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21382170479428 = 221117371279604057
BaseRepresentation
bin1001101110010011011001…
…01011010000101101000100
32210201010010020001210220211
410313021230223100231010
510300311141120320203
6113250500012205204
74334545055163253
oct467115453205504
983633106053824
1021382170479428
1168a4144892660
122494011769804
13bc143a0a9925
1453cc8c93679a
152712ecab4c6d
hex13726cad0b44

21382170479428 has 96 divisors (see below), whose sum is σ = 44424648253440. Its totient is φ = 8893250703360.

The previous prime is 21382170479399. The next prime is 21382170479429. The reversal of 21382170479428 is 82497407128312.

It is a happy number.

It is a super-2 number, since 2×213821704794282 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21382170479429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35095576 + ... + 35699632.

It is an arithmetic number, because the mean of its divisors is an integer number (462756752640).

Almost surely, 221382170479428 is an apocalyptic number.

It is an amenable number.

21382170479428 is an abundant number, since it is smaller than the sum of its proper divisors (23042477774012).

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

21382170479428 is a wasteful number, since it uses less digits than its factorization.

21382170479428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605405 (or 605403 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 58.

The spelling of 21382170479428 in words is "twenty-one trillion, three hundred eighty-two billion, one hundred seventy million, four hundred seventy-nine thousand, four hundred twenty-eight".

Divisors: 1 2 4 11 17 22 34 37 44 68 74 148 187 374 407 629 748 814 1258 1279 1628 2516 2558 5116 6919 13838 14069 21743 27676 28138 43486 47323 56276 86972 94646 189292 239173 478346 520553 604057 804491 956692 1041106 1208114 1608982 2082212 2416228 3217964 6644627 8849401 10268969 13289254 17698802 20537938 22350109 26578508 35397604 41075876 44700218 89400436 112958659 225917318 245851199 379951853 451834636 491702398 759903706 772588903 983404796 1519807412 1545177806 3090355612 4179470383 8358940766 8498477933 13134011351 16717881532 16996955866 26268022702 28585789411 33993911732 52536045404 57171578822 114343157644 144474124861 288948249722 314443683521 485958419987 577896499444 628887367042 971916839974 1257774734084 1943833679948 5345542619857 10691085239714 21382170479428