Search a number
-
+
1082484339552 = 25357116832647
BaseRepresentation
bin11111100000010010001…
…10000011001101100000
310211111002012021000200000
433300021012003031200
5120213411442331202
62145141512100000
7141130654033050
oct17601106031540
93744065230600
101082484339552
1138809620a060
12155961994600
137b102008955
143a56d117560
151d257dba91c
hexfc09183360

1082484339552 has 576 divisors, whose sum is σ = 3987376533504. Its totient is φ = 280647037440.

The previous prime is 1082484339533. The next prime is 1082484339557. The reversal of 1082484339552 is 2559334842801.

1082484339552 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 4 + 84 + 3 + 3 + 9 + 552 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1082484339557) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 408946293 + ... + 408948939.

It is an arithmetic number, because the mean of its divisors is an integer number (6922528704).

Almost surely, 21082484339552 is an apocalyptic number.

1082484339552 is a gapful number since it is divisible by the number (12) 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 1082484339552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1993688266752).

1082484339552 is an abundant number, since it is smaller than the sum of its proper divisors (2904892193952).

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

1082484339552 is a wasteful number, since it uses less digits than its factorization.

1082484339552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3373 (or 3353 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 1082484339552 in words is "one trillion, eighty-two billion, four hundred eighty-four million, three hundred thirty-nine thousand, five hundred fifty-two".