Search a number
-
+
503895540736 = 2107231692
BaseRepresentation
bin1110101010100101000…
…00111100010000000000
31210011122100100200112001
413111102200330100000
531223434224300421
61023253022113344
751256000266100
oct7252240742000
91704570320461
10503895540736
11184778994955
12817a971b854
1338695227073
141a562745200
15d192b22691
hex755283c400

503895540736 has 99 divisors (see below), whose sum is σ = 1172125847349. Its totient is φ = 215887085568.

The previous prime is 503895540719. The next prime is 503895540739. The reversal of 503895540736 is 637045598305.

The square root of 503895540736 is 709856.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 416468878336 + 87426662400 = 645344^2 + 295680^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (503895540739) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 159006160 + ... + 159009328.

Almost surely, 2503895540736 is an apocalyptic number.

503895540736 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

503895540736 is the 709856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 503895540736

503895540736 is an abundant number, since it is smaller than the sum of its proper divisors (668230306613).

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

503895540736 is an frugal number, since it uses more digits than its factorization.

503895540736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6372 (or 3178 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 55.

The spelling of 503895540736 in words is "five hundred three billion, eight hundred ninety-five million, five hundred forty thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1568 1792 3136 3169 3584 6272 6338 7168 12544 12676 22183 25088 25352 44366 50176 50704 88732 101408 155281 177464 202816 310562 354928 405632 621124 709856 811264 1242248 1419712 1622528 2484496 2839424 3245056 4968992 5678848 9937984 10042561 11357696 19875968 20085122 22715392 39751936 40170244 70297927 79503872 80340488 140595854 159007744 160680976 281191708 321361952 492085489 562383416 642723904 984170978 1124766832 1285447808 1968341956 2249533664 2570895616 3936683912 4499067328 5141791232 7873367824 8998134656 10283582464 15746735648 17996269312 31493471296 35992538624 62986942592 71985077248 125973885184 251947770368 503895540736