Search a number
-
+
1673983600380 = 22325731319313541
BaseRepresentation
bin11000010111000001001…
…100101010011011111100
312221000211210110210020200
4120113001030222123330
5204411304300203010
63321003434043500
7231640605555000
oct30270114523374
95830753423220
101673983600380
11595a29113483
12230519879590
13c1b1876c680
145b0423c8700
152d8267cacc0
hex185c132a6fc

1673983600380 has 1152 divisors, whose sum is σ = 6931212288000. Its totient is φ = 323717990400.

The previous prime is 1673983600369. The next prime is 1673983600397. The reversal of 1673983600380 is 830063893761.

1673983600380 is a `hidden beast` number, since 167 + 3 + 98 + 360 + 0 + 38 + 0 = 666.

It is a super-2 number, since 2×16739836003802 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 472741410 + ... + 472744950.

Almost surely, 21673983600380 is an apocalyptic number.

1673983600380 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 1673983600380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3465606144000).

1673983600380 is an abundant number, since it is smaller than the sum of its proper divisors (5257228687620).

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

1673983600380 is a wasteful number, since it uses less digits than its factorization.

1673983600380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3640 (or 3621 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 1673983600380 in words is "one trillion, six hundred seventy-three billion, nine hundred eighty-three million, six hundred thousand, three hundred eighty".