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38362814172 = 223267151105331
BaseRepresentation
bin100011101110100110…
…100001011011011100
310200000120101212202100
4203232212201123130
51112031340023142
625342412125100
72525444353164
oct435646413334
9120016355670
1038362814172
11152a6899101
127527766790
133804b29b57
141bdcd975a4
15ee7ddeb4c
hex8ee9a16dc

38362814172 has 72 divisors (see below), whose sum is σ = 99072751232. Its totient is φ = 12513204000.

The previous prime is 38362814141. The next prime is 38362814179. The reversal of 38362814172 is 27141826383.

38362814172 is a `hidden beast` number, since 3 + 8 + 3 + 628 + 1 + 4 + 17 + 2 = 666.

It is a super-2 number, since 2×383628141722 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38362814179) 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 23 ways as a sum of consecutive naturals, for example, 311547 + ... + 416877.

Almost surely, 238362814172 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 38362814172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49536375616).

38362814172 is an abundant number, since it is smaller than the sum of its proper divisors (60709937060).

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

38362814172 is a wasteful number, since it uses less digits than its factorization.

38362814172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105559 (or 105554 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 38362814172 in words is "thirty-eight billion, three hundred sixty-two million, eight hundred fourteen thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 151 201 268 302 402 453 603 604 804 906 1206 1359 1812 2412 2718 5436 10117 20234 30351 40468 60702 91053 105331 121404 182106 210662 315993 364212 421324 631986 947979 1263972 1895958 3791916 7057177 14114354 15904981 21171531 28228708 31809962 42343062 47714943 63514593 63619924 84686124 95429886 127029186 143144829 190859772 254058372 286289658 572579316 1065633727 2131267454 3196901181 4262534908 6393802362 9590703543 12787604724 19181407086 38362814172