031202210201312
64231101221230000
7303134420214153
oct36203215616460
97322708113600
102079203990832
117318704a2451
12296b69262300
131210b67b2937
14728c3a1bc9a
1539141661adc
hex1e41a371d30

2079203990832 has 120 divisors (see below), whose sum is σ = 6059648824320. Its totient is φ = 690167822400.

The previous prime is 2079203990807. The next prime is 2079203990873. The reversal of 2079203990832 is 2380993029702.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189544 + ... + 2048007.

It is an arithmetic number, because the mean of its divisors is an integer number (50497073536).

Almost surely, 22079203990832 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 2079203990832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3029824412160).

2079203990832 is an abundant number, since it is smaller than the sum of its proper divisors (3980444833488).

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

2079203990832 is a wasteful number, since it uses less digits than its factorization.

2079203990832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2237813 (or 2237795 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 2079203990832 in words is "two trillion, seventy-nine billion, two hundred three million, nine hundred ninety thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 239 243 324 432 478 486 648 717 956 972 1296 1434 1912 1944 2151 2868 3824 3888 4302 5736 6453 8604 11472 12906 17208 19359 25812 34416 38718 51624 58077 77436 103248 116154 154872 232308 309744 464616 929232 2237551 4475102 6712653 8950204 13425306 17900408 20137959 26850612 35800816 40275918 53701224 60413877 80551836 107402448 120827754 161103672 181241631 241655508 322207344 362483262 483311016 534774689 543724893 724966524 966622032 1069549378 1087449786 1449933048 1604324067 2139098756 2174899572 2899866096 3208648134 4278197512 4349799144 4812972201 6417296268 8556395024 8699598288 9625944402 12834592536 14438916603 19251888804 25669185072 28877833206 38503777608 43316749809 57755666412 77007555216 86633499618 115511332824 129950249427 173266999236 231022665648 259900498854 346533998472 519800997708 693067996944 1039601995416 2079203990832