Search a number
-
+
1690056632000 = 265311171129717
BaseRepresentation
bin11000100101111111001…
…110011010011011000000
312222120022221201101121002
4120211333032122123000
5210142213444211000
63332222402551132
7233050115226332
oct30457716323300
95876287641532
101690056632000
115a18269aaa90
122336646684a8
13c34aa6b6279
145bb28d2b452
152de678ea8d5
hex1897f39a6c0

1690056632000 has 224 divisors, whose sum is σ = 4834506171456. Its totient is φ = 578414592000.

The previous prime is 1690056631997. The next prime is 1690056632057. The reversal of 1690056632000 is 2366500961.

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, 931142 + ... + 2060858.

Almost surely, 21690056632000 is an apocalyptic number.

1690056632000 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 1690056632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2417253085728).

1690056632000 is an abundant number, since it is smaller than the sum of its proper divisors (3144449539456).

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

1690056632000 is a wasteful number, since it uses less digits than its factorization.

1690056632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129772 (or 1129752 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 38.

The spelling of 1690056632000 in words is "one trillion, six hundred ninety billion, fifty-six million, six hundred thirty-two thousand".