Search a number
-
+
154793325401 = 11213412400157
BaseRepresentation
bin1001000000101001100…
…1101011001101011001
3112210112210221200011222
42100022121223031121
510014004042403101
6155035554101425
714116631361611
oct2201231531531
9483483850158
10154793325401
115a713884500
1225bbbb7a875
131179b657990
1476c6213a41
15405e80e01b
hex240a66b359

154793325401 has 24 divisors (see below), whose sum is σ = 187701956232. Its totient is φ = 126728236800.

The previous prime is 154793325391. The next prime is 154793325443. The reversal of 154793325401 is 104523397451.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 69889600 + 154723435801 = 8360^2 + 393349^2 .

It is a de Polignac number, because none of the positive numbers 2k-154793325401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (154793325481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1135586 + ... + 1264571.

It is an arithmetic number, because the mean of its divisors is an integer number (7820914843).

Almost surely, 2154793325401 is an apocalyptic number.

154793325401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

154793325401 is a deficient number, since it is larger than the sum of its proper divisors (32908630831).

154793325401 is a wasteful number, since it uses less digits than its factorization.

154793325401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400233 (or 2400222 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 44.

The spelling of 154793325401 in words is "one hundred fifty-four billion, seven hundred ninety-three million, three hundred twenty-five thousand, four hundred one".

Divisors: 1 11 13 41 121 143 451 533 1573 4961 5863 64493 2400157 26401727 31202041 98406437 290418997 343222451 1082470807 1279283681 3775446961 11907178877 14072120491 154793325401