Search a number
-
+
56135034342 = 2331951532823
BaseRepresentation
bin110100010001111010…
…001010010111100110
312100220010222012121000
4310101322022113212
51404431032044332
641442120334130
74025035630152
oct642172122746
9170803865530
1056135034342
1121896844172
12aa67614346
1353a7ac786a
142a07450062
1516d82a2b7c
hexd11e8a5e6

56135034342 has 32 divisors (see below), whose sum is σ = 124808693760. Its totient is φ = 18702052200.

The previous prime is 56135034301. The next prime is 56135034343. The reversal of 56135034342 is 24343053165.

56135034342 is a `hidden beast` number, since 5 + 613 + 5 + 0 + 3 + 4 + 34 + 2 = 666.

56135034342 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-3 number, since 3×561350343423 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 56135034297 and 56135034306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56135034343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161058 + ... + 371765.

It is an arithmetic number, because the mean of its divisors is an integer number (3900271680).

Almost surely, 256135034342 is an apocalyptic number.

56135034342 is an abundant number, since it is smaller than the sum of its proper divisors (68673659418).

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

56135034342 is a wasteful number, since it uses less digits than its factorization.

56135034342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534785 (or 534779 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 56135034342 in words is "fifty-six billion, one hundred thirty-five million, thirty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 1951 3902 5853 11706 17559 35118 52677 105354 532823 1065646 1598469 3196938 4795407 9590814 14386221 28772442 1039537673 2079075346 3118613019 6237226038 9355839057 18711678114 28067517171 56135034342