Search a number
-
+
34251737136 = 24329149316481
BaseRepresentation
bin11111111001100100…
…000000100000110000
310021102001200112020220
4133321210000200300
51030121421042021
623422433333040
72321534650641
oct377144004060
9107361615226
1034251737136
1113587238081
12677aa07180
1332cb1b6aa6
14192cdab6c8
15d57027cc6
hex7f9900830

34251737136 has 80 divisors (see below), whose sum is σ = 91601681760. Its totient is φ = 11015495680.

The previous prime is 34251737063. The next prime is 34251737141. The reversal of 34251737136 is 63173715243.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2070016 + ... + 2086496.

It is an arithmetic number, because the mean of its divisors is an integer number (1145021022).

Almost surely, 234251737136 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 34251737136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45800840880).

34251737136 is an abundant number, since it is smaller than the sum of its proper divisors (57349944624).

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

34251737136 is a wasteful number, since it uses less digits than its factorization.

34251737136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18014 (or 18008 counting only the distinct ones).

The product of its digits is 317520, while the sum is 42.

The spelling of 34251737136 in words is "thirty-four billion, two hundred fifty-one million, seven hundred thirty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 1493 2986 4479 5972 8958 11944 16481 17916 23888 32962 35832 43297 49443 65924 71664 86594 98886 129891 131848 173188 197772 259782 263696 346376 395544 477949 519564 692752 791088 955898 1039128 1433847 1911796 2078256 2867694 3823592 5735388 7647184 11470776 22941552 24606133 49212266 73818399 98424532 147636798 196849064 295273596 393698128 590547192 713577857 1181094384 1427155714 2140733571 2854311428 4281467142 5708622856 8562934284 11417245712 17125868568 34251737136