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3451748932064 = 253122760725253
BaseRepresentation
bin110010001110101100010…
…001001101100111100000
3110012222120022120202211102
4302032230101031213200
5423023140211311224
611201413410533532
7504244361552126
oct62165421154740
913188508522742
103451748932064
111110973315724
12478b7b8972a8
131c066335a7b4
14bd0cbbab916
155ebc42ee4ae
hex323ac44d9e0

3451748932064 has 96 divisors (see below), whose sum is σ = 7057633959936. Its totient is φ = 1660038197760.

The previous prime is 3451748932057. The next prime is 3451748932111. The reversal of 3451748932064 is 4602398471543.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136674062 + ... + 136699314.

It is an arithmetic number, because the mean of its divisors is an integer number (73517020416).

It is a 1-persistent number, because it is pandigital, but 2⋅3451748932064 = 6903497864128 is not.

Almost surely, 23451748932064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3451748932064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528816979968).

3451748932064 is an abundant number, since it is smaller than the sum of its proper divisors (3605885027872).

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

3451748932064 is a wasteful number, since it uses less digits than its factorization.

3451748932064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26128 (or 26120 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 56.

The spelling of 3451748932064 in words is "three trillion, four hundred fifty-one billion, seven hundred forty-eight million, nine hundred thirty-two thousand, sixty-four".

Divisors: 1 2 4 8 16 31 32 62 124 227 248 454 496 607 908 992 1214 1816 2428 3632 4856 7037 7264 9712 14074 18817 19424 25253 28148 37634 50506 56296 75268 101012 112592 137789 150536 202024 225184 275578 301072 404048 551156 602144 782843 808096 1102312 1565686 2204624 3131372 4271459 4409248 5732431 6262744 8542918 11464862 12525488 15328571 17085836 22929724 25050976 30657142 34171672 45859448 61314284 68343344 91718896 122628568 136686688 177705361 183437792 245257136 355410722 475185701 490514272 710821444 950371402 1421642888 1900742804 2843285776 3479585617 3801485608 5686571552 6959171234 7602971216 13918342468 15205942432 27836684936 55673369872 107867154127 111346739744 215734308254 431468616508 862937233016 1725874466032 3451748932064