Search a number
-
+
35612135442 = 23213198009927
BaseRepresentation
bin100001001010101001…
…100001000000010010
310101220212111220220100
4201022221201000102
51040413201313232
624205431353230
72400334104522
oct411251410022
9111825456810
1035612135442
11141151384a4
126a9a522816
133486cab0c0
141a1b931682
15dd6698c7c
hex84aa61012

35612135442 has 48 divisors (see below), whose sum is σ = 87468413760. Its totient is φ = 10380864096.

The previous prime is 35612135437. The next prime is 35612135473. The reversal of 35612135442 is 24453121653.

35612135442 is a `hidden beast` number, since 3 + 5 + 612 + 1 + 35 + 4 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 35612135397 and 35612135406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4000518 + ... + 4009409.

It is an arithmetic number, because the mean of its divisors is an integer number (1822258620).

Almost surely, 235612135442 is an apocalyptic number.

35612135442 is an abundant number, since it is smaller than the sum of its proper divisors (51856278318).

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

35612135442 is a wasteful number, since it uses less digits than its factorization.

35612135442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8009967 (or 8009964 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The spelling of 35612135442 in words is "thirty-five billion, six hundred twelve million, one hundred thirty-five thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 234 247 342 494 741 1482 2223 4446 8009927 16019854 24029781 48059562 72089343 104129051 144178686 152188613 208258102 304377226 312387153 456565839 624774306 913131678 937161459 1369697517 1874322918 1978451969 2739395034 3956903938 5935355907 11870711814 17806067721 35612135442