Search a number
-
+
10018980216 = 23327259127379
BaseRepresentation
bin10010101010010110…
…11000000101111000
3221212020110221002100
421111023120011320
5131004324331331
64334101303400
7503164632600
oct112513300570
927766427070
1010018980216
1142814a9143
121b37404b60
13c3890467b
146b08a3c00
153d98abae6
hex2552d8178

10018980216 has 288 divisors, whose sum is σ = 32438016000. Its totient is φ = 2784523392.

The previous prime is 10018980161. The next prime is 10018980217. The reversal of 10018980216 is 61208981001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10018980217) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26435115 + ... + 26435493.

It is an arithmetic number, because the mean of its divisors is an integer number (112632000).

Almost surely, 210018980216 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 10018980216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16219008000).

10018980216 is an abundant number, since it is smaller than the sum of its proper divisors (22419035784).

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

10018980216 is a wasteful number, since it uses less digits than its factorization.

10018980216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 10018980216 in words is "ten billion, eighteen million, nine hundred eighty thousand, two hundred sixteen".