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53888515321 = 232100932
BaseRepresentation
bin110010001100000000…
…010111110011111001
312011002120202012211211
4302030000113303321
51340330424442241
640431145523121
73615256552054
oct621400276371
9164076665754
1053888515321
1120943731183
12a53b1a34a1
13510a559374
142872d43a9b
151605e47781
hexc8c017cf9

53888515321 has 9 divisors (see below), whose sum is σ = 56338944879. Its totient is φ = 51540429336.

The previous prime is 53888515313. The next prime is 53888515361. The reversal of 53888515321 is 12351588835.

It is a happy number.

The square root of 53888515321 is 232139.

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., 27461461225 + 26427054096 = 165715^2 + 162564^2 .

It is not a de Polignac number, because 53888515321 - 23 = 53888515313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (53888515301) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 5334151 + ... + 5344243.

Almost surely, 253888515321 is an apocalyptic number.

53888515321 is the 232139-th square number.

53888515321 is the 116070-th centered octagonal number.

It is an amenable number.

53888515321 is a deficient number, since it is larger than the sum of its proper divisors (2450429558).

53888515321 is an frugal number, since it uses more digits than its factorization.

53888515321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20232 (or 10116 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 49.

Multiplying 53888515321 by its sum of digits (49), we get a square (2640537250729 = 16249732).

The spelling of 53888515321 in words is "fifty-three billion, eight hundred eighty-eight million, five hundred fifteen thousand, three hundred twenty-one".

Divisors: 1 23 529 10093 232139 5339197 101868649 2342978927 53888515321