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248896047396 = 223294325396551
BaseRepresentation
bin1110011111001101011…
…1000100100100100100
3212210102222211020211210
43213303113010210210
513034214342004041
6310201414031420
723660606332023
oct3476327044444
9783388736753
10248896047396
119661336a327
12402a2948570
131a6174560b9
14c091d648ba
15671ae52016
hex39f35c4924

248896047396 has 96 divisors (see below), whose sum is σ = 615091276800. Its totient is φ = 78198825600.

The previous prime is 248896047359. The next prime is 248896047403. The reversal of 248896047396 is 693740698842.

248896047396 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 37990321 + ... + 37996871.

It is an arithmetic number, because the mean of its divisors is an integer number (6407200800).

Almost surely, 2248896047396 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 248896047396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307545638400).

248896047396 is an abundant number, since it is smaller than the sum of its proper divisors (366195229404).

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

248896047396 is a wasteful number, since it uses less digits than its factorization.

248896047396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9169 (or 9167 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 66.

The spelling of 248896047396 in words is "two hundred forty-eight billion, eight hundred ninety-six million, forty-seven thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 12 29 43 58 86 87 116 129 172 174 258 348 516 1247 2494 2539 3741 4988 5078 6551 7482 7617 10156 13102 14964 15234 19653 26204 30468 39306 73631 78612 109177 147262 189979 218354 220893 281693 294524 327531 379958 436708 441786 563386 569937 655062 759916 845079 883572 1126772 1139874 1310124 1690158 2279748 3166133 3380316 6332266 8169097 9498399 12664532 16338194 16632989 18996798 24507291 32676388 33265978 37993596 49014582 49898967 66531956 98029164 99797934 199595868 482356681 715218527 964713362 1430437054 1447070043 1929426724 2145655581 2860874108 2894140086 4291311162 5788280172 8582622324 20741337283 41482674566 62224011849 82965349132 124448023698 248896047396