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4156161660 = 22325712792579
BaseRepresentation
bin1111011110111001…
…1111111001111100
3101201122112212222100
43313232133321330
532002434133120
61524224545100
7204664535250
oct36756377174
911648485870
104156161660
111843054852
1297ba82190
1351309a071
142b5da4260
15194d20490
hexf7b9fe7c

4156161660 has 144 divisors (see below), whose sum is σ = 14424883200. Its totient is φ = 948868992.

The previous prime is 4156161643. The next prime is 4156161679. The reversal of 4156161660 is 661616514.

It is a happy number.

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, 1610251 + ... + 1612829.

It is an arithmetic number, because the mean of its divisors is an integer number (100172800).

Almost surely, 24156161660 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 4156161660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7212441600).

4156161660 is an abundant number, since it is smaller than the sum of its proper divisors (10268721540).

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

4156161660 is a wasteful number, since it uses less digits than its factorization.

4156161660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3880 (or 3875 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 4156161660 is about 64468.2996518444. The cubic root of 4156161660 is about 1607.7955065934.

The spelling of 4156161660 in words is "four billion, one hundred fifty-six million, one hundred sixty-one thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 1279 2558 2579 3837 5116 5158 6395 7674 7737 8953 10316 11511 12790 12895 15348 15474 17906 18053 19185 23022 23211 25580 25790 26859 30948 35812 36106 38370 38685 44765 46044 46422 51580 53718 54159 57555 72212 76740 77370 80577 89530 90265 92844 107436 108318 115110 116055 134295 154740 161154 162477 179060 180530 216636 230220 232110 268590 270795 322308 324954 361060 402885 464220 537180 541590 649908 805770 812385 1083180 1611540 1624770 3249540 3298541 6597082 9895623 13194164 16492705 19791246 23089787 29686869 32985410 39582492 46179574 49478115 59373738 65970820 69269361 92359148 98956230 115448935 118747476 138538722 148434345 197912460 207808083 230897870 277077444 296868690 346346805 415616166 461795740 593737380 692693610 831232332 1039040415 1385387220 2078080830 4156161660