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38211355152 = 24334114914479
BaseRepresentation
bin100011100101100100…
…110000001000010000
310122122000101222001000
4203211210300020100
51111224101331102
625315401542000
72521625105535
oct434544601020
9118560358030
1038211355152
111522934a763
1274a4aa4900
1337ac639b29
141bc6c0cd8c
15ed997301c
hex8e5930210

38211355152 has 160 divisors (see below), whose sum is σ = 113117760000. Its totient is φ = 12342205440.

The previous prime is 38211355151. The next prime is 38211355207. The reversal of 38211355152 is 25155311283.

38211355152 is a `hidden beast` number, since 3 + 8 + 2 + 1 + 135 + 515 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (38211355151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2631849 + ... + 2646327.

It is an arithmetic number, because the mean of its divisors is an integer number (706986000).

Almost surely, 238211355152 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 38211355152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56558880000).

38211355152 is an abundant number, since it is smaller than the sum of its proper divisors (74906404848).

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

38211355152 is a wasteful number, since it uses less digits than its factorization.

38211355152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14686 (or 14674 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The spelling of 38211355152 in words is "thirty-eight billion, two hundred eleven million, three hundred fifty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 82 108 123 144 149 164 216 246 298 328 369 432 447 492 596 656 738 894 984 1107 1192 1341 1476 1788 1968 2214 2384 2682 2952 3576 4023 4428 5364 5904 6109 7152 8046 8856 10728 12218 14479 16092 17712 18327 21456 24436 28958 32184 36654 43437 48872 54981 57916 64368 73308 86874 97744 109962 115832 130311 146616 164943 173748 219924 231664 260622 293232 329886 347496 390933 439848 521244 593639 659772 694992 781866 879696 1042488 1187278 1319544 1563732 1780917 2084976 2157371 2374556 2639088 3127464 3561834 4314742 4749112 5342751 6254928 6472113 7123668 8629484 9498224 10685502 12944226 14247336 16028253 17258968 19416339 21371004 25888452 28494672 32056506 34517936 38832678 42742008 51776904 58249017 64113012 77665356 85484016 88452211 103553808 116498034 128226024 155330712 176904422 232996068 256452048 265356633 310661424 353808844 465992136 530713266 707617688 796069899 931984272 1061426532 1415235376 1592139798 2122853064 2388209697 3184279596 4245706128 4776419394 6368559192 9552838788 12737118384 19105677576 38211355152