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21612637872 = 2432742150929
BaseRepresentation
bin10100001000001101…
…101010111010110000
32001210012222202112100
4110020031222322300
5323230313402442
613532333500400
71363403251020
oct241015527260
961705882470
1021612637872
1191908527a1
124232041700
132065816b27
141090549a80
1586761484c
hex50836aeb0

21612637872 has 120 divisors (see below), whose sum is σ = 69291691040. Its totient is φ = 6160250880.

The previous prime is 21612637867. The next prime is 21612637901. The reversal of 21612637872 is 27873621612.

21612637872 is a `hidden beast` number, since 2 + 1 + 6 + 1 + 2 + 637 + 8 + 7 + 2 = 666.

It is a super-2 number, since 2×216126378722 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 398904 + ... + 449832.

Almost surely, 221612637872 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 21612637872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34645845520).

21612637872 is an abundant number, since it is smaller than the sum of its proper divisors (47679053168).

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

21612637872 is a wasteful number, since it uses less digits than its factorization.

21612637872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51371 (or 51362 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The spelling of 21612637872 in words is "twenty-one billion, six hundred twelve million, six hundred thirty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 421 504 842 1008 1263 1684 2526 2947 3368 3789 5052 5894 6736 7578 8841 10104 11788 15156 17682 20208 23576 26523 30312 35364 47152 50929 53046 60624 70728 101858 106092 141456 152787 203716 212184 305574 356503 407432 424368 458361 611148 713006 814864 916722 1069509 1222296 1426012 1833444 2139018 2444592 2852024 3208527 3666888 4278036 5704048 6417054 7333776 8556072 12834108 17112144 21441109 25668216 42882218 51336432 64323327 85764436 128646654 150087763 171528872 192969981 257293308 300175526 343057744 385939962 450263289 514586616 600351052 771879924 900526578 1029173232 1200702104 1350789867 1543759848 1801053156 2401404208 2701579734 3087519696 3602106312 5403159468 7204212624 10806318936 21612637872