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38422253072 = 2471634195023
BaseRepresentation
bin100011110010001001…
…010000111000010000
310200011201020200121002
4203302021100320100
51112142044044242
625352334121132
72530065522350
oct436211207020
9120151220532
1038422253072
11153273a6465
1275436501a8
13381423b5b8
141c06c2ab60
15eed231432
hex8f2250e10

38422253072 has 80 divisors (see below), whose sum is σ = 85821173760. Its totient is φ = 16323348096.

The previous prime is 38422253041. The next prime is 38422253081. The reversal of 38422253072 is 27035222483.

It is a happy number.

It is a super-2 number, since 2×384222530722 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7646753 + ... + 7651775.

It is an arithmetic number, because the mean of its divisors is an integer number (1072764672).

Almost surely, 238422253072 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 38422253072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42910586880).

38422253072 is an abundant number, since it is smaller than the sum of its proper divisors (47398920688).

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

38422253072 is a wasteful number, since it uses less digits than its factorization.

38422253072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5620 (or 5614 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 38.

The spelling of 38422253072 in words is "thirty-eight billion, four hundred twenty-two million, two hundred fifty-three thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 163 326 419 652 838 1141 1304 1676 2282 2608 2933 3352 4564 5023 5866 6704 9128 10046 11732 18256 20092 23464 35161 40184 46928 68297 70322 80368 136594 140644 273188 281288 478079 546376 562576 818749 956158 1092752 1637498 1912316 2104637 3274996 3824632 4209274 5731243 6549992 7649264 8418548 11462486 13099984 14732459 16837096 22924972 29464918 33674192 45849944 58929836 91699888 117859672 235719344 343055831 686111662 1372223324 2401390817 2744446648 4802781634 5488893296 9605563268 19211126536 38422253072