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243328850232 = 233132947595651
BaseRepresentation
bin1110001010011110000…
…1111001100100111000
3212021002000011100001020
43202213201321210320
512441314141201412
6303441141422440
723402626046346
oct3424741714470
9767060140036
10243328850232
1194216879736
123b1aa40aa20
1319c3ac455b0
14bac4818996
1564e230c18c
hex38a7879938

243328850232 has 128 divisors (see below), whose sum is σ = 677968704000. Its totient is φ = 72260697600.

The previous prime is 243328850227. The next prime is 243328850249. The reversal of 243328850232 is 232058823342.

243328850232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 43056607 + ... + 43062257.

It is an arithmetic number, because the mean of its divisors is an integer number (5296630500).

Almost surely, 2243328850232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243328850232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338984352000).

243328850232 is an abundant number, since it is smaller than the sum of its proper divisors (434639853768).

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

243328850232 is a wasteful number, since it uses less digits than its factorization.

243328850232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10461 (or 10457 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 243328850232 in words is "two hundred forty-three billion, three hundred twenty-eight million, eight hundred fifty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 104 116 156 174 232 312 348 377 696 754 1131 1508 2262 3016 4524 4759 5651 9048 9518 11302 14277 16953 19036 22604 28554 33906 38072 45208 57108 61867 67812 73463 114216 123734 135624 138011 146926 163879 185601 220389 247468 276022 293852 327758 371202 414033 440778 491637 494936 552044 587704 655516 742404 828066 881556 983274 1104088 1311032 1484808 1656132 1763112 1794143 1966548 2130427 3312264 3588286 3933096 4260854 5382429 6391281 7176572 8521708 10764858 12782562 14353144 17043416 21529716 25565124 26893109 43059432 51130248 53786218 80679327 107572436 161358654 215144872 322717308 349610417 645434616 699220834 779900161 1048831251 1398441668 1559800322 2097662502 2339700483 2796883336 3119600644 4195325004 4679400966 6239201288 8390650008 9358801932 10138702093 18717603864 20277404186 30416106279 40554808372 60832212558 81109616744 121664425116 243328850232