Search a number
-
+
12028597332948 = 22337109511328549
BaseRepresentation
bin1010111100001010000001…
…0001010110101111010100
31120120220220122000010201000
42233002200101112233110
53034034031404123243
641325510014103300
72351015566230030
oct257024021265724
946526818003630
1012028597332948
113918332678369
121423280aaab30
136933a42b1281
142d8289a1d1c0
1515cd588295d3
hexaf0a0456bd4

12028597332948 has 192 divisors, whose sum is σ = 35975558080000. Its totient is φ = 3404427107328.

The previous prime is 12028597332937. The next prime is 12028597332967. The reversal of 12028597332948 is 84923379582021.

12028597332948 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 8 + 597 + 3 + 32 + 9 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 421317378 + ... + 421345926.

Almost surely, 212028597332948 is an apocalyptic number.

12028597332948 is a gapful number since it is divisible by the number (18) 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 12028597332948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17987779040000).

12028597332948 is an abundant number, since it is smaller than the sum of its proper divisors (23946960747052).

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

12028597332948 is a wasteful number, since it uses less digits than its factorization.

12028597332948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33791 (or 33783 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 12028597332948 in words is "twelve trillion, twenty-eight billion, five hundred ninety-seven million, three hundred thirty-two thousand, nine hundred forty-eight".