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1383600693552 = 243731171107603
BaseRepresentation
bin10100001000100101000…
…001110010000100110000
311220021022111210201012120
4110020211001302010300
5140132103234143202
62535341204354240
7201650625564000
oct24104501620460
94807274721176
101383600693552
11493866580670
121a41990a5980
13a061c1c2c4c
144ad76614000
1525ecd5910bc
hex14225072130

1383600693552 has 320 divisors, whose sum is σ = 4611304857600. Its totient is φ = 354311865600.

The previous prime is 1383600693551. The next prime is 1383600693583. The reversal of 1383600693552 is 2553960063831.

It is a junction number, because it is equal to n+sod(n) for n = 1383600693495 and 1383600693504.

It is not an unprimeable number, because it can be changed into a prime (1383600693551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12804583 + ... + 12912185.

It is an arithmetic number, because the mean of its divisors is an integer number (14410327680).

Almost surely, 21383600693552 is an apocalyptic number.

1383600693552 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 1383600693552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305652428800).

1383600693552 is an abundant number, since it is smaller than the sum of its proper divisors (3227704164048).

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

1383600693552 is a wasteful number, since it uses less digits than its factorization.

1383600693552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107717 (or 107697 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 51.

The spelling of 1383600693552 in words is "one trillion, three hundred eighty-three billion, six hundred million, six hundred ninety-three thousand, five hundred fifty-two".