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1365995664 = 24341195819
BaseRepresentation
bin101000101101011…
…0111000010010000
310112012100202210000
41101122313002100
510244143330124
6343314010000
745564525435
oct12132670220
93465322700
101365995664
11641083840
12321576900
1318a003c77
14cd5bdb8c
157edc96c9
hex516b7090

1365995664 has 100 divisors (see below), whose sum is σ = 4313049840. Its totient is φ = 413933760.

The previous prime is 1365995651. The next prime is 1365995669. The reversal of 1365995664 is 4665995631.

1365995664 is a `hidden beast` number, since 13 + 65 + 9 + 9 + 566 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1365995664.

It is not an unprimeable number, because it can be changed into a prime (1365995669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33654 + ... + 62165.

Almost surely, 21365995664 is an apocalyptic number.

It is an amenable number.

1365995664 is an abundant number, since it is smaller than the sum of its proper divisors (2947054176).

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

1365995664 is a wasteful number, since it uses less digits than its factorization.

1365995664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95850 (or 95835 counting only the distinct ones).

The product of its digits is 5248800, while the sum is 54.

The square root of 1365995664 is about 36959.3785662043. The cubic root of 1365995664 is about 1109.5573984126.

The spelling of 1365995664 in words is "one billion, three hundred sixty-five million, nine hundred ninety-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 264 297 324 396 432 528 594 648 792 891 1188 1296 1584 1782 2376 3564 4752 7128 14256 95819 191638 287457 383276 574914 766552 862371 1054009 1149828 1533104 1724742 2108018 2299656 2587113 3162027 3449484 4216036 4599312 5174226 6324054 6898968 7761339 8432072 9486081 10348452 12648108 13797936 15522678 16864144 18972162 20696904 25296216 28458243 31045356 37944324 41393808 50592432 56916486 62090712 75888648 85374729 113832972 124181424 151777296 170749458 227665944 341498916 455331888 682997832 1365995664