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132723266104 = 231113537273011
BaseRepresentation
bin111101110011011101…
…1000101001000111000
3110200120201020111102101
41323212323011020320
54133304124003404
6140550000113144
712406002101452
oct1734673051070
9420521214371
10132723266104
1151318907280
12218809057b4
13c6921461b0
1465d10372d2
1536bbe922a4
hex1ee6ec5238

132723266104 has 128 divisors (see below), whose sum is σ = 298387514880. Its totient is φ = 54544089600.

The previous prime is 132723266059. The next prime is 132723266107. The reversal of 132723266104 is 401662327231.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132723266107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44077959 + ... + 44080969.

It is an arithmetic number, because the mean of its divisors is an integer number (2331152460).

Almost surely, 2132723266104 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 132723266104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149193757440).

132723266104 is an abundant number, since it is smaller than the sum of its proper divisors (165664248776).

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

132723266104 is a wasteful number, since it uses less digits than its factorization.

132723266104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3821 (or 3817 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The spelling of 132723266104 in words is "one hundred thirty-two billion, seven hundred twenty-three million, two hundred sixty-six thousand, one hundred four".

Divisors: 1 2 4 8 11 13 22 26 44 52 53 88 104 106 143 212 286 424 572 583 689 727 1144 1166 1378 1454 2332 2756 2908 3011 4664 5512 5816 6022 7579 7997 9451 12044 15158 15994 18902 24088 30316 31988 33121 37804 38531 39143 60632 63976 66242 75608 77062 78286 103961 132484 154124 156572 159583 207922 264968 308248 313144 319166 415844 423841 430573 500903 638332 831688 847682 861146 1001806 1276664 1695364 1722292 1755413 2003612 2074579 2188997 3390728 3444584 3510826 4007224 4149158 4377994 5509933 7021652 8298316 8755988 11019866 14043304 16596632 17511976 22039732 22820369 24078967 28456961 44079464 45640738 48157934 56913922 91281476 96315868 113827844 116016841 182562952 192631736 227655688 232033682 313026571 464067364 626053142 928134728 1252106284 1276185251 1508218933 2504212568 2552370502 3016437866 5104741004 6032875732 10209482008 12065751464 16590408263 33180816526 66361633052 132723266104