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38382353730 = 23257130346757
BaseRepresentation
bin100011101111110001…
…000011110101000010
310200001221011120222200
4203233301003311002
51112101340304410
625344351014030
72526102423630
oct435761036502
9120057146880
1038382353730
11153069244a6
12753220a316
133808bab816
141c01802350
15ee999e3c0
hex8efc43d42

38382353730 has 96 divisors (see below), whose sum is σ = 114140392704. Its totient is φ = 8766188928.

The previous prime is 38382353719. The next prime is 38382353753. The reversal of 38382353730 is 3735328383.

38382353730 is a `hidden beast` number, since 3 + 8 + 3 + 82 + 3 + 537 + 30 = 666.

38382353730 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 797512 + ... + 844268.

It is an arithmetic number, because the mean of its divisors is an integer number (1188962424).

Almost surely, 238382353730 is an apocalyptic number.

38382353730 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38382353730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57070196352).

38382353730 is an abundant number, since it is smaller than the sum of its proper divisors (75758038974).

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

38382353730 is a wasteful number, since it uses less digits than its factorization.

38382353730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48080 (or 48077 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 38382353730 in words is "thirty-eight billion, three hundred eighty-two million, three hundred fifty-three thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 1303 2606 3909 6515 7818 9121 11727 13030 18242 19545 23454 27363 39090 45605 46757 54726 58635 82089 91210 93514 117270 136815 140271 164178 233785 273630 280542 327299 410445 420813 467570 654598 701355 820890 841626 981897 1402710 1636495 1963794 2104065 2945691 3272990 4208130 4909485 5891382 9818970 14728455 29456910 60924371 121848742 182773113 304621855 365546226 426470597 548319339 609243710 852941194 913865565 1096638678 1279411791 1827731130 2132352985 2558823582 2741596695 3838235373 4264705970 5483193390 6397058955 7676470746 12794117910 19191176865 38382353730