Search a number
-
+
69873949080 = 233351322943307
BaseRepresentation
bin100000100010011001…
…1111101100110011000
320200100122011101112000
41001010303331212120
52121100212332310
652033305121000
75022353524155
oct1010463754630
9220318141460
1069873949080
11276a7028161
1211660789160
1367872b2500
14354bda322c
151c3e5124c0
hex1044cfd998

69873949080 has 768 divisors, whose sum is σ = 267841728000. Its totient is φ = 16167610368.

The previous prime is 69873949021. The next prime is 69873949081. The reversal of 69873949080 is 8094937896.

69873949080 is a `hidden beast` number, since 6 + 9 + 87 + 394 + 90 + 80 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 69873948999 and 69873949017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69873949081) 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 191 ways as a sum of consecutive naturals, for example, 227602287 + ... + 227602593.

It is an arithmetic number, because the mean of its divisors is an integer number (348752250).

Almost surely, 269873949080 is an apocalyptic number.

69873949080 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 69873949080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133920864000).

69873949080 is an abundant number, since it is smaller than the sum of its proper divisors (197967778920).

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

69873949080 is a wasteful number, since it uses less digits than its factorization.

69873949080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 69873949080 in words is "sixty-nine billion, eight hundred seventy-three million, nine hundred forty-nine thousand, eighty".