Search a number
-
+
232141864576 = 2737471042903
BaseRepresentation
bin1101100000110010111…
…0111011111010000000
3211012012100212120201011
43120030232323322000
512300411304131301
6254351113450304
722525456201666
oct3301456737200
9735170776634
10232141864576
118a4a6037846
1238ba7a10994
1318b7736c55b
14b342b92c36
15608a134a51
hex360cbbbe80

232141864576 has 64 divisors (see below), whose sum is σ = 485075508480. Its totient is φ = 110530925568.

The previous prime is 232141864571. The next prime is 232141864609. The reversal of 232141864576 is 675468141232.

232141864576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (232141864571) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 298860 + ... + 744043.

It is an arithmetic number, because the mean of its divisors is an integer number (7579304820).

Almost surely, 2232141864576 is an apocalyptic number.

It is an amenable number.

232141864576 is an abundant number, since it is smaller than the sum of its proper divisors (252933643904).

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

232141864576 is a wasteful number, since it uses less digits than its factorization.

232141864576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043001 (or 1042989 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 49.

The spelling of 232141864576 in words is "two hundred thirty-two billion, one hundred forty-one million, eight hundred sixty-four thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 32 37 47 64 74 94 128 148 188 296 376 592 752 1184 1504 1739 2368 3008 3478 4736 6016 6956 13912 27824 55648 111296 222592 1042903 2085806 4171612 8343224 16686448 33372896 38587411 49016441 66745792 77174822 98032882 133491584 154349644 196065764 308699288 392131528 617398576 784263056 1234797152 1568526112 1813608317 2469594304 3137052224 3627216634 4939188608 6274104448 7254433268 14508866536 29017733072 58035466144 116070932288 232141864576