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134325765432 = 233219811712097
BaseRepresentation
bin111110100011001110…
…0001000010100111000
3110211201101121220020100
41331012130020110320
54200044343443212
6141413003155400
712463501111245
oct1750634102470
9424641556210
10134325765432
1151a70435791
1222049515b60
13c889145751
146703bbc5cc
1537629d6bdc
hex1f46708538

134325765432 has 96 divisors (see below), whose sum is σ = 383025099600. Its totient is φ = 42409930752.

The previous prime is 134325765383. The next prime is 134325765443. The reversal of 134325765432 is 234567523431.

It is a happy number.

134325765432 is a `hidden beast` number, since 1 + 3 + 4 + 32 + 5 + 76 + 543 + 2 = 666.

It is a super-2 number, since 2×1343257654322 (a number of 23 digits) contains 22 as substring.

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, 11098008 + ... + 11110104.

Almost surely, 2134325765432 is an apocalyptic number.

134325765432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

134325765432 is an abundant number, since it is smaller than the sum of its proper divisors (248699334168).

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

134325765432 is a wasteful number, since it uses less digits than its factorization.

134325765432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20245 (or 20238 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 45.

The spelling of 134325765432 in words is "one hundred thirty-four billion, three hundred twenty-five million, seven hundred sixty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 8117 12097 16234 24194 24351 32468 36291 48388 48702 64936 72582 73053 96776 97404 108873 145164 146106 154223 194808 217746 229843 290328 292212 308446 435492 459686 462669 584424 616892 689529 870984 919372 925338 1233784 1379058 1388007 1838744 1850676 2068587 2758116 2776014 3701352 4137174 5516232 5552028 8274348 11104056 16548696 98191349 196382698 294574047 392765396 589148094 785530792 883722141 1178296188 1767444282 1865635631 2356592376 3534888564 3731271262 5596906893 7069777128 7462542524 11193813786 14925085048 16790720679 22387627572 33581441358 44775255144 67162882716 134325765432