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132094996544 = 267341146767
BaseRepresentation
bin111101100000101111…
…0011011000001000000
3110121221221001002121102
41323001132123001000
54131012304342134
6140403354113532
712354302642000
oct1730136330100
9417857032542
10132094996544
1151026200035
122172641b8a8
13c5c1c30164
146571812000
153681c3d37e
hex1ec179b040

132094996544 has 112 divisors (see below), whose sum is σ = 313144204800. Its totient is φ = 55230981120.

The previous prime is 132094996543. The next prime is 132094996547. The reversal of 132094996544 is 445699490231.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1320949965442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 132094996544.

It is not an unprimeable number, because it can be changed into a prime (132094996543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 826649 + ... + 973415.

It is an arithmetic number, because the mean of its divisors is an integer number (2795930400).

Almost surely, 2132094996544 is an apocalyptic number.

132094996544 is a gapful number since it is divisible by the number (14) 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 132094996544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156572102400).

132094996544 is an abundant number, since it is smaller than the sum of its proper divisors (181049208256).

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

132094996544 is an equidigital number, since it uses as much as digits as its factorization.

132094996544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146841 (or 146817 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 56.

The spelling of 132094996544 in words is "one hundred thirty-two billion, ninety-four million, nine hundred ninety-six thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 41 49 56 64 82 98 112 164 196 224 287 328 343 392 448 574 656 686 784 1148 1312 1372 1568 2009 2296 2624 2744 3136 4018 4592 5488 8036 9184 10976 14063 16072 18368 21952 28126 32144 56252 64288 112504 128576 146767 225008 293534 450016 587068 900032 1027369 1174136 2054738 2348272 4109476 4696544 6017447 7191583 8218952 9393088 12034894 14383166 16437904 24069788 28766332 32875808 42122129 48139576 50341081 57532664 65751616 84244258 96279152 100682162 115065328 168488516 192558304 201364324 230130656 294854903 336977032 385116608 402728648 460261312 589709806 673954064 805457296 1179419612 1347908128 1610914592 2063984321 2358839224 2695816256 3221829184 4127968642 4717678448 8255937284 9435356896 16511874568 18870713792 33023749136 66047498272 132094996544