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38161231801 = 72112432592
BaseRepresentation
bin100011100010100101…
…100010111110111001
310122111112002102201121
4203202211202332321
51111123233404201
625310411345241
72520446055400
oct434245427671
9118445072647
1038161231801
1115203025300
127490152221
1337a213a544
141bc02c2637
15ed53719a1
hex8e2962fb9

38161231801 has 81 divisors (see below), whose sum is σ = 50816299653. Its totient is φ = 28552209840.

The previous prime is 38161231789. The next prime is 38161231807. The reversal of 38161231801 is 10813216183.

It is a happy number.

The square root of 38161231801 is 195349.

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

It is not a de Polignac number, because 38161231801 - 27 = 38161231673 is a prime.

It is a super-2 number, since 2×381612318012 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38161231807) 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 80 ways as a sum of consecutive naturals, for example, 646800510 + ... + 646800568.

Almost surely, 238161231801 is an apocalyptic number.

38161231801 is the 195349-th square number.

38161231801 is the 97675-th centered octagonal number.

It is an amenable number.

38161231801 is a deficient number, since it is larger than the sum of its proper divisors (12655067852).

38161231801 is an equidigital number, since it uses as much as digits as its factorization.

38161231801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

Adding to 38161231801 its reverse (10813216183), we get a palindrome (48974447984).

It can be divided in two parts, 38161 and 231801, that added together give a palindrome (269962).

The spelling of 38161231801 in words is "thirty-eight billion, one hundred sixty-one million, two hundred thirty-one thousand, eight hundred one".

Divisors: 1 7 11 43 49 59 77 121 301 413 473 539 649 847 1849 2107 2537 2891 3311 3481 4543 5203 5929 7139 12943 17759 20339 23177 24367 27907 31801 36421 38291 49973 90601 109091 124313 142373 149683 170569 195349 223729 254947 268037 306977 349811 421201 763637 996611 1047781 1200001 1367443 1566103 1646513 1876259 2148839 2948407 5345459 6436369 7334467 8400007 10962721 11525591 13200011 15041873 18111643 20638849 45054583 58800049 70800059 80679137 92400077 126781501 315382081 495600413 646800539 778800649 887470507 3469202891 5451604543 38161231801