Search a number
-
+
87766666663320 = 2332523431823135221
BaseRepresentation
bin10011111101001011000100…
…111111010101010110011000
3102111202102002220101210022200
4103331023010333111112120
543000432113131211240
6510355241113250200
724325634550365151
oct2375130477252630
9374672086353280
1087766666663320
1125a686a8293a47
129a15927103960
1339c84905ba148
141795d02130928
15a2302bd65930
hex4fd2c4fd5598

87766666663320 has 384 divisors, whose sum is σ = 304734741442560. Its totient is φ = 21854078991360.

The previous prime is 87766666663279. The next prime is 87766666663373. The reversal of 87766666663320 is 2336666666778.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 648993310 + ... + 649128530.

It is an arithmetic number, because the mean of its divisors is an integer number (793580055840).

Almost surely, 287766666663320 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 87766666663320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152367370721280).

87766666663320 is an abundant number, since it is smaller than the sum of its proper divisors (216968074779240).

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

87766666663320 is a wasteful number, since it uses less digits than its factorization.

87766666663320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137127 (or 137120 counting only the distinct ones).

The product of its (nonzero) digits is 1975228416, while the sum is 72.

The spelling of 87766666663320 in words is "eighty-seven trillion, seven hundred sixty-six billion, six hundred sixty-six million, six hundred sixty-three thousand, three hundred twenty".