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13821071420 = 2251382964123
BaseRepresentation
bin11001101111100110…
…01101000000111100
31022200012210011201002
430313303031000330
5211301143241140
610203241305432
7666333111602
oct146763150074
938605704632
1013821071420
1159526a8582
122818795278
1313c3521890
1495181b872
1555d58c415
hex337ccd03c

13821071420 has 48 divisors (see below), whose sum is σ = 31295076960. Its totient is φ = 5096929536.

The previous prime is 13821071413. The next prime is 13821071441. The reversal of 13821071420 is 2417012831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183479 + ... + 247601.

It is an arithmetic number, because the mean of its divisors is an integer number (651980770).

Almost surely, 213821071420 is an apocalyptic number.

13821071420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13821071420 is an abundant number, since it is smaller than the sum of its proper divisors (17474005540).

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

13821071420 is a wasteful number, since it uses less digits than its factorization.

13821071420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64974 (or 64972 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The spelling of 13821071420 in words is "thirteen billion, eight hundred twenty-one million, seventy-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 829 1658 3316 4145 8290 10777 16580 21554 43108 53885 64123 107770 128246 215540 256492 320615 641230 833599 1282460 1667198 3334396 4167995 8335990 16671980 53157967 106315934 212631868 265789835 531579670 691053571 1063159340 1382107142 2764214284 3455267855 6910535710 13821071420