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20675922260688 = 24331511933163973
BaseRepresentation
bin1001011001101111111010…
…00000000111001011010000
32201012121011120110000102000
410230313331000013023100
510202223242044320223
6111550215413554000
74232533425315462
oct454677500071320
981177146400360
1020675922260688
116651678106822
12239b170645900
13b6c967306246
14516a1188c132
1525cc651e3543
hex12cdfd0072d0

20675922260688 has 160 divisors (see below), whose sum is σ = 59771854951680. Its totient is φ = 6842748326400.

The previous prime is 20675922260663. The next prime is 20675922260731. The reversal of 20675922260688 is 88606222957602.

20675922260688 is a `hidden beast` number, since 206 + 7 + 5 + 92 + 2 + 260 + 6 + 88 = 666.

It is a super-2 number, since 2×206759222606882 (a number of 27 digits) contains 22 as substring.

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, 126011470 + ... + 126175442.

It is an arithmetic number, because the mean of its divisors is an integer number (373574093448).

Almost surely, 220675922260688 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 20675922260688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29885927475840).

20675922260688 is an abundant number, since it is smaller than the sum of its proper divisors (39095932690992).

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

20675922260688 is a wasteful number, since it uses less digits than its factorization.

20675922260688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166074 (or 166062 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 20675922260688 in words is "twenty trillion, six hundred seventy-five billion, nine hundred twenty-two million, two hundred sixty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 151 216 302 432 453 604 906 1208 1359 1812 1933 2416 2718 3624 3866 4077 5436 5799 7248 7732 8154 10872 11598 15464 16308 17397 21744 23196 30928 32616 34794 46392 52191 65232 69588 92784 104382 139176 163973 208764 278352 291883 327946 417528 491919 583766 655892 835056 875649 983838 1167532 1311784 1475757 1751298 1967676 2335064 2623568 2626947 2951514 3502596 3935352 4427271 4670128 5253894 5903028 7005192 7870704 7880841 8854542 10507788 11806056 14010384 15761682 17709084 21015576 23612112 24759923 31523364 35418168 42031152 49519846 63046728 70836336 74279769 99039692 126093456 148559538 198079384 222839307 297119076 316959809 396158768 445678614 594238152 633919618 668517921 891357228 950879427 1188476304 1267839236 1337035842 1782714456 1901758854 2535678472 2674071684 2852638281 3565428912 3803517708 5071356944 5348143368 5705276562 7607035416 8557914843 10696286736 11410553124 15214070832 17115829686 22821106248 34231659372 45642212496 47860931159 68463318744 95721862318 136926637488 143582793477 191443724636 287165586954 382887449272 430748380431 574331173908 765774898544 861496760862 1148662347816 1292245141293 1722993521724 2297324695632 2584490282586 3445987043448 5168980565172 6891974086896 10337961130344 20675922260688