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21205337159090 = 25723181308323603
BaseRepresentation
bin1001101001001010000001…
…00101101011010110110010
32210002012200101222101112002
410310211000211223112302
510234412012303042330
6113033333012334002
74316015010565340
oct464450045532662
983065611871462
1021205337159090
116836151005807
1224658a0614302
13baa868538836
145344b5530990
1526b8ed3c6e45
hex13494096b5b2

21205337159090 has 128 divisors (see below), whose sum is σ = 45787306586112. Its totient is φ = 6913339234560.

The previous prime is 21205337159089. The next prime is 21205337159093. The reversal of 21205337159090 is 9095173350212.

It is a super-3 number, since 3×212053371590903 (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (21205337159093) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 898405229 + ... + 898428831.

It is an arithmetic number, because the mean of its divisors is an integer number (357713332704).

Almost surely, 221205337159090 is an apocalyptic number.

21205337159090 is an abundant number, since it is smaller than the sum of its proper divisors (24581969427022).

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

21205337159090 is a wasteful number, since it uses less digits than its factorization.

21205337159090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26904.

The product of its (nonzero) digits is 510300, while the sum is 47.

The spelling of 21205337159090 in words is "twenty-one trillion, two hundred five billion, three hundred thirty-seven million, one hundred fifty-nine thousand, ninety".

Divisors: 1 2 5 7 10 14 23 35 46 70 115 161 181 230 322 362 805 905 1267 1610 1810 2534 3083 4163 6166 6335 8326 12670 15415 20815 21581 23603 29141 30830 41630 43162 47206 58282 70909 107905 118015 141818 145705 165221 215810 236030 291410 330442 354545 496363 542869 558023 709090 826105 992726 1085738 1116046 1652210 2481815 2714345 2790115 3800083 3906161 4272143 4963630 5428690 5580230 7600166 7812322 8544286 12834529 19000415 19530805 21360715 25669058 29905001 38000830 39061610 42721430 59810002 64172645 72768049 89841703 98259289 128345290 145536098 149525005 179683406 196518578 299050010 363840245 449208515 491296445 509376343 687815023 727680490 898417030 982592890 1018752686 1375630046 1673665127 2546881715 3347330254 3439075115 5093763430 6878150230 8368325635 11715655889 13171016869 16736651270 23431311778 26342033738 58578279445 65855084345 92197118083 117156558890 131710168690 184394236166 302933387987 460985590415 605866775974 921971180830 1514666939935 2120533715909 3029333879870 4241067431818 10602668579545 21205337159090