Search a number
-
+
1690324015072 = 257111719921019
BaseRepresentation
bin11000100110001111001…
…010011001011111100000
312222121000120211212012211
4120212033022121133200
5210143240421440242
63332305113531504
7233056543030660
oct30461712313740
95877016755184
101690324015072
115a1953926930
1223371a113b94
13c3520c03bc4
145bb526501a0
152de81115317
hex1898f2997e0

1690324015072 has 288 divisors, whose sum is σ = 4419553985280. Its totient is φ = 616108584960.

The previous prime is 1690324015033. The next prime is 1690324015099. The reversal of 1690324015072 is 2705104230961.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1658806179 + ... + 1658807197.

It is an arithmetic number, because the mean of its divisors is an integer number (15345673560).

Almost surely, 21690324015072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1690324015072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2209776992640).

1690324015072 is an abundant number, since it is smaller than the sum of its proper divisors (2729229970208).

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

1690324015072 is a wasteful number, since it uses less digits than its factorization.

1690324015072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 1690324015072 in words is "one trillion, six hundred ninety billion, three hundred twenty-four million, fifteen thousand, seventy-two".