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2344453999968 = 25348315055143
BaseRepresentation
bin100010000111011100010…
…110010000110101100000
322022010110000211001112110
4202013130112100311200
5301402420210444333
64553005521355320
7331244520124023
oct42073426206540
98263400731473
102344453999968
11824306188233
1231a454a98b40
13140109134472
14816879331ba
1540eb81c7063
hex221dc590d60

2344453999968 has 48 divisors (see below), whose sum is σ = 6155466863616. Its totient is φ = 781322747520.

The previous prime is 2344453999967. The next prime is 2344454000011. The reversal of 2344453999968 is 8699993544432.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2344453999968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2344453999963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2063796 + ... + 2991347.

It is an arithmetic number, because the mean of its divisors is an integer number (128238892992).

Almost surely, 22344453999968 is an apocalyptic number.

It is an amenable number.

2344453999968 is an abundant number, since it is smaller than the sum of its proper divisors (3811012863648).

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

2344453999968 is a wasteful number, since it uses less digits than its factorization.

2344453999968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5059987 (or 5059979 counting only the distinct ones).

The product of its digits is 1813985280, while the sum is 75.

The spelling of 2344453999968 in words is "two trillion, three hundred forty-four billion, four hundred fifty-three million, nine hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 4831 9662 14493 19324 28986 38648 57972 77296 115944 154592 231888 463776 5055143 10110286 15165429 20220572 30330858 40441144 60661716 80882288 121323432 161764576 242646864 485293728 24421395833 48842791666 73264187499 97685583332 146528374998 195371166664 293056749996 390742333328 586113499992 781484666656 1172226999984 2344453999968