Search a number
-
+
20831332441735 = 5151166716551391
BaseRepresentation
bin1001011110010001011000…
…01010111001111010000111
32201202110022101010012110101
410233020230022321322013
510212300032101113420
6112145440525304531
74250004560131354
oct457105412717207
981673271105411
1020831332441735
116701578100a82
122405303105147
13b815036ab95a
1452035599562b
15261d0dc4e60a
hex12f22c2b9e87

20831332441735 has 16 divisors (see below), whose sum is σ = 25178242332672. Its totient is φ = 16544769444000.

The previous prime is 20831332441709. The next prime is 20831332441763. The reversal of 20831332441735 is 53714423313802.

It is not a de Polignac number, because 20831332441735 - 27 = 20831332441607 is a prime.

It is a super-2 number, since 2×208313324417352 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7017111 + ... + 9534280.

It is an arithmetic number, because the mean of its divisors is an integer number (1573640145792).

Almost surely, 220831332441735 is an apocalyptic number.

20831332441735 is a deficient number, since it is larger than the sum of its proper divisors (4346909890937).

20831332441735 is a wasteful number, since it uses less digits than its factorization.

20831332441735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16553214.

The product of its (nonzero) digits is 1451520, while the sum is 46.

The spelling of 20831332441735 in words is "twenty trillion, eight hundred thirty-one billion, three hundred thirty-two million, four hundred forty-one thousand, seven hundred thirty-five".

Divisors: 1 5 151 755 1667 8335 251717 1258585 16551391 82756955 2499260041 12496300205 27591168797 137955843985 4166266488347 20831332441735