Search a number
-
+
1032135334912 = 210112361241271
BaseRepresentation
bin11110000010100000000…
…11110101110000000000
310122200010021201120200101
433001100003311300000
5113402303121204122
62110053442132144
7134366163410053
oct17012003656000
93580107646611
101032135334912
113687a9541720
12148050051054
1376439b70b06
1437d542d8a9a
151bcaca87027
hexf0500f5c00

1032135334912 has 352 divisors, whose sum is σ = 2405948295168. Its totient is φ = 437944320000.

The previous prime is 1032135334871. The next prime is 1032135334943. The reversal of 1032135334912 is 2194335312301.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3808617337 + ... + 3808617607.

It is an arithmetic number, because the mean of its divisors is an integer number (6835080384).

Almost surely, 21032135334912 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 1032135334912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202974147584).

1032135334912 is an abundant number, since it is smaller than the sum of its proper divisors (1373812960256).

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

1032135334912 is a wasteful number, since it uses less digits than its factorization.

1032135334912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 37.

The spelling of 1032135334912 in words is "one trillion, thirty-two billion, one hundred thirty-five million, three hundred thirty-four thousand, nine hundred twelve".