Search a number
-
+
20172256601949 = 333720192449051
BaseRepresentation
bin1001001011000101110000…
…01100000110011101011101
32122102110010020122112201000
410211202320030012131131
510121000240142230244
6110523001242540513
74151253216001314
oct445427014063535
978373106575630
1020172256601949
116478007a646a1
122319627b07739
13b3430a8c983a
144da4b18a727b
1524ead787e169
hex1258b830675d

20172256601949 has 16 divisors (see below), whose sum is σ = 30692522559040. Its totient is φ = 13084706984400.

The previous prime is 20172256601927. The next prime is 20172256601971. The reversal of 20172256601949 is 94910665227102.

It is a happy number.

20172256601949 is a `hidden beast` number, since 2 + 0 + 1 + 7 + 2 + 25 + 6 + 601 + 9 + 4 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (20172256601927) and next prime (20172256601971).

It is not a de Polignac number, because 20172256601949 - 216 = 20172256536413 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20172256601895 and 20172256601904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20172256600949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10096223527 + ... + 10096225524.

It is an arithmetic number, because the mean of its divisors is an integer number (1918282659940).

Almost surely, 220172256601949 is an apocalyptic number.

It is an amenable number.

20172256601949 is a deficient number, since it is larger than the sum of its proper divisors (10520265957091).

20172256601949 is a wasteful number, since it uses less digits than its factorization.

20172256601949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20192449097 (or 20192449091 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 20172256601949 in words is "twenty trillion, one hundred seventy-two billion, two hundred fifty-six million, six hundred one thousand, nine hundred forty-nine".

Divisors: 1 3 9 27 37 111 333 999 20192449051 60577347153 181732041459 545196124377 747120614887 2241361844661 6724085533983 20172256601949