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38283853122 = 2341998312653
BaseRepresentation
bin100011101001111001…
…010011110101000010
310122211001211020120000
4203221321103311002
51111401131244442
625330511500430
72523465245064
oct435171236502
9118731736500
1038283853122
1115266267539
127505227716
1337c1671638
141bd26c1734
15ee0ee3d4c
hex8e9e53d42

38283853122 has 80 divisors (see below), whose sum is σ = 90398151360. Its totient is φ = 12076384608.

The previous prime is 38283853099. The next prime is 38283853123. The reversal of 38283853122 is 22135838283.

38283853122 is a `hidden beast` number, since 3 + 82 + 8 + 38 + 531 + 2 + 2 = 666.

38283853122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (38283853123) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3019348 + ... + 3032000.

It is an arithmetic number, because the mean of its divisors is an integer number (1129976892).

Almost surely, 238283853122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38283853122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45199075680).

38283853122 is an abundant number, since it is smaller than the sum of its proper divisors (52114298238).

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

38283853122 is a wasteful number, since it uses less digits than its factorization.

38283853122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13669 (or 13660 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 38283853122 in words is "thirty-eight billion, two hundred eighty-three million, eight hundred fifty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 342 513 983 1026 1539 1966 2949 3078 5898 8847 12653 17694 18677 25306 26541 37354 37959 53082 56031 75918 79623 112062 113877 159246 168093 227754 240407 336186 341631 480814 504279 683262 721221 1008558 1024893 1442442 1512837 2049786 2163663 3025674 4327326 6490989 12437899 12981978 19472967 24875798 37313697 38945934 74627394 111941091 223882182 236320081 335823273 472640162 671646546 708960243 1007469819 1417920486 2014939638 2126880729 4253761458 6380642187 12761284374 19141926561 38283853122