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50974350625 = 541128212
BaseRepresentation
bin101111011110010011…
…101101110100100001
311212120111020022102001
4233132103231310201
51313343413210000
635230045124001
73453122555062
oct573623556441
9155514208361
1050974350625
111a688768100
129a67259601
134a64899263
142677cc2569
1514d51ab46a
hexbde4edd21

50974350625 has 45 divisors (see below), whose sum is σ = 70100044399. Its totient is φ = 37027100000.

The previous prime is 50974350617. The next prime is 50974350629. The reversal of 50974350625 is 52605347905.

The square root of 50974350625 is 225775.

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

It can be written as a sum of positive squares in 7 ways, for example, as 47451215889 + 3523134736 = 217833^2 + 59356^2 .

It is not a de Polignac number, because 50974350625 - 23 = 50974350617 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (50974350629) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 62087715 + ... + 62088535.

Almost surely, 250974350625 is an apocalyptic number.

50974350625 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

50974350625 is the 225775-th square number.

50974350625 is the 112888-th centered octagonal number.

It is an amenable number.

50974350625 is a deficient number, since it is larger than the sum of its proper divisors (19125693774).

50974350625 is an frugal number, since it uses more digits than its factorization.

50974350625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 46.

The spelling of 50974350625 in words is "fifty billion, nine hundred seventy-four million, three hundred fifty thousand, six hundred twenty-five".

Divisors: 1 5 11 25 55 121 125 275 605 625 821 1375 3025 4105 6875 9031 15125 20525 45155 75625 99341 102625 225775 496705 513125 674041 1128875 2483525 3370205 5644375 7414451 12417625 16851025 37072255 62088125 81558961 84255125 185361275 407794805 421275625 926806375 2038974025 4634031875 10194870125 50974350625