Search a number
-
+
1693409100000 = 25355173110711
BaseRepresentation
bin11000101001000111000…
…011000100000011100000
312222212222120222102010120
4120221013003010003200
5210221100212200000
63333535202000240
7233226153565452
oct30510703040340
95885876872116
101693409100000
115a31973208a2
1223423b346080
13c38c3109147
145bd662842d2
152e0b1db46a0
hex18a470c40e0

1693409100000 has 576 divisors, whose sum is σ = 6073315282944. Its totient is φ = 411264000000.

The previous prime is 1693409099999. The next prime is 1693409100043. The reversal of 1693409100000 is 19043961.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 158094645 + ... + 158105355.

It is an arithmetic number, because the mean of its divisors is an integer number (10543950144).

Almost surely, 21693409100000 is an apocalyptic number.

1693409100000 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 1693409100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3036657641472).

1693409100000 is an abundant number, since it is smaller than the sum of its proper divisors (4379906182944).

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

1693409100000 is a wasteful number, since it uses less digits than its factorization.

1693409100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10797 (or 10769 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The spelling of 1693409100000 in words is "one trillion, six hundred ninety-three billion, four hundred nine million, one hundred thousand".