Search a number
-
+
454272272454 = 237111397777417
BaseRepresentation
bin1101001110001001011…
…11001100100001000110
31121102120000102110122210
412213010233030201012
524420322200204304
6544404555204250
744551201414410
oct6470457144106
91542500373583
10454272272454
11165723944a30
127405aa46686
1333ab753ca20
1417db607d9b0
15bc3b396c89
hex69c4bcc846

454272272454 has 128 divisors (see below), whose sum is σ = 1221128358912. Its totient is φ = 108803543040.

The previous prime is 454272272437. The next prime is 454272272459.

454272272454 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454272272459) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5829154 + ... + 5906570.

It is an arithmetic number, because the mean of its divisors is an integer number (9540065304).

Almost surely, 2454272272454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454272272454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610564179456).

454272272454 is an abundant number, since it is smaller than the sum of its proper divisors (766856086458).

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

454272272454 is a wasteful number, since it uses less digits than its factorization.

454272272454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78430.

The product of its digits is 5017600, while the sum is 48.

The spelling of 454272272454 in words is "four hundred fifty-four billion, two hundred seventy-two million, two hundred seventy-two thousand, four hundred fifty-four".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 977 1001 1954 2002 2931 3003 5862 6006 6839 10747 12701 13678 20517 21494 25402 32241 38103 41034 64482 75229 76206 77417 88907 139711 150458 154834 177814 225687 232251 266721 279422 419133 451374 464502 533442 541919 838266 851587 977977 1006421 1083838 1625757 1703174 1955954 2012842 2554761 2933931 3019263 3251514 5109522 5867862 5961109 6038526 7044947 11070631 11922218 14089894 17883327 21134841 22141262 33211893 35766654 42269682 66423786 75636409 77494417 151272818 154988834 226909227 232483251 453818454 464966502 529454863 832000499 983273317 1058909726 1588364589 1664000998 1966546634 2496001497 2949819951 3176729178 4992002994 5824003493 5899639902 6882913219 10816006487 11648006986 13765826438 17472010479 20648739657 21632012974 32448019461 34944020958 41297479314 64896038922 75712045409 151424090818 227136136227 454272272454