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17891375420 = 2252983419887
BaseRepresentation
bin10000101010011010…
…001011100100111100
31201011212210001010002
4100222122023210330
5243120143003140
612115202133432
71202236116242
oct205232134474
951155701102
1017891375420
117651240186
123573951278
1318c188a299
14c1a232792
156eaa9d415
hex42a68b93c

17891375420 has 96 divisors (see below), whose sum is σ = 39474086400. Its totient is φ = 6802552064.

The previous prime is 17891375389. The next prime is 17891375423. The reversal of 17891375420 is 2457319871.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17891375423) 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, 20170217 + ... + 20171103.

It is an arithmetic number, because the mean of its divisors is an integer number (411188400).

Almost surely, 217891375420 is an apocalyptic number.

17891375420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17891375420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19737043200).

17891375420 is an abundant number, since it is smaller than the sum of its proper divisors (21582710980).

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

17891375420 is a wasteful number, since it uses less digits than its factorization.

17891375420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 47.

The spelling of 17891375420 in words is "seventeen billion, eight hundred ninety-one million, three hundred seventy-five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 83 116 145 166 290 332 415 419 580 830 838 887 1660 1676 1774 2095 2407 3548 4190 4435 4814 8380 8870 9628 12035 12151 17740 24070 24302 25723 34777 48140 48604 51446 60755 69554 73621 102892 121510 128615 139108 147242 173885 243020 257230 294484 347770 368105 371653 514460 695540 736210 743306 1008533 1472420 1486612 1858265 2017066 2135009 3716530 4034132 4270018 5042665 7433060 8540036 10085330 10675045 10777937 20170660 21350090 21555874 30847199 42700180 43111748 53889685 61694398 107779370 123388796 154235995 215558740 308471990 616943980 894568771 1789137542 3578275084 4472843855 8945687710 17891375420