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1485974224896 = 21437311271097
BaseRepresentation
bin10101100111111010111…
…101110100000000000000
312021001120002122221100120
4111213322331310000000
5143321233400144041
63054351440420240
7212233553335650
oct25477275640000
95231502587316
101485974224896
1152321a78aa17
121bbba9917680
13aa1856817b5
1451cc89a4360
15289c0d74366
hex159faf74000

1485974224896 has 480 divisors, whose sum is σ = 4715730173952. Its totient is φ = 407261675520.

The previous prime is 1485974224841. The next prime is 1485974224897. The reversal of 1485974224896 is 6984224795841.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1485974224896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1485974224897) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1354579420 + ... + 1354580516.

Almost surely, 21485974224896 is an apocalyptic number.

1485974224896 is a gapful number since it is divisible by the number (16) 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 1485974224896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357865086976).

1485974224896 is an abundant number, since it is smaller than the sum of its proper divisors (3229755949056).

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

1485974224896 is a wasteful number, since it uses less digits than its factorization.

1485974224896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1267 counting only the distinct ones).

The product of its digits is 278691840, while the sum is 69.

The spelling of 1485974224896 in words is "one trillion, four hundred eighty-five billion, nine hundred seventy-four million, two hundred twenty-four thousand, eight hundred ninety-six".