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38784138375 = 353131839941
BaseRepresentation
bin100100000111101101…
…101111110010000111
310201002221012100220110
4210013231233302013
51113412214412000
625452302404103
72542051510503
oct440755576207
9121087170813
1038784138375
11154a26a9224
127624890633
1338711c6508
141c3cd0d303
15101edb6850
hex907b6fc87

38784138375 has 64 divisors (see below), whose sum is σ = 65176151040. Its totient is φ = 20480720000.

The previous prime is 38784138361. The next prime is 38784138377. The reversal of 38784138375 is 57383148783.

It is not a de Polignac number, because 38784138375 - 26 = 38784138311 is a prime.

It is a super-2 number, since 2×387841383752 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38784138377) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41215405 + ... + 41216345.

It is an arithmetic number, because the mean of its divisors is an integer number (1018377360).

Almost surely, 238784138375 is an apocalyptic number.

38784138375 is a deficient number, since it is larger than the sum of its proper divisors (26392012665).

38784138375 is a wasteful number, since it uses less digits than its factorization.

38784138375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929 (or 1919 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 57.

The spelling of 38784138375 in words is "thirty-eight billion, seven hundred eighty-four million, one hundred thirty-eight thousand, three hundred seventy-five".

Divisors: 1 3 5 15 25 75 125 131 375 393 655 839 941 1965 2517 2823 3275 4195 4705 9825 12585 14115 16375 20975 23525 49125 62925 70575 104875 109909 117625 123271 314625 329727 352875 369813 549545 616355 789499 1648635 1849065 2368497 2747725 3081775 3947495 8243175 9245325 11842485 13738625 15408875 19737475 41215875 46226625 59212425 98687375 103424369 296062125 310273107 517121845 1551365535 2585609225 7756827675 12928046125 38784138375