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3164431116 = 2237117974297
BaseRepresentation
bin1011110010011101…
…0110001100001100
322011112102202102110
42330213112030030
522440043243431
61242000424020
7141263135460
oct27447261414
98145382373
103164431116
111384269a30
12743918010
133b5796b62
142203aa4a0
15137c24346
hexbc9d630c

3164431116 has 96 divisors (see below), whose sum is σ = 9219313152. Its totient is φ = 820707840.

The previous prime is 3164431099. The next prime is 3164431117. The reversal of 3164431116 is 6111344613.

3164431116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3164431117) 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, 734280 + ... + 738576.

It is an arithmetic number, because the mean of its divisors is an integer number (96034512).

Almost surely, 23164431116 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 3164431116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4609656576).

3164431116 is an abundant number, since it is smaller than the sum of its proper divisors (6054882036).

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

3164431116 is a wasteful number, since it uses less digits than its factorization.

3164431116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5119 (or 5117 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 3164431116 is about 56253.2764912409. The cubic root of 3164431116 is about 1468.1323739050.

Adding to 3164431116 its reverse (6111344613), we get a palindrome (9275775729).

The spelling of 3164431116 in words is "three billion, one hundred sixty-four million, four hundred thirty-one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 797 924 1594 2391 3188 4297 4782 5579 8594 8767 9564 11158 12891 16737 17188 17534 22316 25782 26301 30079 33474 35068 47267 51564 52602 60158 61369 66948 90237 94534 105204 120316 122738 141801 180474 184107 189068 245476 283602 330869 360948 368214 567204 661738 736428 992607 1323476 1985214 3424709 3970428 6849418 10274127 13698836 20548254 23972963 37671799 41096508 47945926 71918889 75343598 95891852 113015397 143837778 150687196 226030794 263702593 287675556 452061588 527405186 791107779 1054810372 1582215558 3164431116