Search a number
-
+
20953394403600 = 24352131133291313
BaseRepresentation
bin1001100001110100101111…
…01000010101100100010000
32202012010101002020022212210
410300322113220111210100
510221300022431403400
6112321505000552120
74261555434523401
oct460722750254420
982163332208783
1020953394403600
11674931498360a
122424aa9482640
13b8cb86b262a9
14526214ac59a8
152650a4c56950
hex130e97a15910

20953394403600 has 120 divisors (see below), whose sum is σ = 67633079054112. Its totient is φ = 5544918579200.

The previous prime is 20953394403569. The next prime is 20953394403647. The reversal of 20953394403600 is 630449335902.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 20953394403600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66488457 + ... + 66802856.

Almost surely, 220953394403600 is an apocalyptic number.

20953394403600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20953394403600 is an abundant number, since it is smaller than the sum of its proper divisors (46679684650512).

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

20953394403600 is a wasteful number, since it uses less digits than its factorization.

20953394403600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133291465 (or 133291454 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 48.

The spelling of 20953394403600 in words is "twenty trillion, nine hundred fifty-three billion, three hundred ninety-four million, four hundred three thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 131 150 200 240 262 300 393 400 524 600 655 786 1048 1200 1310 1572 1965 2096 2620 3144 3275 3930 5240 6288 6550 7860 9825 10480 13100 15720 19650 26200 31440 39300 52400 78600 157200 133291313 266582626 399873939 533165252 666456565 799747878 1066330504 1332913130 1599495756 1999369695 2132661008 2665826260 3198991512 3332282825 3998739390 5331652520 6397983024 6664565650 7997478780 9996848475 10663305040 13329131300 15994957560 17461162003 19993696950 26658262600 31989915120 34922324006 39987393900 52383486009 53316525200 69844648012 79974787800 87305810015 104766972018 139689296024 159949575600 174611620030 209533944036 261917430045 279378592048 349223240060 419067888072 436529050075 523834860090 698446480120 838135776144 873058100150 1047669720180 1309587150225 1396892960240 1746116200300 2095339440360 2619174300450 3492232400600 4190678880720 5238348600900 6984464801200 10476697201800 20953394403600