Search a number
-
+
13232262454020 = 2232573512569189
BaseRepresentation
bin1100000010001110000001…
…0011011001101100000100
31201211222210010021200121100
43000203200103121230010
53213244133142012040
644050452323020100
72533666541031201
oct300434023315404
951758703250540
1013232262454020
114241853211135
121598601b0a630
1374ca48cc9c6c
1433a632c08ca8
1517e30518bb30
hexc08e04d9b04

13232262454020 has 36 divisors (see below), whose sum is σ = 40137862777740. Its totient is φ = 3528603321024.

The previous prime is 13232262453989. The next prime is 13232262454069. The reversal of 13232262454020 is 2045426223231.

13232262454020 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 2 + 2 + 6 + 245 + 402 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4696001684676 + 8536260769344 = 2167026^2 + 2921688^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×132322624540202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36756284415 + ... + 36756284774.

It is an arithmetic number, because the mean of its divisors is an integer number (1114940632715).

Almost surely, 213232262454020 is an apocalyptic number.

13232262454020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13232262454020 is an abundant number, since it is smaller than the sum of its proper divisors (26905600323720).

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

13232262454020 is a wasteful number, since it uses less digits than its factorization.

13232262454020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73512569204 (or 73512569199 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 13232262454020 its reverse (2045426223231), we get a palindrome (15277688677251).

The spelling of 13232262454020 in words is "thirteen trillion, two hundred thirty-two billion, two hundred sixty-two million, four hundred fifty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 73512569189 147025138378 220537707567 294050276756 367562845945 441075415134 661613122701 735125691890 882150830268 1102688537835 1323226245402 1470251383780 2205377075670 2646452490804 3308065613505 4410754151340 6616131227010 13232262454020