Search a number
-
+
1689022541376 = 2632541512
BaseRepresentation
bin11000100101000001100…
…101101010111001000000
312222110122212220010221100
4120211001211222321000
5210133104232311001
63331532022454400
7233012360502012
oct30450145527100
95873585803840
101689022541376
115a1346212435
12233416294400
13c33743a1221
145ba6b8681b2
152de06c33586
hex1894196ae40

1689022541376 has 63 divisors (see below), whose sum is σ = 4841367557403. Its totient is φ = 562997116800.

The previous prime is 1689022541347. The next prime is 1689022541413. The reversal of 1689022541376 is 6731452209861.

It is a happy number.

The square root of 1689022541376 is 1299624.

It is a perfect power (a square), and thus also a powerful number.

1689022541376 is a `hidden beast` number, since 1 + 6 + 8 + 9 + 0 + 22 + 541 + 3 + 76 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31163901 + ... + 31218051.

It is a 1-persistent number, because it is pandigital, but 2⋅1689022541376 = 3378045082752 is not.

Almost surely, 21689022541376 is an apocalyptic number.

1689022541376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1689022541376 is the 1299624-th square number.

It is an amenable number.

1689022541376 is an abundant number, since it is smaller than the sum of its proper divisors (3152345016027).

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

1689022541376 is an frugal number, since it uses more digits than its factorization.

1689022541376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108320 (or 54156 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 1689022541376 in words is "one trillion, six hundred eighty-nine billion, twenty-two million, five hundred forty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 54151 108302 162453 216604 324906 433208 487359 649812 866416 974718 1299624 1732832 1949436 2599248 3465664 3898872 5198496 7797744 10396992 15595488 31190976 2932330801 5864661602 8796992403 11729323204 17593984806 23458646408 26390977209 35187969612 46917292816 52781954418 70375939224 93834585632 105563908836 140751878448 187669171264 211127817672 281503756896 422255635344 563007513792 844511270688 1689022541376