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189427509936 = 24327199890743
BaseRepresentation
bin1011000001101011000…
…0100110101010110000
3200002221112021112122100
42300122300212222300
511100421420304221
6223004412540400
716454122160550
oct2603260465260
9602845245570
10189427509936
1173376988a05
1230866a81700
1314b2ab488b2
14924dcd7160
154dda1ce926
hex2c1ac26ab0

189427509936 has 120 divisors (see below), whose sum is σ = 637755173120. Its totient is φ = 51273606528.

The previous prime is 189427509881. The next prime is 189427509949. The reversal of 189427509936 is 639905724981.

189427509936 is a `hidden beast` number, since 1 + 8 + 94 + 2 + 7 + 509 + 9 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4926220 + ... + 4964523.

It is a 1-persistent number, because it is pandigital, but 2⋅189427509936 = 378855019872 is not.

Almost surely, 2189427509936 is an apocalyptic number.

189427509936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

189427509936 is an abundant number, since it is smaller than the sum of its proper divisors (448327663184).

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

189427509936 is a wasteful number, since it uses less digits than its factorization.

189427509936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9890783 (or 9890774 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 189427509936 in words is "one hundred eighty-nine billion, four hundred twenty-seven million, five hundred nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 36 38 42 48 56 57 63 72 76 84 112 114 126 133 144 152 168 171 228 252 266 304 336 342 399 456 504 532 684 798 912 1008 1064 1197 1368 1596 2128 2394 2736 3192 4788 6384 9576 19152 9890743 19781486 29672229 39562972 59344458 69235201 79125944 89016687 118688916 138470402 158251888 178033374 187924117 207705603 237377832 276940804 356066748 375848234 415411206 474755664 553881608 563772351 623116809 712133496 751696468 830822412 1107763216 1127544702 1246233618 1315468819 1424266992 1503392936 1661644824 1691317053 2255089404 2492467236 2630937638 3006785872 3323289648 3382634106 3946406457 4510178808 4984934472 5261875276 6765268212 7892812914 9020357616 9969868944 10523750552 11839219371 13530536424 15785625828 21047501104 23678438742 27061072848 31571251656 47356877484 63142503312 94713754968 189427509936