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2005973469 = 321997712007
BaseRepresentation
bin111011110010000…
…1011100111011101
312011210121000021200
41313210023213131
513102012122334
6531014550113
7100465331103
oct16744134735
95153530250
102005973469
1193a357615
1247b968339
1325c789266
141505b1c73
15bb192799
hex7790b9dd

2005973469 has 24 divisors (see below), whose sum is σ = 3053394240. Its totient is φ = 1265528448.

The previous prime is 2005973467. The next prime is 2005973479. The reversal of 2005973469 is 9643795002.

It is a happy number.

2005973469 is a `hidden beast` number, since 20 + 0 + 597 + 34 + 6 + 9 = 666.

It is not a de Polignac number, because 2005973469 - 21 = 2005973467 is a prime.

It is a super-2 number, since 2×20059734692 = 8047859116663787922, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005973461) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 161064 + ... + 173070.

It is an arithmetic number, because the mean of its divisors is an integer number (127224760).

Almost surely, 22005973469 is an apocalyptic number.

It is an amenable number.

2005973469 is a deficient number, since it is larger than the sum of its proper divisors (1047420771).

2005973469 is a wasteful number, since it uses less digits than its factorization.

2005973469 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13009 (or 13006 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 2005973469 is about 44788.0951704803. The cubic root of 2005973469 is about 1261.1741530485.

It can be divided in two parts, 20059 and 73469, that added together give a triangular number (93528 = T432).

The spelling of 2005973469 in words is "two billion, five million, nine hundred seventy-three thousand, four hundred sixty-nine".

Divisors: 1 3 9 19 57 171 977 2931 8793 12007 18563 36021 55689 108063 167067 228133 684399 2053197 11730839 35192517 105577551 222885941 668657823 2005973469