Search a number
-
+
67794634464 = 25319292574987
BaseRepresentation
bin111111001000111000…
…000000011011100000
320110222201120021002120
4333020320000123200
52102320411300324
651051110144240
74620004612344
oct771070003340
9213881507076
1067794634464
112682a338327
1211180352080
136515587a2b
1433d1b7d624
151b6bbd4179
hexfc8e006e0

67794634464 has 192 divisors, whose sum is σ = 194579884800. Its totient is φ = 20586037248.

The previous prime is 67794634463. The next prime is 67794634471. The reversal of 67794634464 is 46443649776.

It is a super-2 number, since 2×677946344642 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 67794634398 and 67794634407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67794634463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13591779 + ... + 13596765.

It is an arithmetic number, because the mean of its divisors is an integer number (1013436900).

Almost surely, 267794634464 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 67794634464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97289942400).

67794634464 is an abundant number, since it is smaller than the sum of its proper divisors (126785250336).

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

67794634464 is a wasteful number, since it uses less digits than its factorization.

67794634464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5305 (or 5297 counting only the distinct ones).

The product of its digits is 73156608, while the sum is 60.

The spelling of 67794634464 in words is "sixty-seven billion, seven hundred ninety-four million, six hundred thirty-four thousand, four hundred sixty-four".