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1983297755205 = 335139191229689
BaseRepresentation
bin11100110111000101110…
…000100001100001000101
321000121020102121220102000
4130313011300201201011
5224443243211131310
64115040413535513
7263200652523564
oct34670560414105
97017212556360
101983297755205
116a5125973098
122804624a4599
131150411640a0
146bdc655bbdb
15368cba1e4c0
hex1cdc5c21845

1983297755205 has 64 divisors (see below), whose sum is σ = 3801217728000. Its totient is φ = 975329496576.

The previous prime is 1983297755177. The next prime is 1983297755207. The reversal of 1983297755205 is 5025577923891.

1983297755205 is a `hidden beast` number, since 1 + 9 + 8 + 3 + 2 + 9 + 77 + 552 + 0 + 5 = 666.

It is not a de Polignac number, because 1983297755205 - 216 = 1983297689669 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1983297755207) 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, 998001 + ... + 2227689.

It is an arithmetic number, because the mean of its divisors is an integer number (59394027000).

Almost surely, 21983297755205 is an apocalyptic number.

1983297755205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1983297755205 is a deficient number, since it is larger than the sum of its proper divisors (1817919972795).

1983297755205 is a wasteful number, since it uses less digits than its factorization.

1983297755205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230635 (or 1230629 counting only the distinct ones).

The product of its (nonzero) digits is 47628000, while the sum is 63.

The spelling of 1983297755205 in words is "one trillion, nine hundred eighty-three billion, two hundred ninety-seven million, seven hundred fifty-five thousand, two hundred five".

Divisors: 1 3 5 9 13 15 27 39 45 65 117 135 195 351 585 919 1755 2757 4595 8271 11947 13785 24813 35841 41355 59735 107523 124065 179205 322569 537615 1229689 1612845 3689067 6148445 11067201 15985957 18445335 33201603 47957871 55336005 79929785 143873613 166008015 239789355 431620839 719368065 1130084191 2158104195 3390252573 5650420955 10170757719 14691094483 16951262865 30512273157 44073283449 50853788595 73455472415 132219850347 152561365785 220366417245 396659551041 661099251735 1983297755205