Search a number
-
+
86793039324 = 2234577464263
BaseRepresentation
bin101000011010101000…
…1001010110111011100
322022000202102020010000
41100311101022313130
52410223004224244
6103512220014300
76161545442655
oct1206521126734
9268022366100
1086793039324
1133899454072
12149a2991390
1382525b7404
1442b502052c
1523cea56169
hex143544addc

86793039324 has 60 divisors (see below), whose sum is σ = 227287869424. Its totient is φ = 28880810496.

The previous prime is 86793039287. The next prime is 86793039329. The reversal of 86793039324 is 42393039768.

86793039324 is a `hidden beast` number, since 8 + 6 + 7 + 9 + 303 + 9 + 324 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86793039329) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45184 + ... + 419079.

Almost surely, 286793039324 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 86793039324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113643934712).

86793039324 is an abundant number, since it is smaller than the sum of its proper divisors (140494830100).

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

86793039324 is a wasteful number, since it uses less digits than its factorization.

86793039324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464856 (or 464845 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 86793039324 in words is "eighty-six billion, seven hundred ninety-three million, thirty-nine thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 577 1154 1731 2308 3462 5193 6924 10386 15579 20772 31158 46737 62316 93474 186948 464263 928526 1392789 1857052 2785578 4178367 5571156 8356734 12535101 16713468 25070202 37605303 50140404 75210606 150421212 267879751 535759502 803639253 1071519004 1607278506 2410917759 3214557012 4821835518 7232753277 9643671036 14465506554 21698259831 28931013108 43396519662 86793039324