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500377431472 = 241946715972207
BaseRepresentation
bin1110100100000001101…
…00011010110110110000
31202211120011102012212221
413102000310122312300
531144233110301342
61021511544530424
751102550663552
oct7220064326660
91684504365787
10500377431472
11183233019336
1280b87480a14
13382543b9ac9
141a30b3d14d2
15d038d39a67
hex7480d1adb0

500377431472 has 80 divisors (see below), whose sum is σ = 1023795901440. Its totient is φ = 236258152704.

The previous prime is 500377431439. The next prime is 500377431511. The reversal of 500377431472 is 274134773005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226721793 + ... + 226723999.

It is an arithmetic number, because the mean of its divisors is an integer number (12797448768).

Almost surely, 2500377431472 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 500377431472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511897950720).

500377431472 is an abundant number, since it is smaller than the sum of its proper divisors (523418469968).

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

500377431472 is a wasteful number, since it uses less digits than its factorization.

500377431472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4298 (or 4292 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 43.

The spelling of 500377431472 in words is "five hundred billion, three hundred seventy-seven million, four hundred thirty-one thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 19 38 76 152 304 467 934 1597 1868 2207 3194 3736 4414 6388 7472 8828 8873 12776 17656 17746 25552 30343 35312 35492 41933 60686 70984 83866 121372 141968 167732 242744 335464 485488 670928 745799 1030669 1491598 2061338 2983196 3524579 4122676 5966392 7049158 8245352 11932784 14098316 14170181 16490704 19582711 28196632 28340362 39165422 56393264 56680724 66967001 78330844 113361448 133934002 156661688 226722896 267868004 313323376 535736008 1071472016 1645978393 3291956786 6583913572 13167827144 26335654288 31273589467 62547178934 125094357868 250188715736 500377431472