Search a number
-
+
32700470796 = 22347373471123
BaseRepresentation
bin11110011101000110…
…011001011000001100
310010101221201000220000
4132131012121120030
51013432310031141
623004500324300
72235230262360
oct363506313014
9103357630800
1032700470796
1112960621784
1264073a3690
1331119b4c06
141822d612a0
15cb5c535b6
hex79d19960c

32700470796 has 240 divisors, whose sum is σ = 100716946176. Its totient is φ = 9056209536.

The previous prime is 32700470791. The next prime is 32700470813. The reversal of 32700470796 is 69707400723.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (32700470791) 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 79 ways as a sum of consecutive naturals, for example, 29118291 + ... + 29119413.

Almost surely, 232700470796 is an apocalyptic number.

32700470796 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32700470796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50358473088).

32700470796 is an abundant number, since it is smaller than the sum of its proper divisors (68016475380).

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

32700470796 is a wasteful number, since it uses less digits than its factorization.

32700470796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The spelling of 32700470796 in words is "thirty-two billion, seven hundred million, four hundred seventy thousand, seven hundred ninety-six".