Search a number
-
+
1981544973696 = 27322959313487
BaseRepresentation
bin11100110101011101010…
…010001100010110000000
321000102201021110101012100
4130311131102030112000
5224431201003124241
64114150441430400
7263106350240451
oct34653522142600
97012637411170
101981544973696
116a440652a432
1228005349b400
13114b21c97372
146bc9b857128
1536827be19b6
hex1cd5d48c580

1981544973696 has 96 divisors (see below), whose sum is σ = 5898726381600. Its totient is φ = 637738601472.

The previous prime is 1981544973643. The next prime is 1981544973701. The reversal of 1981544973696 is 6963794451891.

It is a happy number.

1981544973696 is a `hidden beast` number, since 1 + 9 + 8 + 1 + 544 + 9 + 73 + 6 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29623336 + ... + 29690151.

It is an arithmetic number, because the mean of its divisors is an integer number (61445066475).

Almost surely, 21981544973696 is an apocalyptic number.

1981544973696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1981544973696 is an abundant number, since it is smaller than the sum of its proper divisors (3917181407904).

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

1981544973696 is a wasteful number, since it uses less digits than its factorization.

1981544973696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59313536 (or 59313521 counting only the distinct ones).

The product of its digits is 352719360, while the sum is 72.

The spelling of 1981544973696 in words is "one trillion, nine hundred eighty-one billion, five hundred forty-four million, nine hundred seventy-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 261 288 348 384 464 522 576 696 928 1044 1152 1392 1856 2088 2784 3712 4176 5568 8352 11136 16704 33408 59313487 118626974 177940461 237253948 355880922 474507896 533821383 711761844 949015792 1067642766 1423523688 1720091123 1898031584 2135285532 2847047376 3440182246 3796063168 4270571064 5160273369 5694094752 6880364492 7592126336 8541142128 10320546738 11388189504 13760728984 15480820107 17082284256 20641093476 22776379008 27521457968 30961640214 34164568512 41282186952 55042915936 61923280428 68329137024 82564373904 110085831872 123846560856 165128747808 220171663744 247693121712 330257495616 495386243424 660514991232 990772486848 1981544973696