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2380195441 = 13738928181
BaseRepresentation
bin1000110111011110…
…1110011001110001
320010212202110022201
42031313232121301
514333312223231
61032103503201
7112661220211
oct21567563161
96125673281
102380195441
111011616078
12565157b01
132bc173490
14188186241
15dde63161
hex8ddee671

2380195441 has 16 divisors (see below), whose sum is σ = 2627689680. Its totient is φ = 2142581760.

The previous prime is 2380195429. The next prime is 2380195463. The reversal of 2380195441 is 1445910832.

It can be written as a sum of positive squares in 8 ways, for example, as 16777216 + 2363418225 = 4096^2 + 48615^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2380195441 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2380195441.

It is not an unprimeable number, because it can be changed into a prime (2380195481) 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 15 ways as a sum of consecutive naturals, for example, 70371 + ... + 98551.

It is an arithmetic number, because the mean of its divisors is an integer number (164230605).

Almost surely, 22380195441 is an apocalyptic number.

It is an amenable number.

2380195441 is a deficient number, since it is larger than the sum of its proper divisors (247494239).

2380195441 is a wasteful number, since it uses less digits than its factorization.

2380195441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28356.

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 2380195441 is about 48787.2467044411. The cubic root of 2380195441 is about 1335.1729946437.

The spelling of 2380195441 in words is "two billion, three hundred eighty million, one hundred ninety-five thousand, four hundred forty-one".

Divisors: 1 13 73 89 949 1157 6497 28181 84461 366353 2057213 2508109 26743769 32605417 183091957 2380195441