Search a number
-
+
639180292968 = 233573143167211
BaseRepresentation
bin10010100110100100001…
…11010100001101101000
32021002211120111011100000
421103102013110031220
540433020123333333
61205345123543000
764115324563260
oct11232207241550
92232746434300
10639180292968
11227090680608
12a3a6422aa60
1348374c49c09
1422d17a367a0
151195e8d8713
hex94d21d4368

639180292968 has 768 divisors, whose sum is σ = 2190435287040. Its totient is φ = 170774956800.

The previous prime is 639180292943. The next prime is 639180292973. The reversal of 639180292968 is 869292081936.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 3029290383 + ... + 3029290593.

It is an arithmetic number, because the mean of its divisors is an integer number (2852129280).

Almost surely, 2639180292968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 639180292968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095217643520).

639180292968 is an abundant number, since it is smaller than the sum of its proper divisors (1551254994072).

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

639180292968 is a wasteful number, since it uses less digits than its factorization.

639180292968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 639180292968 in words is "six hundred thirty-nine billion, one hundred eighty million, two hundred ninety-two thousand, nine hundred sixty-eight".