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1437289949472 = 253131768239929
BaseRepresentation
bin10100111010100101001…
…010000010100100100000
312002101220012121111112120
4110322211022002210200
5142022032211340342
63020140515424240
7205561245664626
oct24724512024440
95071805544476
101437289949472
11504607785253
121b26815b5080
13a56c7394130
144d7cacc9516
15275c1c78aec
hex14ea5282920

1437289949472 has 192 divisors, whose sum is σ = 4303178369280. Its totient is φ = 416125845504.

The previous prime is 1437289949449. The next prime is 1437289949483. The reversal of 1437289949472 is 2749499827341.

It is a junction number, because it is equal to n+sod(n) for n = 1437289949397 and 1437289949406.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144751804 + ... + 144761732.

It is an arithmetic number, because the mean of its divisors is an integer number (22412387340).

Almost surely, 21437289949472 is an apocalyptic number.

1437289949472 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 1437289949472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2151589184640).

1437289949472 is an abundant number, since it is smaller than the sum of its proper divisors (2865888419808).

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

1437289949472 is a wasteful number, since it uses less digits than its factorization.

1437289949472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16795 (or 16787 counting only the distinct ones).

The product of its digits is 219469824, while the sum is 69.

The spelling of 1437289949472 in words is "one trillion, four hundred thirty-seven billion, two hundred eighty-nine million, nine hundred forty-nine thousand, four hundred seventy-two".