Search a number
-
+
12090061620 = 2235571327337
BaseRepresentation
bin10110100001001111…
…11011001100110100
31011012120120202200000
423100213323030310
5144230023432440
65315403551300
7605413554030
oct132047731464
934176522600
1012090061620
11514458526a
122414b2b530
1311a8a08820
148299831c0
154ab610730
hex2d09fb334

12090061620 has 288 divisors, whose sum is σ = 46809654528. Its totient is φ = 2550776832.

The previous prime is 12090061609. The next prime is 12090061639. The reversal of 12090061620 is 2616009021.

12090061620 is a `hidden beast` number, since 1 + 20 + 9 + 0 + 0 + 616 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 428592 + ... + 455928.

Almost surely, 212090061620 is an apocalyptic number.

12090061620 is a gapful number since it is divisible by the number (10) 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 12090061620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23404827264).

12090061620 is an abundant number, since it is smaller than the sum of its proper divisors (34719592908).

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

12090061620 is a wasteful number, since it uses less digits than its factorization.

12090061620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27381 (or 27367 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 12090061620 in words is "twelve billion, ninety million, sixty-one thousand, six hundred twenty".