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135545484032 = 287229372607
BaseRepresentation
bin111111000111100100…
…0111111001100000000
3110221212101202000121022
41332033020333030000
54210044120442112
6142134014045012
712535641414200
oct1761710771400
9427771660538
10135545484032
115253698a392
1222329aa9768
13ca21a5222a
1467bbba2400
1537d4b19d72
hex1f8f23f300

135545484032 has 108 divisors (see below), whose sum is σ = 325588596480. Its totient is φ = 56087635968.

The previous prime is 135545484023. The next prime is 135545484047. The reversal of 135545484032 is 230484545531.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 177473 + ... + 550079.

Almost surely, 2135545484032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135545484032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162794298240).

135545484032 is an abundant number, since it is smaller than the sum of its proper divisors (190043112448).

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

135545484032 is an equidigital number, since it uses as much as digits as its factorization.

135545484032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372666 (or 372645 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 44.

The spelling of 135545484032 in words is "one hundred thirty-five billion, five hundred forty-five million, four hundred eighty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 64 98 112 116 128 196 203 224 232 256 392 406 448 464 784 812 896 928 1421 1568 1624 1792 1856 2842 3136 3248 3712 5684 6272 6496 7424 11368 12544 12992 22736 25984 45472 51968 90944 181888 363776 372607 745214 1490428 2608249 2980856 5216498 5961712 10432996 10805603 11923424 18257743 20865992 21611206 23846848 36515486 41731984 43222412 47693696 73030972 75639221 83463968 86444824 95387392 146061944 151278442 166927936 172889648 292123888 302556884 333855872 345779296 529474547 584247776 605113768 667711744 691558592 1058949094 1168495552 1210227536 1383117184 2117898188 2336991104 2420455072 2766234368 4235796376 4673982208 4840910144 8471592752 9681820288 16943185504 19363640576 33886371008 67772742016 135545484032