Search a number
-
+
1096498341120 = 28357138935257
BaseRepresentation
bin11111111010011000110…
…01001110010100000000
310212211020212002001210010
433331030121032110000
5120431112033403440
62155420244504520
7142135152055350
oct17751431162400
93784225061703
101096498341120
11393027800936
121586130ab140
137c5264aa880
143b0dc3d6b60
151d7c8367580
hexff4c64e500

1096498341120 has 576 divisors, whose sum is σ = 4358633448960. Its totient is φ = 228743184384.

The previous prime is 1096498341083. The next prime is 1096498341143. The reversal of 1096498341120 is 211438946901.

It is a happy number.

It is a super-2 number, since 2×10964983411202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1096498341120.

It is a congruent number.

It is an unprimeable number.

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, 31082532 + ... + 31117788.

It is an arithmetic number, because the mean of its divisors is an integer number (7567071960).

Almost surely, 21096498341120 is an apocalyptic number.

1096498341120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1096498341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2179316724480).

1096498341120 is an abundant number, since it is smaller than the sum of its proper divisors (3262135107840).

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

1096498341120 is a wasteful number, since it uses less digits than its factorization.

1096498341120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35390 (or 35376 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The spelling of 1096498341120 in words is "one trillion, ninety-six billion, four hundred ninety-eight million, three hundred forty-one thousand, one hundred twenty".