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21051168444 = 223210736714891
BaseRepresentation
bin10011100110101111…
…110101011010111100
32000100002111011021100
4103212233311122330
5321103044342234
613400515333100
71343444656635
oct234657653274
960302434240
1021051168444
118a22921479
1240b5bb1190
131ca63bbcb7
141039b5288c
158331a8399
hex4e6bf56bc

21051168444 has 72 divisors (see below), whose sum is σ = 53859955968. Its totient is φ = 6932069280.

The previous prime is 21051168409. The next prime is 21051168497. The reversal of 21051168444 is 44486115012.

21051168444 is a `hidden beast` number, since 2 + 1 + 0 + 51 + 168 + 444 = 666.

It is a super-4 number, since 4×210511684444 (a number of 42 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21051168399 and 21051168408.

It is a congruent number.

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, 1406239 + ... + 1421129.

It is an arithmetic number, because the mean of its divisors is an integer number (748054944).

Almost surely, 221051168444 is an apocalyptic number.

It is an amenable number.

21051168444 is an abundant number, since it is smaller than the sum of its proper divisors (32808787524).

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

21051168444 is a wasteful number, since it uses less digits than its factorization.

21051168444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15375 (or 15370 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 21051168444 in words is "twenty-one billion, fifty-one million, one hundred sixty-eight thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 107 214 321 367 428 642 734 963 1101 1284 1468 1926 2202 3303 3852 4404 6606 13212 14891 29782 39269 44673 59564 78538 89346 117807 134019 157076 178692 235614 268038 353421 471228 536076 706842 1413684 1593337 3186674 4780011 5464997 6373348 9560022 10929994 14340033 16394991 19120044 21859988 28680066 32789982 49184973 57360132 65579964 98369946 196739892 584754679 1169509358 1754264037 2339018716 3508528074 5262792111 7017056148 10525584222 21051168444