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38693938240 = 265398930313
BaseRepresentation
bin100100000010010101…
…101010010001000000
310200212122110201120201
4210002111222101000
51113221122010430
625435321214544
72536605022366
oct440225522100
9120778421521
1038693938240
11154567a0561
1275ba631454
133858604459
141c30d4d636
151016eea8ca
hex90256a440

38693938240 has 56 divisors (see below), whose sum is σ = 92166079320. Its totient is φ = 15473184768.

The previous prime is 38693938229. The next prime is 38693938253. The reversal of 38693938240 is 4283939683.

It can be written as a sum of positive squares in 4 ways, for example, as 10381164544 + 28312773696 = 101888^2 + 168264^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1261324 + ... + 1291636.

It is an arithmetic number, because the mean of its divisors is an integer number (1645822845).

Almost surely, 238693938240 is an apocalyptic number.

It is an amenable number.

38693938240 is an abundant number, since it is smaller than the sum of its proper divisors (53472141080).

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

38693938240 is a wasteful number, since it uses less digits than its factorization.

38693938240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34319 (or 34309 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 55.

The spelling of 38693938240 in words is "thirty-eight billion, six hundred ninety-three million, nine hundred thirty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 3989 7978 15956 19945 30313 31912 39890 60626 63824 79780 121252 127648 151565 159560 242504 255296 303130 319120 485008 606260 638240 970016 1212520 1276480 1940032 2425040 4850080 9700160 120918557 241837114 483674228 604592785 967348456 1209185570 1934696912 2418371140 3869393824 4836742280 7738787648 9673484560 19346969120 38693938240