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1388508121980 = 2234573137106751
BaseRepresentation
bin10100001101001001100…
…010001000101101111100
311220201222111222220110000
4110031021202020231330
5140222131034400410
62541512151514300
7202213345205340
oct24151142105574
94821874886400
101388508121980
11495954700241
121a5128688990
13a0c21b0c255
144b2c0299620
15261b930ddc0
hex14349888b7c

1388508121980 has 480 divisors, whose sum is σ = 5277572923392. Its totient is φ = 298831680000.

The previous prime is 1388508121939. The next prime is 1388508122003. The reversal of 1388508121980 is 891218058831.

1388508121980 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 508 + 121 + 9 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12953605 + ... + 13060355.

Almost surely, 21388508121980 is an apocalyptic number.

1388508121980 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 1388508121980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2638786461696).

1388508121980 is an abundant number, since it is smaller than the sum of its proper divisors (3889064801412).

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

1388508121980 is a wasteful number, since it uses less digits than its factorization.

1388508121980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106847 (or 106836 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 54.

The spelling of 1388508121980 in words is "one trillion, three hundred eighty-eight billion, five hundred eight million, one hundred twenty-one thousand, nine hundred eighty".