Search a number
-
+
458341219197048 = 2331113712672561911
BaseRepresentation
bin110100000110110111110000…
…1100011100110000001111000
32020002211222210121220222022210
41220031233201203212001320
5440033430304103301143
64302451014352015120
7165354026454610455
oct15015574143460170
92202758717828283
10458341219197048
11123050468340020
12434a5722b314a0
13168995121cc2b5
148127b94aca82c
1537ec790e28033
hex1a0dbe18e6078

458341219197048 has 64 divisors (see below), whose sum is σ = 1259145751576320. Its totient is φ = 137877473580800.

The previous prime is 458341219197041. The next prime is 458341219197083. The reversal of 458341219197048 is 840791912143854.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a self number, because there is not a number n which added to its sum of digits gives 458341219197048.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (458341219197041) by changing a digit.

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, 6336244788 + ... + 6336317123.

It is an arithmetic number, because the mean of its divisors is an integer number (19674152368380).

Almost surely, 2458341219197048 is an apocalyptic number.

It is an amenable number.

458341219197048 is an abundant number, since it is smaller than the sum of its proper divisors (800804532379272).

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

458341219197048 is a wasteful number, since it uses less digits than its factorization.

458341219197048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12672562068 (or 12672562064 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 66.

The spelling of 458341219197048 in words is "four hundred fifty-eight trillion, three hundred forty-one billion, two hundred nineteen million, one hundred ninety-seven thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 137 264 274 411 548 822 1096 1507 1644 3014 3288 4521 6028 9042 12056 18084 36168 12672561911 25345123822 38017685733 50690247644 76035371466 101380495288 139398181021 152070742932 278796362042 304141485864 418194543063 557592724084 836389086126 1115185448168 1672778172252 1736140981807 3345556344504 3472281963614 5208422945421 6944563927228 10416845890842 13889127854456 19097550799877 20833691781684 38195101599754 41667383563368 57292652399631 76390203199508 114585304799262 152780406399016 229170609598524 458341219197048