Search a number
-
+
2601693426924 = 22331910933133511
BaseRepresentation
bin100101110111000001000…
…000110011010011101100
3100012201102111011220111000
4211313001000303103230
5320111232004130144
65311111303200300
7355652250150564
oct45670100632354
910181374156430
102601693426924
11913410128069
12360285a46090
1315b452ca9337
148dccb9c7da4
1547a21851769
hex25dc10334ec

2601693426924 has 192 divisors, whose sum is σ = 7169481088000. Its totient is φ = 813572398080.

The previous prime is 2601693426887. The next prime is 2601693426929. The reversal of 2601693426924 is 4296243961062.

2601693426924 is a `hidden beast` number, since 2 + 60 + 169 + 342 + 69 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2601693426929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 741010329 + ... + 741013839.

Almost surely, 22601693426924 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 2601693426924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3584740544000).

2601693426924 is an abundant number, since it is smaller than the sum of its proper divisors (4567787661076).

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

2601693426924 is a wasteful number, since it uses less digits than its factorization.

2601693426924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6965 (or 6957 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 2601693426924 in words is "two trillion, six hundred one billion, six hundred ninety-three million, four hundred twenty-six thousand, nine hundred twenty-four".