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21041666688 = 273727192879
BaseRepresentation
bin10011100110001011…
…100101101010000000
32000022102121102022110
4103212023211222000
5321043131313223
613355535535320
71343301134010
oct234613455200
960272542273
1021041666688
118a18521689
1240b298a540
131ca4443163
14103879bc40
1583242cd93
hex4e62e5a80

21041666688 has 128 divisors (see below), whose sum is σ = 63922176000. Its totient is φ = 6007606272.

The previous prime is 21041666651. The next prime is 21041666689. The reversal of 21041666688 is 88666614012.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (21041666689) 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, 7307233 + ... + 7310111.

It is an arithmetic number, because the mean of its divisors is an integer number (499392000).

Almost surely, 221041666688 is an apocalyptic number.

21041666688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21041666688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31961088000).

21041666688 is an abundant number, since it is smaller than the sum of its proper divisors (42880509312).

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

21041666688 is a wasteful number, since it uses less digits than its factorization.

21041666688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5622 (or 5610 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 21041666688 in words is "twenty-one billion, forty-one million, six hundred sixty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 2719 2879 5438 5758 8157 8637 10876 11516 16314 17274 19033 20153 21752 23032 32628 34548 38066 40306 43504 46064 57099 60459 65256 69096 76132 80612 87008 92128 114198 120918 130512 138192 152264 161224 174016 184256 228396 241836 261024 276384 304528 322448 348032 368512 456792 483672 522048 552768 609056 644896 913584 967344 1044096 1105536 1218112 1289792 1827168 1934688 2436224 2579584 3654336 3869376 7308672 7738752 7828001 15656002 23484003 31312004 46968006 54796007 62624008 93936012 109592014 125248016 164388021 187872024 219184028 250496032 328776042 375744048 438368056 500992064 657552084 751488096 876736112 1001984128 1315104168 1502976192 1753472224 2630208336 3005952384 3506944448 5260416672 7013888896 10520833344 21041666688