Search a number
-
+
2246163046040 = 2357111316741911
BaseRepresentation
bin100000101011111001110…
…000000001111010011000
321221201201222001020202102
4200223321300001322120
5243300120214433130
64435512325222532
7321165004605104
oct40537160017230
97851658036672
102246163046040
11796657533801
123033a3561a48
13133a7371a8b4
147aa01870904
153d66402b645
hex20af9c01e98

2246163046040 has 128 divisors (see below), whose sum is σ = 5201487083520. Its totient is φ = 872693606400.

The previous prime is 2246163046027. The next prime is 2246163046069. The reversal of 2246163046040 is 406403616422.

It is a junction number, because it is equal to n+sod(n) for n = 2246163045985 and 2246163046003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53572685 + ... + 53614595.

It is an arithmetic number, because the mean of its divisors is an integer number (40636617840).

Almost surely, 22246163046040 is an apocalyptic number.

2246163046040 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 2246163046040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2600743541760).

2246163046040 is an abundant number, since it is smaller than the sum of its proper divisors (2955324037480).

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

2246163046040 is a wasteful number, since it uses less digits than its factorization.

2246163046040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42273 (or 42269 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 38.

The spelling of 2246163046040 in words is "two trillion, two hundred forty-six billion, one hundred sixty-three million, forty-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 71 113 142 167 226 284 334 355 452 565 568 668 710 835 904 1130 1336 1420 1670 2260 2840 3340 4520 6680 8023 11857 16046 18871 23714 32092 37742 40115 41911 47428 59285 64184 75484 80230 83822 94355 94856 118570 150968 160460 167644 188710 209555 237140 320920 335288 377420 419110 474280 754840 838220 1339841 1676440 2679682 2975681 4735943 5359364 5951362 6699205 6999137 9471886 10718728 11902724 13398410 13998274 14878405 18943772 23679715 23805448 26796820 27996548 29756810 34995685 37887544 47359430 53593640 55993096 59513620 69991370 94718860 119027240 139982740 189437720 279965480 336251953 496938727 672503906 790902481 993877454 1345007812 1581804962 1681259765 1987754908 2484693635 2690015624 3163609924 3362519530 3954512405 3975509816 4969387270 6327219848 6725039060 7909024810 9938774540 13450078120 15818049620 19877549080 31636099240 56154076151 112308152302 224616304604 280770380755 449232609208 561540761510 1123081523020 2246163046040