Search a number
-
+
132618227014672 = 247157263111725673
BaseRepresentation
bin11110001001110110010110…
…010011111101110000010000
3122101120011211021001110211121
4132021312112103331300100
5114340304112103432142
61150015550013252024
736635231203140160
oct3611662623756020
9571504737043747
10132618227014672
113929008a8884a3
1212a5a373a94014
1358ccacaa2c829
1424a6a839345a0
15104ea87690c67
hex789d964fdc10

132618227014672 has 160 divisors (see below), whose sum is σ = 296925868242432. Its totient is φ = 56207080230912.

The previous prime is 132618227014657. The next prime is 132618227014673. The reversal of 132618227014672 is 276410722816231.

It is not an unprimeable number, because it can be changed into a prime (132618227014673) 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, 5165656428 + ... + 5165682100.

Almost surely, 2132618227014672 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 132618227014672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148462934121216).

132618227014672 is an abundant number, since it is smaller than the sum of its proper divisors (164307641227760).

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

132618227014672 is a wasteful number, since it uses less digits than its factorization.

132618227014672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27225 (or 27219 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 52.

The spelling of 132618227014672 in words is "one hundred thirty-two trillion, six hundred eighteen billion, two hundred twenty-seven million, fourteen thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 157 263 314 526 628 1052 1099 1117 1256 1841 2104 2198 2234 2512 3682 4208 4396 4468 7364 7819 8792 8936 14728 15638 17584 17872 25673 29456 31276 41291 51346 62552 82582 102692 125104 165164 175369 179711 205384 289037 293771 330328 350738 359422 410768 578074 587542 660656 701476 718844 1156148 1175084 1227583 1402952 1437688 2056397 2312296 2350168 2455166 2805904 2875376 4030661 4112794 4624592 4700336 4910332 6751999 8061322 8225588 9820664 13503998 16122644 16451176 19641328 27007996 28214627 28676741 32245288 32902352 46122047 47263993 54015992 56429254 57353482 64490576 92244094 94527986 108031984 112858508 114706964 184488188 189055972 200737187 225717016 229413928 322854329 368976376 378111944 401474374 451434032 458827856 645708658 737952752 756223888 802948748 1060063843 1291417316 1605897496 2120127686 2582834632 3211794992 4240255372 4502248337 5165669264 7420446901 7541982883 8480510744 9004496674 14840893802 15083965766 16961021488 18008993348 29681787604 30167931532 31515738359 36017986696 52793880181 59363575208 60335863064 63031476718 72035973392 105587760362 118727150416 120671726128 126062953436 211175520724 252125906872 422351041448 504251813744 844702082896 1184091312631 2368182625262 4736365250524 8288639188417 9472730501048 16577278376834 18945461002096 33154556753668 66309113507336 132618227014672