Search a number
-
+
35428874485032 = 233271731133387829
BaseRepresentation
bin10000000111000111011010…
…11110100111110100101000
311122102222010011211001222200
420003203231132213310220
514120431313332010112
6203203444504220200
710314436352206440
oct1003435536476450
9148388104731880
1035428874485032
111031a335021986
123b8242a46a660
13169cc0bc91542
148a6aa3a7d120
154168bdce6cdc
hex2038ed7a7d28

35428874485032 has 192 divisors, whose sum is σ = 119856968524800. Its totient is φ = 9219766671360.

The previous prime is 35428874485027. The next prime is 35428874485061. The reversal of 35428874485032 is 23058447882453.

It is a happy number.

35428874485032 is a `hidden beast` number, since 3 + 5 + 4 + 2 + 8 + 87 + 4 + 48 + 503 + 2 = 666.

35428874485032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66428307 + ... + 66959522.

It is an arithmetic number, because the mean of its divisors is an integer number (624255044400).

Almost surely, 235428874485032 is an apocalyptic number.

It is an amenable number.

35428874485032 is an abundant number, since it is smaller than the sum of its proper divisors (84428094039768).

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

35428874485032 is a wasteful number, since it uses less digits than its factorization.

35428874485032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133387896 (or 133387889 counting only the distinct ones).

The product of its (nonzero) digits is 206438400, while the sum is 63.

The spelling of 35428874485032 in words is "thirty-five trillion, four hundred twenty-eight billion, eight hundred seventy-four million, four hundred eighty-five thousand, thirty-two".