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38405037375 = 325334137811
BaseRepresentation
bin100011110001000111…
…100101110100111111
310200010111212001002200
4203301013211310333
51112123142144000
625350521122543
72526466300665
oct436107456477
9120114761080
1038405037375
1115318708011
127539929453
1338107c15b3
141c04828c35
15eeb980500
hex8f11e5d3f

38405037375 has 24 divisors (see below), whose sum is σ = 69231482736. Its totient is φ = 20482686000.

The previous prime is 38405037373. The next prime is 38405037379. The reversal of 38405037375 is 57373050483.

38405037375 is a `hidden beast` number, since 3 + 8 + 4 + 0 + 503 + 73 + 75 = 666.

It is not a de Polignac number, because 38405037375 - 21 = 38405037373 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 38405037375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38405037373) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17067781 + ... + 17070030.

It is an arithmetic number, because the mean of its divisors is an integer number (2884645114).

Almost surely, 238405037375 is an apocalyptic number.

38405037375 is a deficient number, since it is larger than the sum of its proper divisors (30826445361).

38405037375 is a wasteful number, since it uses less digits than its factorization.

38405037375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34137832 (or 34137819 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 38405037375 in words is "thirty-eight billion, four hundred five million, thirty-seven thousand, three hundred seventy-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 1125 34137811 102413433 170689055 307240299 512067165 853445275 1536201495 2560335825 4267226375 7681007475 12801679125 38405037375