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20761957116672 = 283195477259783
BaseRepresentation
bin1001011100010000001010…
…00101000010101100000000
32201111211020111012112111120
410232020011011002230000
510210130442010213142
6112053524511312240
74242000436450422
oct456100505025400
981454214175446
1020761957116672
116685107590492
1223b398151b680
13b77ac87bc155
1451ac53d0a812
152600ed3d27ec
hex12e205142b00

20761957116672 has 144 divisors (see below), whose sum is σ = 58176195221760. Its totient is φ = 6555185197056.

The previous prime is 20761957116671. The next prime is 20761957116689. The reversal of 20761957116672 is 27661175916702.

It is not an unprimeable number, because it can be changed into a prime (20761957116671) 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, 79790493 + ... + 80050275.

Almost surely, 220761957116672 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 20761957116672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29088097610880).

20761957116672 is an abundant number, since it is smaller than the sum of its proper divisors (37414238105088).

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

20761957116672 is a wasteful number, since it uses less digits than its factorization.

20761957116672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265298 (or 265284 counting only the distinct ones).

The product of its (nonzero) digits is 13335840, while the sum is 60.

The spelling of 20761957116672 in words is "twenty trillion, seven hundred sixty-one billion, nine hundred fifty-seven million, one hundred sixteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 608 768 912 1216 1824 2432 3648 4864 5477 7296 10954 14592 16431 21908 32862 43816 65724 87632 104063 131448 175264 208126 259783 262896 312189 350528 416252 519566 525792 624378 701056 779349 832504 1039132 1051584 1248756 1402112 1558698 1665008 2078264 2103168 2497512 3117396 3330016 4156528 4206336 4935877 4995024 6234792 6660032 8313056 9871754 9990048 12469584 13320064 14807631 16626112 19743508 19980096 24939168 26640128 29615262 33252224 39487016 39960192 49878336 59230524 66504448 78974032 79920384 99756672 118461048 157948064 199513344 236922096 315896128 473844192 631792256 947688384 1263584512 1422831491 1895376768 2845662982 3790753536 4268494473 5691325964 8536988946 11382651928 17073977892 22765303856 27033798329 34147955784 45530607712 54067596658 68295911568 81101394987 91061215424 108135193316 136591823136 162202789974 182122430848 216270386632 273183646272 324405579948 364244861696 432540773264 546367292544 648811159896 865081546528 1092734585088 1297622319792 1730163093056 2595244639584 3460326186112 5190489279168 6920652372224 10380978558336 20761957116672