Search a number
-
+
16997964156 = 2233438594261
BaseRepresentation
bin11111101010010100…
…00101100101111100
31121212121200001021000
433311022011211330
5234302434323111
611450405210300
71141140211545
oct176512054574
947777601230
1016997964156
1172329a9068
123364700990
1317ab75c874
14b7370d4cc
15697423c56
hex3f528597c

16997964156 has 96 divisors (see below), whose sum is σ = 45156742400. Its totient is φ = 5526480960.

The previous prime is 16997964143. The next prime is 16997964157. The reversal of 16997964156 is 65146979961.

It is a junction number, because it is equal to n+sod(n) for n = 16997964093 and 16997964102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16997964157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3987066 + ... + 3991326.

Almost surely, 216997964156 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 16997964156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22578371200).

16997964156 is an abundant number, since it is smaller than the sum of its proper divisors (28158778244).

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

16997964156 is a wasteful number, since it uses less digits than its factorization.

16997964156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5176 (or 5168 counting only the distinct ones).

The product of its digits is 22044960, while the sum is 63.

The spelling of 16997964156 in words is "sixteen billion, nine hundred ninety-seven million, nine hundred sixty-four thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 258 387 516 774 859 1161 1548 1718 2322 2577 3436 4261 4644 5154 7731 8522 10308 12783 15462 17044 23193 25566 30924 36937 38349 46386 51132 73874 76698 92772 110811 115047 147748 153396 183223 221622 230094 332433 366446 443244 460188 549669 664866 732892 997299 1099338 1329732 1649007 1994598 2198676 3298014 3660199 3989196 4947021 6596028 7320398 9894042 10980597 14640796 19788084 21961194 32941791 43922388 65883582 98825373 131767164 157388557 197650746 314777114 395301492 472165671 629554228 944331342 1416497013 1888662684 2832994026 4249491039 5665988052 8498982078 16997964156