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38124124516 = 2223324192
BaseRepresentation
bin100011100000010111…
…111111100101100100
310122101221021012002201
4203200113333211210
51111034233441031
625303004144244
72516515466032
oct434027774544
9118357235081
1038124124516
1115194090025
12747b838084
13379754757a
141bb93c3552
15ed1e91d61
hex8e05ff964

38124124516 has 27 divisors (see below), whose sum is σ = 67165084441. Its totient is φ = 18934951904.

The previous prime is 38124124501. The next prime is 38124124531. The reversal of 38124124516 is 61542142183.

The square root of 38124124516 is 195254.

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

It is an interprime number because it is at equal distance from previous prime (38124124501) and next prime (38124124531).

It can be written as a sum of positive squares in only one way, i.e., 7742240100 + 30381884416 = 87990^2 + 174304^2 .

It is a super-2 number, since 2×381241245162 (a number of 22 digits) contains 22 as substring.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 90988155 + ... + 90988573.

Almost surely, 238124124516 is an apocalyptic number.

38124124516 is the 195254-th square number.

It is an amenable number.

38124124516 is a deficient number, since it is larger than the sum of its proper divisors (29040959925).

38124124516 is an frugal number, since it uses more digits than its factorization.

38124124516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 654 counting only the distinct ones).

The product of its digits is 46080, while the sum is 37.

Adding to 38124124516 its reverse (61542142183), we get a palindrome (99666266699).

The spelling of 38124124516 in words is "thirty-eight billion, one hundred twenty-four million, one hundred twenty-four thousand, five hundred sixteen".

Divisors: 1 2 4 233 419 466 838 932 1676 54289 97627 108578 175561 195254 217156 351122 390508 702244 22747091 40905713 45494182 81811426 90988364 163622852 9531031129 19062062258 38124124516