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106463320173617 = 1171792636560941
BaseRepresentation
bin11000001101001111101100…
…011000010110110000110001
3111221221210102211111112220012
4120031033230120112300301
5102423243334431023432
61014232324001024305
731265502215145551
oct3015175430266061
9457853384445805
10106463320173617
1130a16927821620
12bb3537a625095
1347535a9397a14
141c40bd05a5161
15c4954e0ddcb2
hex60d3ec616c31

106463320173617 has 32 divisors (see below), whose sum is σ = 119721970114560. Its totient is φ = 93855558888000.

The previous prime is 106463320173607. The next prime is 106463320173689. The reversal of 106463320173617 is 716371023364601.

It is a cyclic number.

It is not a de Polignac number, because 106463320173617 - 222 = 106463315979313 is a prime.

It is a super-2 number, since 2×1064633201736172 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106463320173607) 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, 12946367 + ... + 19507307.

It is an arithmetic number, because the mean of its divisors is an integer number (3741311566080).

Almost surely, 2106463320173617 is an apocalyptic number.

It is an amenable number.

106463320173617 is a deficient number, since it is larger than the sum of its proper divisors (13258649940943).

106463320173617 is a wasteful number, since it uses less digits than its factorization.

106463320173617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6561365.

The product of its (nonzero) digits is 2286144, while the sum is 50.

The spelling of 106463320173617 in words is "one hundred six trillion, four hundred sixty-three billion, three hundred twenty million, one hundred seventy-three thousand, six hundred seventeen".

Divisors: 1 11 71 79 263 781 869 2893 5609 18673 20777 61699 205403 228547 1475167 6560941 16226837 72170351 465826811 518314339 1725527483 5124094921 5701457729 18980802313 36800318069 122512451293 136316671157 404803498759 1347636964223 1499483382727 9678483652147 106463320173617