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32190048306 = 23213537333541
BaseRepresentation
bin11101111110101011…
…010010100000110010
310002002101020212212100
4131332223102200302
51011411123021211
622442104241230
72216461616223
oct357653224062
9102071225770
1032190048306
1112719496809
1262a4470216
133060020b80
1417b525524a
15c8602c156
hex77ead2832

32190048306 has 96 divisors (see below), whose sum is σ = 76653328752. Its totient is φ = 9701752320.

The previous prime is 32190048299. The next prime is 32190048353. The reversal of 32190048306 is 60384009123.

It can be written as a sum of positive squares in 8 ways, for example, as 22272876081 + 9917172225 = 149241^2 + 99585^2 .

It is a super-2 number, since 2×321900483062 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9088896 + ... + 9092436.

Almost surely, 232190048306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32190048306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38326664376).

32190048306 is an abundant number, since it is smaller than the sum of its proper divisors (44463280446).

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

32190048306 is a wasteful number, since it uses less digits than its factorization.

32190048306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4348 (or 4345 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 32190048306 in words is "thirty-two billion, one hundred ninety million, forty-eight thousand, three hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 53 78 106 117 159 234 318 477 689 733 954 1378 1466 2067 2199 3541 4134 4398 6201 6597 7082 9529 10623 12402 13194 19058 21246 28587 31869 38849 46033 57174 63738 77698 85761 92066 116547 138099 171522 187673 233094 276198 349641 375346 414297 505037 563019 699282 828594 1010074 1126038 1515111 1689057 2439749 2595553 3030222 3378114 4545333 4879498 5191106 7319247 7786659 9090666 14638494 15573318 21957741 23359977 33742189 43915482 46719954 67484378 101226567 137564309 202453134 275128618 303679701 412692927 607359402 825385854 1238078781 1788336017 2476157562 3576672034 5365008051 10730016102 16095024153 32190048306