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16166004660 = 223251361711197
BaseRepresentation
bin11110000111001000…
…11010011110110100
31112201122012010101100
433003210122132310
5231101444122120
611232045330100
71111415525631
oct170344323664
945648163340
1016166004660
116946319633
123171b66930
1316a8299b40
14ad5025188
15649387490
hex3c391a7b4

16166004660 has 144 divisors (see below), whose sum is σ = 52899262416. Its totient is φ = 3972519936.

The previous prime is 16166004619. The next prime is 16166004689. The reversal of 16166004660 is 6640066161.

16166004660 is a `hidden beast` number, since 1 + 6 + 1 + 6 + 600 + 46 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6969578256 + 9196426404 = 83484^2 + 95898^2 .

It is a super-2 number, since 2×161660046602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1438182 + ... + 1449378.

It is an arithmetic number, because the mean of its divisors is an integer number (367355989).

Almost surely, 216166004660 is an apocalyptic number.

16166004660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16166004660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26449631208).

16166004660 is an abundant number, since it is smaller than the sum of its proper divisors (36733257756).

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

16166004660 is a wasteful number, since it uses less digits than its factorization.

16166004660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11842 (or 11837 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 16166004660 in words is "sixteen billion, one hundred sixty-six million, four thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 617 780 1170 1234 1851 2340 2468 3085 3702 5553 6170 7404 8021 9255 11106 11197 12340 16042 18510 22212 22394 24063 27765 32084 33591 37020 40105 44788 48126 55530 55985 67182 72189 80210 96252 100773 111060 111970 120315 134364 144378 145561 160420 167955 201546 223940 240630 288756 291122 335910 360945 403092 436683 481260 503865 582244 671820 721890 727805 873366 1007730 1310049 1443780 1455610 1746732 2015460 2183415 2620098 2911220 4366830 5240196 6550245 6908549 8733660 13100490 13817098 20725647 26200980 27634196 34542745 41451294 62176941 69085490 82902588 89811137 103628235 124353882 138170980 179622274 207256470 248707764 269433411 310884705 359244548 414512940 449055685 538866822 621769410 808300233 898111370 1077733644 1243538820 1347167055 1616600466 1796222740 2694334110 3233200932 4041501165 5388668220 8083002330 16166004660