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471160000044 = 22344747236551
BaseRepresentation
bin1101101101100110101…
…00110000111000101100
31200001010221122220210000
412312303110300320230
530204413430000134
61000240425544300
746016532630666
oct6666324607054
91601127586700
10471160000044
111718aa59a698
1277392645090
13355791b3646
1418b38c95536
15c3c8c92e99
hex6db3530e2c

471160000044 has 120 divisors (see below), whose sum is σ = 1258370201088. Its totient is φ = 153655768800.

The previous prime is 471159999983. The next prime is 471160000093. The reversal of 471160000044 is 440000061174.

471160000044 is a `hidden beast` number, since 4 + 7 + 11 + 600 + 0 + 0 + 0 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 471159999972 and 471160000017.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 71918569 + ... + 71925119.

Almost surely, 2471160000044 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 471160000044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629185100544).

471160000044 is an abundant number, since it is smaller than the sum of its proper divisors (787210201044).

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

471160000044 is a wasteful number, since it uses less digits than its factorization.

471160000044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11337 (or 11326 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 471160000044 in words is "four hundred seventy-one billion, one hundred sixty million, forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 81 94 108 141 162 188 282 324 423 564 846 1269 1692 2538 3807 4723 5076 6551 7614 9446 13102 14169 15228 18892 19653 26204 28338 39306 42507 56676 58959 78612 85014 117918 127521 170028 176877 221981 235836 255042 307897 353754 382563 443962 510084 530631 615794 665943 707508 765126 887924 923691 1061262 1231588 1331886 1530252 1847382 1997829 2122524 2663772 2771073 3694764 3995658 5542146 5993487 7991316 8313219 11084292 11986974 16626438 17980461 23973948 24939657 30940373 33252876 35960922 49879314 61880746 71921844 92821119 99758628 123761492 185642238 278463357 371284476 556926714 835390071 1113853428 1454197531 1670780142 2506170213 2908395062 3341560284 4362592593 5012340426 5816790124 8725185186 10024680852 13087777779 17450370372 26175555558 39263333337 52351111116 78526666674 117790000011 157053333348 235580000022 471160000044