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132466456650 = 23521129295461
BaseRepresentation
bin111101101011110011…
…1011011100001001010
3110122220211000020002010
41323113213123201022
54132242403103100
6140504303520350
712366433206033
oct1732747334112
9418824006063
10132466456650
11511a6952560
122180a8b90b6
13c650b8b238
1465a8ca7a8a
1536a4665750
hex1ed79db84a

132466456650 has 144 divisors (see below), whose sum is σ = 371170002528. Its totient is φ = 31005408000.

The previous prime is 132466456613. The next prime is 132466456651. The reversal of 132466456650 is 56654664231.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 132466456650.

It is not an unprimeable number, because it can be changed into a prime (132466456651) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1339920 + ... + 1435380.

It is an arithmetic number, because the mean of its divisors is an integer number (2577569462).

Almost surely, 2132466456650 is an apocalyptic number.

132466456650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132466456650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185585001264).

132466456650 is an abundant number, since it is smaller than the sum of its proper divisors (238703545878).

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

132466456650 is a wasteful number, since it uses less digits than its factorization.

132466456650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95545 (or 95511 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 132466456650 in words is "one hundred thirty-two billion, four hundred sixty-six million, four hundred fifty-six thousand, six hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 29 30 33 50 55 58 66 75 87 110 145 150 165 174 275 290 319 330 435 550 638 725 825 841 870 957 1450 1595 1650 1682 1914 2175 2523 3190 4205 4350 4785 5046 7975 8410 9251 9570 12615 15950 18502 21025 23925 25230 27753 42050 46255 47850 55506 63075 92510 95461 126150 138765 190922 231275 277530 286383 462550 477305 572766 693825 954610 1050071 1387650 1431915 2100142 2386525 2768369 2863830 3150213 4773050 5250355 5536738 6300426 7159575 8305107 10500710 13841845 14319150 15751065 16610214 26251775 27683690 30452059 31502130 41525535 52503550 60904118 69209225 78755325 80282701 83051070 91356177 138418450 152260295 157510650 160565402 182712354 207627675 240848103 304520590 401413505 415255350 456780885 481696206 761301475 802827010 883109711 913561770 1204240515 1522602950 1766219422 2007067525 2283904425 2408481030 2649329133 4014135050 4415548555 4567808850 5298658266 6021202575 8831097110 12042405150 13246645665 22077742775 26493291330 44155485550 66233228325 132466456650