Search a number
-
+
1552278282240 = 2133571924999
BaseRepresentation
bin10110100101101010111…
…111101110000000000000
312111101200221110001001010
4112211222333232000000
5200413031220012430
63145035022440520
7220101621460410
oct26455277560000
95441627401033
101552278282240
11549354693624
12210a12a33140
13b34c119621a
14551b87b4640
152a5a1c70cb0
hex1696afee000

1552278282240 has 672 divisors, whose sum is σ = 5992246080000. Its totient is φ = 336065200128.

The previous prime is 1552278282199. The next prime is 1552278282263. The reversal of 1552278282240 is 422828722551.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1552278282240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 310515261 + ... + 310520259.

Almost surely, 21552278282240 is an apocalyptic number.

1552278282240 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 1552278282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2996123040000).

1552278282240 is an abundant number, since it is smaller than the sum of its proper divisors (4439967797760).

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

1552278282240 is an equidigital number, since it uses as much as digits as its factorization.

1552278282240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5078 (or 5035 counting only the distinct ones).

The product of its (nonzero) digits is 1433600, while the sum is 48.

The spelling of 1552278282240 in words is "one trillion, five hundred fifty-two billion, two hundred seventy-eight million, two hundred eighty-two thousand, two hundred forty".