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104346346016 = 25112163165331
BaseRepresentation
bin110000100101110000…
…1101110001000100000
3100222100002001121010002
41201023201232020200
53202200131033031
6115534104155132
710352541210143
oct1411341561040
9328302047102
10104346346016
1140286879200
1218281468aa8
139abc108113
14509c3b005a
152aaaac5ccb
hex184b86e220

104346346016 has 72 divisors (see below), whose sum is σ = 227191959792. Its totient is φ = 47138889600.

The previous prime is 104346346009. The next prime is 104346346033. The reversal of 104346346016 is 610643643401.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 548471 + ... + 713801.

It is an arithmetic number, because the mean of its divisors is an integer number (3155443886).

Almost surely, 2104346346016 is an apocalyptic number.

104346346016 is a gapful number since it is divisible by the number (16) 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 104346346016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113595979896).

104346346016 is an abundant number, since it is smaller than the sum of its proper divisors (122845613776).

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

104346346016 is a wasteful number, since it uses less digits than its factorization.

104346346016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165526 (or 165507 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 38.

Adding to 104346346016 its reverse (610643643401), we get a palindrome (714989989417).

The spelling of 104346346016 in words is "one hundred four billion, three hundred forty-six million, three hundred forty-six thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 163 176 242 326 352 484 652 968 1304 1793 1936 2608 3586 3872 5216 7172 14344 19723 28688 39446 57376 78892 157784 165331 315568 330662 631136 661324 1322648 1818641 2645296 3637282 5290592 7274564 14549128 20005051 26948953 29098256 40010102 53897906 58196512 80020204 107795812 160040408 215591624 296438483 320080816 431183248 592876966 640161632 862366496 1185753932 2371507864 3260823313 4743015728 6521646626 9486031456 13043293252 26086586504 52173173008 104346346016