Search a number
-
+
274028396544 = 215347443
BaseRepresentation
bin1111111100110101011…
…1011000000000000000
3222012022111202212120000
43333031113120000000
513442202232142134
6325515323320000
725540451640000
oct3771527300000
9865274685500
10274028396544
11a623a982211
1245137680000
131cac121b406
14d397b20000
1571dc568e99
hex3fcd5d8000

274028396544 has 800 divisors, whose sum is σ = 977292260340. Its totient is φ = 76473040896.

The previous prime is 274028396527. The next prime is 274028396561. The reversal of 274028396544 is 445693820472.

It is a happy number.

274028396544 is a `hidden beast` number, since 2 + 7 + 4 + 0 + 2 + 8 + 3 + 96 + 544 = 666.

It is an interprime number because it is at equal distance from previous prime (274028396527) and next prime (274028396561).

It is a super-2 number, since 2×2740283965442 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 6372753387 + ... + 6372753429.

Almost surely, 2274028396544 is an apocalyptic number.

274028396544 is a gapful number since it is divisible by the number (24) 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 274028396544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488646130170).

274028396544 is an abundant number, since it is smaller than the sum of its proper divisors (703263863796).

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

274028396544 is an frugal number, since it uses more digits than its factorization.

274028396544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 274028396544 in words is "two hundred seventy-four billion, twenty-eight million, three hundred ninety-six thousand, five hundred forty-four".