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348747603712 = 2822748712323
BaseRepresentation
bin1010001001100101111…
…10100001111100000000
31020100011211010212122021
411010302332201330000
521203213341304322
6424113515251224
734124201502064
oct5046276417400
91210154125567
10348747603712
111249a2a264a2
125770aa49b14
1326b6b290131
1412c453c3aa4
1591121184c7
hex5132fa1f00

348747603712 has 72 divisors (see below), whose sum is σ = 700692160896. Its totient is φ = 173235096576.

The previous prime is 348747603709. The next prime is 348747603773. The reversal of 348747603712 is 217306747843.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 348747603712.

It is a congruent number.

It is an unprimeable number.

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, 28294383 + ... + 28306705.

It is an arithmetic number, because the mean of its divisors is an integer number (9731835568).

Almost surely, 2348747603712 is an apocalyptic number.

348747603712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348747603712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350346080448).

348747603712 is an abundant number, since it is smaller than the sum of its proper divisors (351944557184).

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

348747603712 is a wasteful number, since it uses less digits than its factorization.

348747603712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13053 (or 13039 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 52.

The spelling of 348747603712 in words is "three hundred forty-eight billion, seven hundred forty-seven million, six hundred three thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 227 256 454 487 908 974 1816 1948 3632 3896 7264 7792 12323 14528 15584 24646 29056 31168 49292 58112 62336 98584 110549 124672 197168 221098 394336 442196 788672 884392 1577344 1768784 2797321 3154688 3537568 5594642 6001301 7075136 11189284 12002602 14150272 22378568 24005204 28300544 44757136 48010408 89514272 96020816 179028544 192041632 358057088 384083264 716114176 768166528 1362295327 1536333056 2724590654 5449181308 10898362616 21796725232 43593450464 87186900928 174373801856 348747603712