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1982753622369 = 3313127180124697
BaseRepresentation
bin11100110110100101010…
…100110100100101100001
321000112211111202002111000
4130312211110310211201
5224441134411403434
64114510415142213
7263151324466512
oct34664524644541
97015744662430
101982753622369
116a4976803033
12280330214969
13114c854c92b0
146bd74198a09
1536898d89b99
hex1cda5534961

1982753622369 has 64 divisors (see below), whose sum is σ = 3190175457280. Its totient is φ = 1209827404800.

The previous prime is 1982753622361. The next prime is 1982753622457. The reversal of 1982753622369 is 9632263572891.

1982753622369 is a `hidden beast` number, since 1 + 98 + 2 + 7 + 536 + 2 + 2 + 3 + 6 + 9 = 666.

It is not a de Polignac number, because 1982753622369 - 23 = 1982753622361 is a prime.

It is a super-2 number, since 2×19827536223692 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1982753622361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80270829 + ... + 80295525.

It is an arithmetic number, because the mean of its divisors is an integer number (49846491520).

Almost surely, 21982753622369 is an apocalyptic number.

It is an amenable number.

1982753622369 is a deficient number, since it is larger than the sum of its proper divisors (1207421834911).

1982753622369 is a wasteful number, since it uses less digits than its factorization.

1982753622369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26647 (or 26641 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The spelling of 1982753622369 in words is "one trillion, nine hundred eighty-two billion, seven hundred fifty-three million, six hundred twenty-two thousand, three hundred sixty-nine".

Divisors: 1 3 9 13 27 39 117 127 351 381 1143 1651 1801 3429 4953 5403 14859 16209 23413 24697 44577 48627 70239 74091 210717 222273 228727 321061 632151 666819 686181 963183 2058543 2889549 2973451 3136519 6175629 8668647 8920353 9409557 26761059 28228671 40774747 44479297 80283177 84686013 122324241 133437891 366972723 400313673 578230861 1100918169 1200941019 1734692583 5204077749 5648870719 15612233247 16946612157 50839836471 73435319347 152519509413 220305958041 660917874123 1982753622369