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132138098064 = 2434714565487
BaseRepresentation
bin111101100010000001…
…0110101110110010000
3110122001221010212210000
41323010002311312100
54131104323114224
6140411534010000
712355335205260
oct1730402656620
9418057125700
10132138098064
1151048569925
1221738946900
13c5cab4160b
1465774317a0
1536859040c9
hex1ec40b5d90

132138098064 has 100 divisors (see below), whose sum is σ = 437081163904. Its totient is φ = 37753739712.

The previous prime is 132138098063. The next prime is 132138098137. The reversal of 132138098064 is 460890831231.

132138098064 is a `hidden beast` number, since 132 + 1 + 380 + 9 + 80 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (132138098063) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 7273672 + ... + 7291815.

Almost surely, 2132138098064 is an apocalyptic number.

132138098064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132138098064 is an abundant number, since it is smaller than the sum of its proper divisors (304943065840).

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

132138098064 is a wasteful number, since it uses less digits than its factorization.

132138098064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14565514 (or 14565499 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 132138098064 in words is "one hundred thirty-two billion, one hundred thirty-eight million, ninety-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 9072 14565487 29130974 43696461 58261948 87392922 101958409 116523896 131089383 174785844 203916818 233047792 262178766 305875227 349571688 393268149 407833636 524357532 611750454 699143376 786536298 815667272 917625681 1048715064 1179804447 1223500908 1573072596 1631334544 1835251362 2097430128 2359608894 2447001816 2752877043 3146145192 3670502724 4719217788 4894003632 5505754086 6292290384 7341005448 8258631129 9438435576 11011508172 14682010896 16517262258 18876871152 22023016344 33034524516 44046032688 66069049032 132138098064