Search a number
-
+
67963429080 = 23345293123333
BaseRepresentation
bin111111010010111011…
…111010000011011000
320111102111011220210000
4333102323322003120
52103142114212310
651115540053000
74624124421051
oct772273720330
9214374156700
1067963429080
1126906647208
1211208994160
1365415374c1
14340a35b728
151b7b9274c0
hexfd2efa0d8

67963429080 has 320 divisors, whose sum is σ = 243942969600. Its totient is φ = 16933432320.

The previous prime is 67963429069. The next prime is 67963429147. The reversal of 67963429080 is 8092436976.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2901094 + ... + 2924426.

It is an arithmetic number, because the mean of its divisors is an integer number (762321780).

Almost surely, 267963429080 is an apocalyptic number.

67963429080 is a gapful number since it is divisible by the number (60) 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 67963429080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121971484800).

67963429080 is an abundant number, since it is smaller than the sum of its proper divisors (175979540520).

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

67963429080 is a wasteful number, since it uses less digits than its factorization.

67963429080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23416 (or 23403 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 67963429080 in words is "sixty-seven billion, nine hundred sixty-three million, four hundred twenty-nine thousand, eighty".