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21000420046704 = 2437193881847601
BaseRepresentation
bin1001100011001100010101…
…00100111011011101110000
32202100121202101021111220010
410301212022210323131300
510223032330012443304
6112355243151414520
74265141662064610
oct461461244733560
982317671244803
1021000420046704
11676725670026a
122432032224440
13b9443c5bc607
145285d63a6a40
15266408420789
hex13198a93b770

21000420046704 has 160 divisors (see below), whose sum is σ = 65281356725760. Its totient is φ = 5682852864000.

The previous prime is 21000420046643. The next prime is 21000420046717. The reversal of 21000420046704 is 40764002400012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24352504 + ... + 25200104.

It is an arithmetic number, because the mean of its divisors is an integer number (408008479536).

Almost surely, 221000420046704 is an apocalyptic number.

21000420046704 is a gapful number since it is divisible by the number (24) 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 21000420046704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32640678362880).

21000420046704 is an abundant number, since it is smaller than the sum of its proper divisors (44280936679056).

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

21000420046704 is a wasteful number, since it uses less digits than its factorization.

21000420046704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851519 (or 851513 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

Adding to 21000420046704 its reverse (40764002400012), we get a palindrome (61764422446716).

The spelling of 21000420046704 in words is "twenty-one trillion, four hundred twenty million, forty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1596 2128 3192 3881 6384 7762 11643 15524 23286 27167 31048 46572 54334 62096 73739 81501 93144 108668 147478 163002 186288 217336 221217 294956 326004 434672 442434 516173 589912 652008 847601 884868 1032346 1179824 1304016 1548519 1695202 1769736 2064692 2542803 3097038 3390404 3539472 4129384 5085606 5933207 6194076 6780808 8258768 10171212 11866414 12388152 13561616 16104419 17799621 20342424 23732828 24776304 32208838 35599242 40684848 47465656 48313257 64417676 71198484 94931312 96626514 112730933 128835352 142396968 193253028 225461866 257670704 284793936 338192799 386506056 450923732 676385598 773012112 901847464 1352771196 1803694928 2705542392 3289539481 5411084784 6579078962 9868618443 13158157924 19737236886 23026776367 26316315848 39474473772 46053552734 52632631696 62501250139 69080329101 78948947544 92107105468 125002500278 138160658202 157897895088 184214210936 187503750417 250005000556 276321316404 368428421872 375007500834 437508750973 500010001112 552642632808 750015001668 875017501946 1000020002224 1105285265616 1312526252919 1500030003336 1750035003892 2625052505838 3000060006672 3500070007784 5250105011676 7000140015568 10500210023352 21000420046704