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21115329664 = 2711132939779
BaseRepresentation
bin10011101010100100…
…100101110010000000
32000111120012212220211
4103222210211302000
5321221011022124
613411130443504
71345154224612
oct235244456200
960446185824
1021115329664
118a56064780
124113593594
131cb6795010
141044494db2
15838b2de94
hex4ea925c80

21115329664 has 128 divisors (see below), whose sum is σ = 51125256000. Its totient is φ = 8553861120.

The previous prime is 21115329661. The next prime is 21115329673. The reversal of 21115329664 is 46692351112.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (21115329661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 510927 + ... + 550705.

Almost surely, 221115329664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21115329664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25562628000).

21115329664 is an abundant number, since it is smaller than the sum of its proper divisors (30009926336).

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

21115329664 is a wasteful number, since it uses less digits than its factorization.

21115329664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39846 (or 39834 counting only the distinct ones).

The product of its digits is 77760, while the sum is 40.

The spelling of 21115329664 in words is "twenty-one billion, one hundred fifteen million, three hundred twenty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 13 16 22 26 29 32 44 52 58 64 88 104 116 128 143 176 208 232 286 319 352 377 416 464 572 638 704 754 832 928 1144 1276 1408 1508 1664 1856 2288 2552 3016 3712 4147 4576 5104 6032 8294 9152 10208 12064 16588 18304 20416 24128 33176 39779 40832 48256 66352 79558 132704 159116 265408 318232 437569 517127 530816 636464 875138 1034254 1153591 1272928 1750276 2068508 2307182 2545856 3500552 4137016 4614364 5091712 5688397 7001104 8274032 9228728 11376794 12689501 14002208 14996683 16548064 18457456 22753588 25379002 28004416 29993366 33096128 36914912 45507176 50758004 56008832 59986732 66192256 73829824 91014352 101516008 119973464 147659648 164963513 182028704 203032016 239946928 329927026 364057408 406064032 479893856 659854052 728114816 812128064 959787712 1319708104 1624256128 1919575424 2639416208 5278832416 10557664832 21115329664