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2046066326080 = 26579071007081
BaseRepresentation
bin11101110001100011000…
…011100111101001000000
321020121020212202200102021
4131301203003213221000
5232010320434413310
64203541102131224
7300552300546520
oct35614303475100
97217225680367
102046066326080
11719806111457
1229065b580b14
1311ac35365b9a
147105c9b3680
153835234e5da
hex1dc630e7a40

2046066326080 has 112 divisors (see below), whose sum is σ = 5574368059776. Its totient is φ = 700734320640.

The previous prime is 2046066326039. The next prime is 2046066326093. The reversal of 2046066326080 is 806236606402.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 1528140 + ... + 2535220.

Almost surely, 22046066326080 is an apocalyptic number.

2046066326080 is a gapful number since it is divisible by the number (20) 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 2046066326080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2787184029888).

2046066326080 is an abundant number, since it is smaller than the sum of its proper divisors (3528301733696).

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

2046066326080 is a wasteful number, since it uses less digits than its factorization.

2046066326080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008012 (or 1008002 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 43.

The spelling of 2046066326080 in words is "two trillion, forty-six billion, sixty-six million, three hundred twenty-six thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 907 1120 1814 2240 3628 4535 6349 7256 9070 12698 14512 18140 25396 29024 31745 36280 50792 58048 63490 72560 101584 126980 145120 203168 253960 290240 406336 507920 1007081 1015840 2014162 2031680 4028324 5035405 7049567 8056648 10070810 14099134 16113296 20141620 28198268 32226592 35247835 40283240 56396536 64453184 70495670 80566480 112793072 140991340 161132960 225586144 281982680 322265920 451172288 563965360 913422467 1127930720 1826844934 2255861440 3653689868 4567112335 6393957269 7307379736 9134224670 12787914538 14614759472 18268449340 25575829076 29229518944 31969786345 36536898680 51151658152 58459037888 63939572690 73073797360 102303316304 127879145380 146147594720 204606632608 255758290760 292295189440 409213265216 511516581520 1023033163040 2046066326080