Search a number
-
+
12535234511004 = 22331992813076761
BaseRepresentation
bin1011011001101001011000…
…1100110100000010011100
31122101100122001020102121000
42312122112030310002130
53120334130013323004
642354335055110300
72432432540206632
oct266322614640234
948340561212530
1012535234511004
113aa31880a7987
1214a54b4812390
136cc0b550c92a
143149cc515352
1516b10bea8c39
hexb669633409c

12535234511004 has 192 divisors, whose sum is σ = 32889935232000. Its totient is φ = 4128514790400.

The previous prime is 12535234510969. The next prime is 12535234511017. The reversal of 12535234511004 is 40011543253521.

12535234511004 is a `hidden beast` number, since 1 + 2 + 53 + 52 + 3 + 451 + 100 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12535234511004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1854046984 + ... + 1854053744.

It is an arithmetic number, because the mean of its divisors is an integer number (171301746000).

Almost surely, 212535234511004 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 12535234511004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16444967616000).

12535234511004 is an abundant number, since it is smaller than the sum of its proper divisors (20354700720996).

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

12535234511004 is a wasteful number, since it uses less digits than its factorization.

12535234511004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7561 (or 7553 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 12535234511004 its reverse (40011543253521), we get a palindrome (52546777764525).

The spelling of 12535234511004 in words is "twelve trillion, five hundred thirty-five billion, two hundred thirty-four million, five hundred eleven thousand, four".