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3669909984 = 253313326737
BaseRepresentation
bin1101101010111110…
…0110000111100000
3100110202120202002000
43122233212013200
530003444104414
61404054524000
7156641502006
oct33257460740
910422522060
103669909984
111613628764
12865066600
13466419990
1426b58aa76
151672c0b09
hexdabe61e0

3669909984 has 96 divisors (see below), whose sum is σ = 11527316640. Its totient is φ = 1129199616.

The previous prime is 3669909853. The next prime is 3669910001. The reversal of 3669909984 is 4899099663.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 152137 + ... + 174600.

It is an arithmetic number, because the mean of its divisors is an integer number (120076215).

Almost surely, 23669909984 is an apocalyptic number.

It is an amenable number.

3669909984 is an abundant number, since it is smaller than the sum of its proper divisors (7857406656).

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

3669909984 is a wasteful number, since it uses less digits than its factorization.

3669909984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326769 (or 326755 counting only the distinct ones).

The product of its (nonzero) digits is 22674816, while the sum is 63.

The square root of 3669909984 is about 60579.7819738566. The cubic root of 3669909984 is about 1542.4761962481.

The spelling of 3669909984 in words is "three billion, six hundred sixty-nine million, nine hundred nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 11232 326737 653474 980211 1306948 1960422 2613896 2940633 3920844 4247581 5227792 5881266 7841688 8495162 8821899 10455584 11762532 12742743 15683376 16990324 17643798 23525064 25485486 31366752 33980648 35287596 38228229 47050128 50970972 67961296 70575192 76456458 94100256 101941944 114684687 135922592 141150384 152912916 203883888 229369374 282300768 305825832 407767776 458738748 611651664 917477496 1223303328 1834954992 3669909984