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213323432168 = 23721185757727
BaseRepresentation
bin1100011010101100010…
…0010100000011101000
3202101121212200011111002
43012223010110003220
511443341244312133
6241555513254132
721261232153400
oct3065304240350
9671555604432
10213323432168
1182519574a70
1235415704348
1317168704352
14a47979d800
155837eb2ce8
hex31ab1140e8

213323432168 has 96 divisors (see below), whose sum is σ = 508184202240. Its totient is φ = 83014606080.

The previous prime is 213323432167. The next prime is 213323432221. The reversal of 213323432168 is 861234323312.

It is not an unprimeable number, because it can be changed into a prime (213323432167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3666521 + ... + 3724247.

It is an arithmetic number, because the mean of its divisors is an integer number (5293585440).

Almost surely, 2213323432168 is an apocalyptic number.

213323432168 is a gapful number since it is divisible by the number (28) 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 213323432168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254092101120).

213323432168 is an abundant number, since it is smaller than the sum of its proper divisors (294860770072).

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

213323432168 is a wasteful number, since it uses less digits than its factorization.

213323432168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58615 (or 58604 counting only the distinct ones).

The product of its digits is 124416, while the sum is 38.

The spelling of 213323432168 in words is "two hundred thirteen billion, three hundred twenty-three million, four hundred thirty-two thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 154 196 308 392 539 616 857 1078 1714 2156 3428 4312 5999 6856 9427 11998 18854 23996 37708 41993 47992 57727 65989 75416 83986 115454 131978 167972 230908 263956 335944 404089 461816 461923 527912 634997 808178 923846 1269994 1616356 1847692 2539988 2828623 3232712 3695384 4444979 5079976 5657246 8889958 11314492 17779916 22628984 31114853 35559832 49472039 62229706 98944078 124459412 197888156 248918824 346304273 395776312 544192429 692608546 1088384858 1385217092 2176769716 2424129911 2770434184 3809347003 4353539432 4848259822 7618694006 9696519644 15237388012 19393039288 26665429021 30474776024 53330858042 106661716084 213323432168