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16442370710704 = 2431331270736997
BaseRepresentation
bin1110111101000100100110…
…1010100101110010110000
32011012212122002022021221001
43233101021222211302300
54123342433400220304
654545304255411344
73314631163015351
oct357211152456260
964185562267831
1016442370710704
11526a196683954
121a16784823b54
139236800ab1b3
1440bb5a485d28
151d7a85498da4
hexef449aa5cb0

16442370710704 has 80 divisors (see below), whose sum is σ = 32997167696896. Its totient is φ = 7928805139200.

The previous prime is 16442370710699. The next prime is 16442370710723. The reversal of 16442370710704 is 40701707324461.

16442370710704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×164423707107043 (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444405934 + ... + 444442930.

Almost surely, 216442370710704 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 16442370710704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16498583848448).

16442370710704 is an abundant number, since it is smaller than the sum of its proper divisors (16554796986192).

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

16442370710704 is a wasteful number, since it uses less digits than its factorization.

16442370710704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40074 (or 40068 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 46.

The spelling of 16442370710704 in words is "sixteen trillion, four hundred forty-two billion, three hundred seventy million, seven hundred ten thousand, seven hundred four".

Divisors: 1 2 4 8 16 31 62 124 248 331 496 662 1324 2648 2707 5296 5414 10261 10828 20522 21656 36997 41044 43312 73994 82088 83917 147988 164176 167834 295976 335668 591952 671336 896017 1146907 1342672 1792034 2293814 3584068 4587628 7168136 9175256 12246007 14336272 18350512 24492014 27776527 48984028 55553054 97968056 100150879 111106108 195936112 200301758 222212216 379626217 400603516 444424432 759252434 801207032 1518504868 1602414064 3037009736 3104677249 6074019472 6209354498 12418708996 24837417992 33149940949 49674835984 66299881898 132599763796 265199527592 530399055184 1027648169419 2055296338838 4110592677676 8221185355352 16442370710704