Search a number
-
+
1098648153 = 321923319011
BaseRepresentation
bin100000101111100…
…0000101001011001
32211120022002221100
41001133000221121
54222223220103
6301003502013
736140232561
oct10137005131
92746262840
101098648153
11514181689
12267b27909
131467c9585
14a5ca9da1
15666ba5a3
hex417c0a59

1098648153 has 48 divisors (see below), whose sum is σ = 1799516160. Its totient is φ = 642232800.

The previous prime is 1098648149. The next prime is 1098648179. The reversal of 1098648153 is 3518468901.

It is not a de Polignac number, because 1098648153 - 22 = 1098648149 is a prime.

It is a super-2 number, since 2×10986481532 = 2414055528180622818, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1098648099 and 1098648108.

It is not an unprimeable number, because it can be changed into a prime (1098648053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117418 + ... + 126428.

It is an arithmetic number, because the mean of its divisors is an integer number (37489920).

Almost surely, 21098648153 is an apocalyptic number.

It is an amenable number.

1098648153 is a deficient number, since it is larger than the sum of its proper divisors (700868007).

1098648153 is a wasteful number, since it uses less digits than its factorization.

1098648153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9090 (or 9087 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 1098648153 is about 33145.8617779052. The cubic root of 1098648153 is about 1031.8570679324.

The spelling of 1098648153 in words is "one billion, ninety-eight million, six hundred forty-eight thousand, one hundred fifty-three".

Divisors: 1 3 9 19 23 31 57 69 93 171 207 279 437 589 713 1311 1767 2139 3933 5301 6417 9011 13547 27033 40641 81099 121923 171209 207253 279341 513627 621759 838023 1540881 1865277 2514069 3937807 5307479 6424843 11813421 15922437 19274529 35440263 47767311 57823587 122072017 366216051 1098648153