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48214937241 = 3253213812
BaseRepresentation
bin101100111001110101…
…011000111010011001
311121110011220120212100
4230321311120322121
51242221010442431
634052153234013
73324545130102
oct547165307231
9147404816770
1048214937241
11194a2090a79
129417102909
134714cac883
1424956253a9
1513c2cdc4e6
hexb39d58e99

48214937241 has 27 divisors (see below), whose sum is σ = 71034061917. Its totient is φ = 31513978080.

The previous prime is 48214937201. The next prime is 48214937269. The reversal of 48214937241 is 14273941284.

The square root of 48214937241 is 219579.

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

48214937241 is a `hidden beast` number, since 482 + 14 + 93 + 72 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1600400025 + 46614537216 = 40005^2 + 215904^2 .

It is not a de Polignac number, because 48214937241 - 29 = 48214936729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (48214937201) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 34912371 + ... + 34913751.

Almost surely, 248214937241 is an apocalyptic number.

48214937241 is the 219579-th square number.

48214937241 is the 109790-th centered octagonal number.

It is an amenable number.

48214937241 is a deficient number, since it is larger than the sum of its proper divisors (22819124676).

48214937241 is an frugal number, since it uses more digits than its factorization.

48214937241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2874 (or 1437 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 48214937241 in words is "forty-eight billion, two hundred fourteen million, nine hundred thirty-seven thousand, two hundred forty-one".

Divisors: 1 3 9 53 159 477 1381 2809 4143 8427 12429 25281 73193 219579 658737 1907161 3879229 5721483 11637687 17164449 34913061 101079533 303238599 909715797 5357215249 16071645747 48214937241