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1479385690000 = 2454121632
BaseRepresentation
bin10101100001110010010…
…000100010111110010000
312020102112221011200120121
4111201302100202332100
5143214240214040000
63051342001320024
7211611361612261
oct25416220427620
95212487150517
101479385690000
11520449722159
121ba86b336014
13a96756a283a
1451861954968
1528737735b1a
hex15872422f90

1479385690000 has 75 divisors (see below), whose sum is σ = 3582035196663. Its totient is φ = 591705624000.

The previous prime is 1479385689949. The next prime is 1479385690007. The reversal of 1479385690000 is 965839741.

It is a happy number.

The square root of 1479385690000 is 1216300.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 115983838096 + 1363401851904 = 340564^2 + 1167648^2 .

It is a super-2 number, since 2×14793856900002 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1479385690000.

It is not an unprimeable number, because it can be changed into a prime (1479385690007) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 121623919 + ... + 121636081.

Almost surely, 21479385690000 is an apocalyptic number.

1479385690000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1479385690000 is the 1216300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1479385690000

1479385690000 is an abundant number, since it is smaller than the sum of its proper divisors (2102649506663).

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

1479385690000 is an frugal number, since it uses more digits than its factorization.

1479385690000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24354 (or 12170 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 52.

The spelling of 1479385690000 in words is "one trillion, four hundred seventy-nine billion, three hundred eighty-five million, six hundred ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 12163 24326 48652 60815 97304 121630 194608 243260 304075 486520 608150 973040 1216300 1520375 2432600 3040750 4865200 6081500 7601875 12163000 15203750 24326000 30407500 60815000 121630000 147938569 295877138 591754276 739692845 1183508552 1479385690 2367017104 2958771380 3698464225 5917542760 7396928450 11835085520 14793856900 18492321125 29587713800 36984642250 59175427600 73969284500 92461605625 147938569000 184923211250 295877138000 369846422500 739692845000 1479385690000