Search a number
-
+
250434399984 = 2437974878821
BaseRepresentation
bin1110100100111100001…
…1011010111011110000
3212221102012111122212120
43221033003122323300
513100342201244414
6311014210154240
724043666164006
oct3511703327360
9787365448776
10250434399984
11972327653aa
1240651b82980
131a8010860c2
14c19a3aca76
1567ab0252a9
hex3a4f0daef0

250434399984 has 80 divisors (see below), whose sum is σ = 655306629120. Its totient is φ = 82401096960.

The previous prime is 250434399907. The next prime is 250434399991. The reversal of 250434399984 is 489993434052.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28386294 + ... + 28395114.

It is an arithmetic number, because the mean of its divisors is an integer number (8191332864).

Almost surely, 2250434399984 is an apocalyptic number.

250434399984 is a gapful number since it is divisible by the number (24) 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 250434399984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327653314560).

250434399984 is an abundant number, since it is smaller than the sum of its proper divisors (404872229136).

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

250434399984 is a wasteful number, since it uses less digits than its factorization.

250434399984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16398 (or 16392 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 60.

The spelling of 250434399984 in words is "two hundred fifty billion, four hundred thirty-four million, three hundred ninety-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 158 237 316 474 632 948 1264 1896 3792 7487 8821 14974 17642 22461 26463 29948 35284 44922 52926 59896 70568 89844 105852 119792 141136 179688 211704 359376 423408 591473 696859 1182946 1393718 1774419 2090577 2365892 2787436 3548838 4181154 4731784 5574872 7097676 8362308 9463568 11149744 14195352 16724616 28390704 33449232 66042827 132085654 198128481 264171308 396256962 528342616 792513924 1056685232 1585027848 3170055696 5217383333 10434766666 15652149999 20869533332 31304299998 41739066664 62608599996 83478133328 125217199992 250434399984