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38028789162 = 23272137941983
BaseRepresentation
bin100011011010101100…
…010100010110101010
310122011021212122120200
4203122230110112222
51110340332223122
625245320533030
72514250242300
oct433254242652
9118137778520
1038028789162
1115145295181
127453921176
133780878010
141baa888270
15ec890e5ac
hex8dab145aa

38028789162 has 144 divisors (see below), whose sum is σ = 104530083840. Its totient is φ = 9902378304.

The previous prime is 38028789151. The next prime is 38028789167. The reversal of 38028789162 is 26198782083.

It is a happy number.

38028789162 is a `hidden beast` number, since 380 + 28 + 7 + 89 + 162 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 38028789099 and 38028789108.

It is not an unprimeable number, because it can be changed into a prime (38028789167) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 884823 + ... + 926805.

It is an arithmetic number, because the mean of its divisors is an integer number (725903360).

Almost surely, 238028789162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38028789162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52265041920).

38028789162 is an abundant number, since it is smaller than the sum of its proper divisors (66501294678).

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

38028789162 is a wasteful number, since it uses less digits than its factorization.

38028789162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42097 (or 42087 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 38028789162 in words is "thirty-eight billion, twenty-eight million, seven hundred eighty-nine thousand, one hundred sixty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 79 91 98 117 126 147 158 182 234 237 273 294 441 474 546 553 637 711 819 882 1027 1106 1274 1422 1638 1659 1911 2054 3081 3318 3822 3871 4977 5733 6162 7189 7742 9243 9954 11466 11613 14378 18486 21567 23226 34839 41983 43134 50323 64701 69678 83966 100646 125949 129402 150969 251898 293881 301938 377847 452907 545779 587762 755694 881643 905814 1091558 1637337 1763286 2057167 2644929 3274674 3316657 3820453 4114334 4912011 5289858 6171501 6633314 7640906 9824022 9949971 11461359 12343002 18514503 19899942 22922718 23216599 26743171 29849913 34384077 37029006 43116541 46433198 53486342 59699826 68768154 69649797 80229513 86233082 129349623 139299594 160459026 162516193 208949391 240688539 258699246 301815787 325032386 388048869 417898782 481377078 487548579 603631574 776097738 905447361 975097158 1462645737 1810894722 2112710509 2716342083 2925291474 4225421018 5432684166 6338131527 12676263054 19014394581 38028789162