Search a number
-
+
201576688152 = 23371199861239
BaseRepresentation
bin1011101110111011101…
…0000010101000011000
3201021022020002202000220
42323232322002220120
511300312113010102
6232334132000040
720364154402320
oct2735672025030
9637266082026
10201576688152
1178540870364
1233097760020
1316015b82248
149a83668280
15539babb1bc
hex2eeee82a18

201576688152 has 32 divisors (see below), whose sum is σ = 575933395200. Its totient is φ = 57593339424.

The previous prime is 201576688109. The next prime is 201576688153. The reversal of 201576688152 is 251886675102.

201576688152 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 2×2015766881522 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201576688095 and 201576688104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201576688153) 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 7 ways as a sum of consecutive naturals, for example, 599930452 + ... + 599930787.

It is an arithmetic number, because the mean of its divisors is an integer number (17997918600).

Almost surely, 2201576688152 is an apocalyptic number.

It is an amenable number.

201576688152 is an abundant number, since it is smaller than the sum of its proper divisors (374356707048).

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

201576688152 is a wasteful number, since it uses less digits than its factorization.

201576688152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199861255 (or 1199861251 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 51.

The spelling of 201576688152 in words is "two hundred one billion, five hundred seventy-six million, six hundred eighty-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1199861239 2399722478 3599583717 4799444956 7199167434 8399028673 9598889912 14398334868 16798057346 25197086019 28796669736 33596114692 50394172038 67192229384 100788344076 201576688152