Search a number
-
+
18067940352 = 210357112341
BaseRepresentation
bin10000110100111011…
…101110010000000000
31201122012000110200000
4100310323232100000
5244000343042402
612144510400000
71206511646640
oct206473562000
951565013600
1018067940352
117731977010
123602b00000
13191c32a787
14c35874520
1570b328c1c
hex434eee400

18067940352 has 1056 divisors, whose sum is σ = 72102610944. Its totient is φ = 4379443200.

The previous prime is 18067940347. The next prime is 18067940353. The reversal of 18067940352 is 25304976081.

18067940352 is a `hidden beast` number, since 180 + 67 + 9 + 403 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a junction number, because it is equal to n+sod(n) for n = 18067940298 and 18067940307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18067940353) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 440681452 + ... + 440681492.

It is a 1-persistent number, because it is pandigital, but 2⋅18067940352 = 36135880704 is not.

Almost surely, 218067940352 is an apocalyptic number.

18067940352 is a gapful number since it is divisible by the number (12) 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 18067940352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36051305472).

18067940352 is an abundant number, since it is smaller than the sum of its proper divisors (54034670592).

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

18067940352 is a wasteful number, since it uses less digits than its factorization.

18067940352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 18067940352 in words is "eighteen billion, sixty-seven million, nine hundred forty thousand, three hundred fifty-two".