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48021901321 = 31270692
BaseRepresentation
bin101100101110010101…
…000001000000001001
311120221201200100100211
4230232111001000021
51241322101320241
634021100001121
73320012266132
oct545625010011
9146851610324
1048021901321
1119403125259
1293825301a1
1346b3cc3334
142477b36c89
1513b0dab781
hexb2e541009

48021901321 has 9 divisors (see below), whose sum is σ = 49627986183. Its totient is φ = 46466233560.

The previous prime is 48021901309. The next prime is 48021901337. The reversal of 48021901321 is 12310912084.

The square root of 48021901321 is 219139.

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., 16799011321 + 31222890000 = 129611^2 + 176700^2 .

It is not a de Polignac number, because 48021901321 - 29 = 48021900809 is a prime.

It is a super-2 number, since 2×480219013212 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48021901721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6789775 + ... + 6796843.

It is an arithmetic number, because the mean of its divisors is an integer number (5514220687).

Almost surely, 248021901321 is an apocalyptic number.

48021901321 is the 219139-th square number.

48021901321 is the 109570-th centered octagonal number.

It is an amenable number.

48021901321 is a deficient number, since it is larger than the sum of its proper divisors (1606084862).

48021901321 is an frugal number, since it uses more digits than its factorization.

48021901321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14200 (or 7100 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The spelling of 48021901321 in words is "forty-eight billion, twenty-one million, nine hundred one thousand, three hundred twenty-one".

Divisors: 1 31 961 7069 219139 6793309 49970761 1549093591 48021901321