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1983864640512 = 21031933988909
BaseRepresentation
bin11100110111100111100…
…011000001010000000000
321000122200221022122212010
4130313213203001100000
5230000423321444022
64115212544132520
7263221005132456
oct34674743012000
97018627278763
101983864640512
116a5396963447
122805a0307140
13115101737091
146c03b9649d6
153691169a50c
hex1cde78c1400

1983864640512 has 88 divisors (see below), whose sum is σ = 5566023901600. Its totient is φ = 626483552256.

The previous prime is 1983864640507. The next prime is 1983864640523. The reversal of 1983864640512 is 2150464683891.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16936087 + ... + 17052822.

Almost surely, 21983864640512 is an apocalyptic number.

1983864640512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1983864640512 is an abundant number, since it is smaller than the sum of its proper divisors (3582159261088).

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

1983864640512 is a wasteful number, since it uses less digits than its factorization.

1983864640512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33988951 (or 33988933 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 57.

The spelling of 1983864640512 in words is "one trillion, nine hundred eighty-three billion, eight hundred sixty-four million, six hundred forty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1024 1216 1536 1824 2432 3072 3648 4864 7296 9728 14592 19456 29184 58368 33988909 67977818 101966727 135955636 203933454 271911272 407866908 543822544 645789271 815733816 1087645088 1291578542 1631467632 1937367813 2175290176 2583157084 3262935264 3874735626 4350580352 5166314168 6525870528 7749471252 8701160704 10332628336 13051741056 15498942504 17402321408 20665256672 26103482112 30997885008 34804642816 41330513344 52206964224 61995770016 82661026688 104413928448 123991540032 165322053376 247983080064 330644106752 495966160128 661288213504 991932320256 1983864640512