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38034375148 = 22711263617761
BaseRepresentation
bin100011011011000001…
…101000000111101100
310122011200101110010001
4203123001220013230
51110343300001043
625250040354044
72514345566050
oct433301500754
9118150343101
1038034375148
111514845aaa0
127455775924
133781a82733
141bab4ddc60
15ec916474d
hex8db0681ec

38034375148 has 96 divisors (see below), whose sum is σ = 83544265728. Its totient is φ = 14718950400.

The previous prime is 38034375139. The next prime is 38034375227. The reversal of 38034375148 is 84157343083.

It is a happy number.

It is a super-2 number, since 2×380343751482 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38034375098 and 38034375107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49979088 + ... + 49979848.

It is an arithmetic number, because the mean of its divisors is an integer number (870252768).

Almost surely, 238034375148 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 38034375148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41772132864).

38034375148 is an abundant number, since it is smaller than the sum of its proper divisors (45509890580).

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

38034375148 is a wasteful number, since it uses less digits than its factorization.

38034375148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 38034375148 in words is "thirty-eight billion, thirty-four million, three hundred seventy-five thousand, one hundred forty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 263 308 526 617 761 1052 1234 1522 1841 2468 2893 3044 3682 4319 5327 5786 6787 7364 8371 8638 10654 11572 13574 16742 17276 20251 21308 27148 33484 40502 47509 58597 81004 95018 117194 162271 190036 200143 234388 324542 400286 469537 649084 800572 939074 1135897 1401001 1784981 1878148 2201573 2271794 2802002 3286759 3569962 4403146 4543588 5164907 5604004 6573518 7139924 8806292 10329814 12494867 13147036 15411011 20659628 24989734 30822022 36154349 49979468 61644044 72308698 123488231 144617396 246976462 493952924 864417617 1358370541 1728835234 2716741082 3457670468 5433482164 9508593787 19017187574 38034375148