Search a number
-
+
132220455355520 = 2757231283195413
BaseRepresentation
bin11110000100000011111001…
…010001100000010010000000
3122100011011002212111112211022
4132010003321101200102000
5114312244443032334040
61145113123314205012
736564420066623540
oct3604037121402200
9570134085445738
10132220455355520
1139147420082604
12129b5262b83768
1358a1448c6688c
14249170b6a9320
1510445567116b5
hex7840f9460480

132220455355520 has 128 divisors (see below), whose sum is σ = 376951484816640. Its totient is φ = 43361739362304.

The previous prime is 132220455355501. The next prime is 132220455355561. The reversal of 132220455355520 is 25553554022231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 641494667 + ... + 641700746.

It is an arithmetic number, because the mean of its divisors is an integer number (2944933475130).

Almost surely, 2132220455355520 is an apocalyptic number.

132220455355520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132220455355520 is an abundant number, since it is smaller than the sum of its proper divisors (244731029461120).

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

132220455355520 is a wasteful number, since it uses less digits than its factorization.

132220455355520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283195462 (or 1283195450 counting only the distinct ones).

The product of its (nonzero) digits is 1800000, while the sum is 44.

The spelling of 132220455355520 in words is "one hundred thirty-two trillion, two hundred twenty billion, four hundred fifty-five million, three hundred fifty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 64 70 80 92 112 115 128 140 160 161 184 224 230 280 320 322 368 448 460 560 640 644 736 805 896 920 1120 1288 1472 1610 1840 2240 2576 2944 3220 3680 4480 5152 6440 7360 10304 12880 14720 20608 25760 51520 103040 1283195413 2566390826 5132781652 6415977065 8982367891 10265563304 12831954130 17964735782 20531126608 25663908260 29513494499 35929471564 41062253216 44911839455 51327816520 59026988998 71858943128 82124506432 89823678910 102655633040 118053977996 143717886256 147567472495 164249012864 179647357820 205311266080 206594461493 236107955992 287435772512 295134944990 359294715640 410622532160 413188922986 472215911984 574871545024 590269889980 718589431280 821245064320 826377845972 944431823968 1032972307465 1149743090048 1180539779960 1437178862560 1652755691944 1888863647936 2065944614930 2361079559920 2874357725120 3305511383888 3777727295872 4131889229860 4722159119840 5748715450240 6611022767776 8263778459720 9444318239680 13222045535552 16527556919440 18888636479360 26444091071104 33055113838880 66110227677760 132220455355520