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38226642252 = 22323317162927
BaseRepresentation
bin100011100110011111…
…000100010101001100
310122200002011121222220
4203212133010111030
51111242010023002
625321105335340
72522202045411
oct434637042514
9118602147886
1038226642252
1115236a41127
1274aa037550
1337b2860056
141bc8c6c108
15edae927bc
hex8e67c454c

38226642252 has 96 divisors (see below), whose sum is σ = 97430667264. Its totient is φ = 11628724800.

The previous prime is 38226642239. The next prime is 38226642271. The reversal of 38226642252 is 25224662283.

It is a super-2 number, since 2×382266422522 (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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 576013 + ... + 638939.

It is an arithmetic number, because the mean of its divisors is an integer number (1014902784).

Almost surely, 238226642252 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 38226642252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48715333632).

38226642252 is an abundant number, since it is smaller than the sum of its proper divisors (59204025012).

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

38226642252 is a wasteful number, since it uses less digits than its factorization.

38226642252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63059 (or 63057 counting only the distinct ones).

The product of its digits is 552960, while the sum is 42.

The spelling of 38226642252 in words is "thirty-eight billion, two hundred twenty-six million, six hundred forty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 23 31 46 62 69 71 92 93 124 138 142 186 213 276 284 372 426 713 852 1426 1633 2139 2201 2852 3266 4278 4402 4899 6532 6603 8556 8804 9798 13206 19596 26412 50623 62927 101246 125854 151869 188781 202492 251708 303738 377562 607476 755124 1447321 1950737 2894642 3901474 4341963 4467817 5789284 5852211 7802948 8683926 8935634 11704422 13403451 17367852 17871268 23408844 26806902 44866951 53613804 89733902 102759791 134600853 138502327 179467804 205519582 269201706 277004654 308279373 411039164 415506981 538403412 554009308 616558746 831013962 1233117492 1662027924 3185553521 6371107042 9556660563 12742214084 19113321126 38226642252