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2078959597072 = 242935919516397
BaseRepresentation
bin11110010000001011101…
…001011111011000010000
321100202011021020222110021
4132100023221133120100
5233030202124101242
64231021051113224
7303125362002001
oct36201351373020
97322137228407
102078959597072
11731755548836
12296abb442814
13121077c83c47
147289d3a11a8
1539129e88b67
hex1e40ba5f610

2078959597072 has 80 divisors (see below), whose sum is σ = 4181282380800. Its totient is φ = 1000170662400.

The previous prime is 2078959597067. The next prime is 2078959597073. The reversal of 2078959597072 is 2707959598702.

It is a junction number, because it is equal to n+sod(n) for n = 2078959596992 and 2078959597010.

It is not an unprimeable number, because it can be changed into a prime (2078959597073) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 324986578 + ... + 324992974.

It is an arithmetic number, because the mean of its divisors is an integer number (52266029760).

Almost surely, 22078959597072 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 2078959597072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090641190400).

2078959597072 is an abundant number, since it is smaller than the sum of its proper divisors (2102322783728).

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

2078959597072 is a wasteful number, since it uses less digits than its factorization.

2078959597072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8744 (or 8738 counting only the distinct ones).

The product of its (nonzero) digits is 200037600, while the sum is 70.

The spelling of 2078959597072 in words is "two trillion, seventy-eight billion, nine hundred fifty-nine million, five hundred ninety-seven thousand, seventy-two".

Divisors: 1 2 4 8 16 29 58 116 232 359 464 718 1436 1951 2872 3902 5744 6397 7804 10411 12794 15608 20822 25588 31216 41644 51176 56579 83288 102352 113158 166576 185513 226316 371026 452632 700409 742052 905264 1400818 1484104 2296523 2801636 2968208 4593046 5603272 9186092 11206544 12480547 18372184 20311861 24961094 36744368 40623722 49922188 66599167 81247444 99844376 133198334 162494888 199688752 266396668 324989776 361935863 532793336 723871726 1065586672 1447743452 2895486904 4480516373 5790973808 8961032746 17922065492 35844130984 71688261968 129934974817 259869949634 519739899268 1039479798536 2078959597072