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38198942544 = 24372102115907
BaseRepresentation
bin100011100100110101…
…011001101101010000
310122121011001100010210
4203210311121231100
51111212412130134
625314235524120
72521414440300
oct434465315520
9118534040123
1038198942544
1115222341a04
1274a08b9640
1337a9bb20a9
141bc52db600
15ed88202e9
hex8e4d59b50

38198942544 has 120 divisors (see below), whose sum is σ = 114911374368. Its totient is φ = 10902608640.

The previous prime is 38198942539. The next prime is 38198942567. The reversal of 38198942544 is 44524989183.

It is a super-2 number, since 2×381989425442 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2393439 + ... + 2409345.

Almost surely, 238198942544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38198942544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57455687184).

38198942544 is an abundant number, since it is smaller than the sum of its proper divisors (76712431824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38198942544 is a wasteful number, since it uses less digits than its factorization.

38198942544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16953 (or 16940 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 57.

The spelling of 38198942544 in words is "thirty-eight billion, one hundred ninety-eight million, nine hundred forty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1021 1176 2042 2352 3063 4084 6126 7147 8168 12252 14294 15907 16336 21441 24504 28588 31814 42882 47721 49008 50029 57176 63628 85764 95442 100058 111349 114352 127256 150087 171528 190884 200116 222698 254512 300174 334047 343056 381768 400232 445396 600348 668094 763536 779443 800464 890792 1200696 1336188 1558886 1781584 2338329 2401392 2672376 3117772 4676658 5344752 6235544 9353316 12471088 16241047 18706632 32482094 37413264 48723141 64964188 97446282 113687329 129928376 194892564 227374658 259856752 341061987 389785128 454749316 682123974 779570256 795811303 909498632 1364247948 1591622606 1818997264 2387433909 2728495896 3183245212 4774867818 5456991792 6366490424 9549735636 12732980848 19099471272 38198942544