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444527510374212 = 2231723311987780193
BaseRepresentation
bin110010100010010111010000…
…0010110010100011101000100
32011021221102012111201100110120
41211010232200112110131010
5431231114320123433322
64213233041415221540
7162430024051140366
oct14504564026243504
92137842174640416
10444527510374212
11119705070886091
1241a344ab9778b0
13161069c23b7635
147bab363bc0d36
15365d2a9bd5a5c
hex1944ba0594744

444527510374212 has 96 divisors (see below), whose sum is σ = 1103051359492992. Its totient is φ = 138849309720576.

The previous prime is 444527510374201. The next prime is 444527510374243. The reversal of 444527510374212 is 212473015725444.

It is a super-3 number, since 3×4445275103742123 (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 569375988 + ... + 570156180.

It is an arithmetic number, because the mean of its divisors is an integer number (11490118328052).

Almost surely, 2444527510374212 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 444527510374212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551525679746496).

444527510374212 is an abundant number, since it is smaller than the sum of its proper divisors (658523849118780).

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

444527510374212 is a wasteful number, since it uses less digits than its factorization.

444527510374212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792437 (or 792435 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 51.

The spelling of 444527510374212 in words is "four hundred forty-four trillion, five hundred twenty-seven billion, five hundred ten million, three hundred seventy-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 233 466 699 932 1398 2796 3961 7922 11883 11987 15844 23766 23974 35961 47532 47948 71922 143844 203779 407558 611337 780193 815116 1222674 1560386 2340579 2445348 2792971 3120772 4681158 5585942 8378913 9362316 11171884 13263281 16757826 26526562 33515652 39789843 47480507 53053124 79579686 94961014 142441521 159159372 181784969 189922028 284883042 363569938 545354907 569766084 727139876 1090709814 2181419628 3090344473 6180688946 9271033419 9352173491 12361377892 18542066838 18704346982 28056520473 37084133676 37408693964 56113040946 112226081892 158986949347 317973898694 476960848041 635947797388 953921696082 1907843392164 2179056423403 4358112846806 6537169270209 8716225693612 13074338540418 26148677080836 37043959197851 74087918395702 111131877593553 148175836791404 222263755187106 444527510374212