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20339667042304 = 2167922232
BaseRepresentation
bin1001001111111101100101…
…01000010000000000000000
32200000110020100221001210211
410213332302220100000000
510131221114230323204
6111131525233403504
74166330624161021
oct447766250200000
980013210831724
1020339667042304
116532005878325
122345b69409594
13b4703a1c7abc
14504633658c48
15254134bac804
hex127fb2a10000

20339667042304 has 153 divisors (see below), whose sum is σ = 41386050059823. Its totient is φ = 9996074090496.

The previous prime is 20339667042293. The next prime is 20339667042323. The reversal of 20339667042304 is 40324076693302.

The square root of 20339667042304 is 4509952.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 91209269137 + ... + 91209269359.

Almost surely, 220339667042304 is an apocalyptic number.

20339667042304 is the 4509952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20339667042304

20339667042304 is an abundant number, since it is smaller than the sum of its proper divisors (21046383017519).

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

20339667042304 is an frugal number, since it uses more digits than its factorization.

20339667042304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 49.

Multiplying 20339667042304 by its sum of digits (49), we get a square (996643685072896 = 315696642).

The spelling of 20339667042304 in words is "twenty trillion, three hundred thirty-nine billion, six hundred sixty-seven million, forty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 79 128 158 223 256 316 446 512 632 892 1024 1264 1784 2048 2528 3568 4096 5056 6241 7136 8192 10112 12482 14272 16384 17617 20224 24964 28544 32768 35234 40448 49729 49928 57088 65536 70468 80896 99458 99856 114176 140936 161792 198916 199712 228352 281872 323584 397832 399424 456704 563744 647168 795664 798848 913408 1127488 1294336 1391743 1591328 1597696 1826816 2254976 2588672 2783486 3182656 3195392 3653632 3928591 4509952 5177344 5566972 6365312 6390784 7307264 7857182 9019904 11133944 12730624 12781568 14614528 15714364 18039808 22267888 25461248 25563136 31428728 36079616 44535776 50922496 51126272 62857456 72159232 89071552 101844992 102252544 125714912 144318464 178143104 203689984 204505088 251429824 288636928 310358689 356286208 407379968 409010176 502859648 577273856 620717378 712572416 814759936 1005719296 1154547712 1241434756 1425144832 1629519872 2011438592 2482869512 2850289664 3259039744 4022877184 4965739024 5700579328 8045754368 9931478048 11401158656 16091508736 19862956096 22802317312 32183017472 39725912192 45604634624 64366034944 79451824384 91209269248 128732069888 158903648768 257464139776 317807297536 635614595072 1271229190144 2542458380288 5084916760576 10169833521152 20339667042304