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232545545232 = 2437111337130807
BaseRepresentation
bin1101100010010011001…
…0110110110000010000
3211020020111110200110120
43120210302312300100
512302223124421412
6254455134030240
722541460343350
oct3304462666020
9736214420416
10232545545232
118a692997020
123909b048380
1318c0cb9c250
14b380634b60
1560b07c3b8c
hex3624cb6c10

232545545232 has 320 divisors, whose sum is σ = 828397645824. Its totient is φ = 54247864320.

The previous prime is 232545545203. The next prime is 232545545249.

232545545232 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1712373 + ... + 1843179.

Almost surely, 2232545545232 is an apocalyptic number.

232545545232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232545545232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414198822912).

232545545232 is an abundant number, since it is smaller than the sum of its proper divisors (595852100592).

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

232545545232 is a wasteful number, since it uses less digits than its factorization.

232545545232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130886 (or 130880 counting only the distinct ones).

The product of its digits is 1440000, while the sum is 42.

It can be divided in two parts, 232545 and 545232, that added together give a palindrome (777777).

The spelling of 232545545232 in words is "two hundred thirty-two billion, five hundred forty-five million, five hundred forty-five thousand, two hundred thirty-two".