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10334417268 = 22371731813929
BaseRepresentation
bin10011001111111101…
…01011000101110100
3222200020000210101010
421213332223011310
5132131102323033
64425250232220
7514045045260
oct114776530564
928606023333
1010334417268
11442356671a
122004b85670
13c89078a06
147007350a0
15407419863
hex267fab174

10334417268 has 96 divisors (see below), whose sum is σ = 27877973760. Its totient is φ = 2918661120.

The previous prime is 10334417267. The next prime is 10334417299. The reversal of 10334417268 is 86271443301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10334417267) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2628328 + ... + 2632256.

It is an arithmetic number, because the mean of its divisors is an integer number (290395560).

Almost surely, 210334417268 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 10334417268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13938986880).

10334417268 is an abundant number, since it is smaller than the sum of its proper divisors (17543556492).

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

10334417268 is a wasteful number, since it uses less digits than its factorization.

10334417268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4297 (or 4295 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 10334417268 in words is "ten billion, three hundred thirty-four million, four hundred seventeen thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 173 181 346 362 519 543 692 724 1038 1086 1211 1267 2076 2172 2422 2534 3633 3801 3929 4844 5068 7266 7602 7858 11787 14532 15204 15716 23574 27503 31313 47148 55006 62626 82509 93939 110012 125252 165018 187878 219191 330036 375756 438382 657573 679717 711149 876764 1315146 1359434 1422298 2039151 2133447 2630292 2718868 2844596 4078302 4266894 4758019 4978043 8156604 8533788 9516038 9956086 14274057 14934129 19032076 19912172 28548114 29868258 57096228 59736516 123028777 246057554 369086331 492115108 738172662 861201439 1476345324 1722402878 2583604317 3444805756 5167208634 10334417268