Search a number
-
+
90619187328 = 27321961671013
BaseRepresentation
bin101010001100101010…
…0110001000010000000
322122220101222200110100
41110121110301002000
52441042002443303
6105344015402400
76355425245265
oct1243124610200
9278811880410
1090619187328
113548219475a
1215690223400
1387121a8407
14455923b26c
1525558d98a3
hex1519531080

90619187328 has 384 divisors, whose sum is σ = 283434091200. Its totient is φ = 27699978240.

The previous prime is 90619187287. The next prime is 90619187353. The reversal of 90619187328 is 82378191609.

90619187328 is a `hidden beast` number, since 9 + 0 + 619 + 18 + 7 + 3 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×906191873282 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89455750 + ... + 89456762.

Almost surely, 290619187328 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 90619187328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141717045600).

90619187328 is an abundant number, since it is smaller than the sum of its proper divisors (192814903872).

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

90619187328 is a wasteful number, since it uses less digits than its factorization.

90619187328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 90619187328 in words is "ninety billion, six hundred nineteen million, one hundred eighty-seven thousand, three hundred twenty-eight".