Search a number
-
+
152564132235053 = 711172292691892017
BaseRepresentation
bin100010101100000110011010…
…111010000100011100101101
3202000011222200200122110020002
4202230012122322010130231
5124444102320323010203
61300250554512434045
744064252264142250
oct4254063272043455
9660158620573202
10152564132235053
11446800a33429a0
121513bb4b248925
136718974b18816
1429962016b9097
151298823438d88
hex8ac19ae8472d

152564132235053 has 64 divisors (see below), whose sum is σ = 203030181158400. Its totient is φ = 110985355837440.

The previous prime is 152564132234963. The next prime is 152564132235059. The reversal of 152564132235053 is 350532231465251.

It is a happy number.

It is not a de Polignac number, because 152564132235053 - 222 = 152564128040749 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 152564132234989 and 152564132235007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152564132235059) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79689701 + ... + 81581717.

It is an arithmetic number, because the mean of its divisors is an integer number (3172346580600).

Almost surely, 2152564132235053 is an apocalyptic number.

It is an amenable number.

152564132235053 is a deficient number, since it is larger than the sum of its proper divisors (50466048923347).

152564132235053 is a wasteful number, since it uses less digits than its factorization.

152564132235053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1892550.

The product of its (nonzero) digits is 3240000, while the sum is 47.

The spelling of 152564132235053 in words is "one hundred fifty-two trillion, five hundred sixty-four billion, one hundred thirty-two million, two hundred thirty-five thousand, fifty-three".

Divisors: 1 7 11 17 77 119 187 229 269 1309 1603 1883 2519 2959 3893 4573 17633 20713 27251 32011 42823 50303 61601 299761 352121 431207 677611 1047217 1892017 4743277 7330519 11519387 13244119 20812187 32164289 80635709 145685309 225150023 353807179 433271893 508952573 2476650253 3032903251 3562668011 4765990823 5598478303 7365622181 8652193741 33361935761 39189348121 51559355267 60565356187 81021843991 95174131151 116550139217 567152907937 666218918057 815850974519 1282051531387 1981352366689 8974360719709 13869466566823 21794876033579 152564132235053