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202749007164 = 223111535977327
BaseRepresentation
bin1011110011010011001…
…0000101010100111100
3201101022221000201101120
42330310302011110330
511310212221212124
6233050330510540
720435211061104
oct2746462052474
9641287021346
10202749007164
1178a9258aa50
1233364295450
1316171a04132
149b55230204
155419989d79
hex2f34c8553c

202749007164 has 24 divisors (see below), whose sum is σ = 516088382208. Its totient is φ = 61439093040.

The previous prime is 202749007151. The next prime is 202749007171. The reversal of 202749007164 is 461700947202.

202749007164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2027490071642 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 767988532 + ... + 767988795.

It is an arithmetic number, because the mean of its divisors is an integer number (21503682592).

Almost surely, 2202749007164 is an apocalyptic number.

It is an amenable number.

202749007164 is an abundant number, since it is smaller than the sum of its proper divisors (313339375044).

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

202749007164 is a wasteful number, since it uses less digits than its factorization.

202749007164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535977345 (or 1535977343 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 202749007164 in words is "two hundred two billion, seven hundred forty-nine million, seven thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 1535977327 3071954654 4607931981 6143909308 9215863962 16895750597 18431727924 33791501194 50687251791 67583002388 101374503582 202749007164