Search a number
-
+
1046462138136 = 23362325913011
BaseRepresentation
bin11110011101001100000…
…00010000011100011000
310201001002202010121000000
433032212000100130120
5114121123301410021
62120423231213000
7135414210260502
oct17164600203430
93631082117000
101046462138136
11373890660a68
1214a98a077160
13778b10a367c
1438912d60d72
151c34a720b26
hexf3a6010718

1046462138136 has 224 divisors, whose sum is σ = 3071939281920. Its totient is φ = 333415051200.

The previous prime is 1046462138083. The next prime is 1046462138191. The reversal of 1046462138136 is 6318312646401.

1046462138136 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 4 + 621 + 3 + 8 + 13 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1046462138091 and 1046462138100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 347544871 + ... + 347547881.

Almost surely, 21046462138136 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 1046462138136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535969640960).

1046462138136 is an abundant number, since it is smaller than the sum of its proper divisors (2025477143784).

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

1046462138136 is a wasteful number, since it uses less digits than its factorization.

1046462138136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5649 (or 5630 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 1046462138136 in words is "one trillion, forty-six billion, four hundred sixty-two million, one hundred thirty-eight thousand, one hundred thirty-six".