Search a number
-
+
468076354371367 = 71961357116156429
BaseRepresentation
bin110101001101101101000010…
…0110101000111111100100111
32021101022122212221020222122121
41222123122010311013330213
5442322430333204340432
64335303150400410411
7200410254261350110
oct15233320465077447
92241278787228577
10468076354371367
11126164081354295
12445b8400016a07
131712454575a5a1
14838303312d207
15391ab1803e197
hex1a9b684d47f27

468076354371367 has 32 divisors (see below), whose sum is σ = 572490818163200. Its totient is φ = 373756342780800.

The previous prime is 468076354371323. The next prime is 468076354371391. The reversal of 468076354371367 is 763173453670864.

It is a happy number.

It is not a de Polignac number, because 468076354371367 - 219 = 468076353847079 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 468076354371296 and 468076354371305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468076354371167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20893309 + ... + 37049737.

It is an arithmetic number, because the mean of its divisors is an integer number (17890338067600).

Almost surely, 2468076354371367 is an apocalyptic number.

468076354371367 is a deficient number, since it is larger than the sum of its proper divisors (104414463791833).

468076354371367 is a wasteful number, since it uses less digits than its factorization.

468076354371367 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16160087.

The product of its (nonzero) digits is 1280240640, while the sum is 70.

The spelling of 468076354371367 in words is "four hundred sixty-eight trillion, seventy-six billion, three hundred fifty-four million, three hundred seventy-one thousand, three hundred sixty-seven".

Divisors: 1 7 19 61 133 427 1159 3571 8113 24997 67849 217831 474943 1524817 4138789 16156429 28971523 113095003 306972151 985542169 2148805057 6898795183 18725301211 57694607959 131077108477 403862255713 1096197551221 3519371085499 7673382858547 24635597598493 66868050624481 468076354371367