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4146752136 = 2334115112789
BaseRepresentation
bin1111011100101010…
…0110101010001000
3101200222211211112110
43313022212222020
531443032032021
61523251142320
7204521545242
oct36712465210
911628754473
104146752136
11183880828a
129788a49a0
135111541b7
142b4a35092
151940b2476
hexf72a6a88

4146752136 has 64 divisors (see below), whose sum is σ = 10630569600. Its totient is φ = 1347161600.

The previous prime is 4146752131. The next prime is 4146752153. The reversal of 4146752136 is 6312576414.

It is a happy number.

4146752136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4146752094 and 4146752103.

It is not an unprimeable number, because it can be changed into a prime (4146752131) 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, 1485430 + ... + 1488218.

It is an arithmetic number, because the mean of its divisors is an integer number (166102650).

Almost surely, 24146752136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4146752136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5315284800).

4146752136 is an abundant number, since it is smaller than the sum of its proper divisors (6483817464).

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

4146752136 is a wasteful number, since it uses less digits than its factorization.

4146752136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4350 (or 4346 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 4146752136 is about 64395.2803860656. The cubic root of 4146752136 is about 1606.5812434472.

The spelling of 4146752136 in words is "four billion, one hundred forty-six million, seven hundred fifty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 984 1511 2789 3022 4533 5578 6044 8367 9066 11156 12088 16734 18132 22312 33468 36264 61951 66936 114349 123902 185853 228698 247804 343047 371706 457396 495608 686094 743412 914792 1372188 1486824 2744376 4214179 8428358 12642537 16856716 25285074 33713432 50570148 101140296 172781339 345562678 518344017 691125356 1036688034 1382250712 2073376068 4146752136