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48354690609 = 345324612
BaseRepresentation
bin101101000010001010…
…100000011000110001
311121210220212210110000
4231002022200120301
51243012300044414
634114104500213
73331163042241
oct550212403061
9147726783400
1048354690609
1119563a64825
129455a7a669
134737c31884
1424aa003b21
1513d01e5b09
hexb422a0631

48354690609 has 45 divisors (see below), whose sum is σ = 73782209809. Its totient is φ = 31559617440.

The previous prime is 48354690583. The next prime is 48354690697. The reversal of 48354690609 is 90609645384.

The square root of 48354690609 is 219897.

It is a perfect power (a square), and thus also a powerful number.

48354690609 is a `hidden beast` number, since 4 + 8 + 3 + 546 + 90 + 6 + 0 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 98903025 + 48255787584 = 9945^2 + 219672^2 .

It is not a de Polignac number, because 48354690609 - 217 = 48354559537 is a prime.

It is a super-2 number, since 2×483546906092 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48354620609) 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 44 ways as a sum of consecutive naturals, for example, 104890639 + ... + 104891099.

Almost surely, 248354690609 is an apocalyptic number.

48354690609 is the 219897-th square number.

48354690609 is the 109949-th centered octagonal number.

It is an amenable number.

48354690609 is a deficient number, since it is larger than the sum of its proper divisors (25427519200).

48354690609 is an frugal number, since it uses more digits than its factorization.

48354690609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 48354690609 in words is "forty-eight billion, three hundred fifty-four million, six hundred ninety thousand, six hundred nine".

Divisors: 1 3 9 27 53 81 159 461 477 1383 1431 2809 4149 4293 8427 12447 24433 25281 37341 73299 75843 212521 219897 227529 637563 659691 1294949 1912689 1979073 3884847 5738067 11263613 11654541 17214201 33790839 34963623 101372517 104890869 304117551 596971489 912352653 1790914467 5372743401 16118230203 48354690609