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21049338936 = 23317194336271
BaseRepresentation
bin10011100110101000…
…110110110000111000
32000022222001012122210
4103212220312300320
5321102112321221
613400412215120
71343423300043
oct234650666070
960288035583
1021049338936
118a2189198a
1240b546a4a0
131ca5bcb352
1410397d7c5a
15832e46276
hex4e6a36c38

21049338936 has 128 divisors (see below), whose sum is σ = 58796236800. Its totient is φ = 6240706560.

The previous prime is 21049338929. The next prime is 21049338941. The reversal of 21049338936 is 63983394012.

It is a happy number.

It is a super-3 number, since 3×210493389363 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 31 ways as a sum of consecutive naturals, for example, 3353481 + ... + 3359751.

It is an arithmetic number, because the mean of its divisors is an integer number (459345600).

Almost surely, 221049338936 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 21049338936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29398118400).

21049338936 is an abundant number, since it is smaller than the sum of its proper divisors (37746897864).

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

21049338936 is a wasteful number, since it uses less digits than its factorization.

21049338936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6749 (or 6745 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The spelling of 21049338936 in words is "twenty-one billion, forty-nine million, three hundred thirty-eight thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 17 19 24 34 38 51 57 68 76 102 114 136 152 204 228 323 408 433 456 646 866 969 1292 1299 1732 1938 2584 2598 3464 3876 5196 6271 7361 7752 8227 10392 12542 14722 16454 18813 22083 24681 25084 29444 32908 37626 44166 49362 50168 58888 65816 75252 88332 98724 106607 119149 139859 150504 176664 197448 213214 238298 279718 319821 357447 419577 426428 476596 559436 639642 714894 839154 852856 953192 1118872 1279284 1429788 1678308 2025533 2558568 2715343 2859576 3356616 4051066 5430686 6076599 8102132 8146029 10861372 12153198 16204264 16292058 21722744 24306396 32584116 46160831 48612792 51591517 65168232 92321662 103183034 138482493 154774551 184643324 206366068 276964986 309549102 369286648 412732136 553929972 619098204 877055789 1107859944 1238196408 1754111578 2631167367 3508223156 5262334734 7016446312 10524669468 21049338936