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18427465400 = 23521925718869
BaseRepresentation
bin10001001010010111…
…001100111010111000
31202120020112020022112
4101022113030322320
5300214412343100
612244312311452
71221435604631
oct211227147270
952506466275
1018427465400
1178a6907553
1236a33a2588
13197896a2a6
14c6b500888
1572cb94b35
hex44a5cceb8

18427465400 has 96 divisors (see below), whose sum is σ = 45276678000. Its totient is φ = 6955499520.

The previous prime is 18427465391. The next prime is 18427465411. The reversal of 18427465400 is 456472481.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 967166 + ... + 986034.

Almost surely, 218427465400 is an apocalyptic number.

18427465400 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 18427465400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22638339000).

18427465400 is an abundant number, since it is smaller than the sum of its proper divisors (26849212600).

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

18427465400 is a wasteful number, since it uses less digits than its factorization.

18427465400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19161 (or 19152 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 41.

The spelling of 18427465400 in words is "eighteen billion, four hundred twenty-seven million, four hundred sixty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 257 380 475 514 760 950 1028 1285 1900 2056 2570 3800 4883 5140 6425 9766 10280 12850 18869 19532 24415 25700 37738 39064 48830 51400 75476 94345 97660 122075 150952 188690 195320 244150 358511 377380 471725 488300 717022 754760 943450 976600 1434044 1792555 1886900 2868088 3585110 3773800 4849333 7170220 8962775 9698666 14340440 17925550 19397332 24246665 35851100 38794664 48493330 71702200 92137327 96986660 121233325 184274654 193973320 242466650 368549308 460686635 484933300 737098616 921373270 969866600 1842746540 2303433175 3685493080 4606866350 9213732700 18427465400