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408750000381 = 372333724113
BaseRepresentation
bin1011111001010110110…
…01100000100011111101
31110002001111020110000000
411330223121200203331
523144110000003011
6511435511024513
741350130451132
oct5745331404375
91402044213000
10408750000381
111483937a0178
126727566b139
132c711379168
1415ad82dc589
15a974b91356
hex5f2b6608fd

408750000381 has 64 divisors (see below), whose sum is σ = 641609879040. Its totient is φ = 259867948032.

The previous prime is 408750000361. The next prime is 408750000397. The reversal of 408750000381 is 183000057804.

408750000381 is a `hidden beast` number, since 40 + 87 + 500 + 0 + 0 + 38 + 1 = 666.

It is not a de Polignac number, because 408750000381 - 25 = 408750000349 is a prime.

It is a super-3 number, since 3×4087500003813 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408750000341) 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, 16939381 + ... + 16963493.

It is an arithmetic number, because the mean of its divisors is an integer number (10025154360).

Almost surely, 2408750000381 is an apocalyptic number.

It is an amenable number.

408750000381 is a deficient number, since it is larger than the sum of its proper divisors (232859878659).

408750000381 is an equidigital number, since it uses as much as digits as its factorization.

408750000381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24494 (or 24476 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 408750000381 in words is "four hundred eight billion, seven hundred fifty million, three hundred eighty-one", and thus it is an aban number.

Divisors: 1 3 9 23 27 69 81 207 243 337 621 729 1011 1863 2187 3033 5589 7751 9099 16767 23253 24113 27297 50301 69759 72339 81891 209277 217017 245673 554599 627831 651051 737019 1663797 1883493 1953153 4991391 5650479 5859459 8126081 14974173 16951437 17578377 24378243 44922519 52735131 73134729 134767557 186899863 219404187 404302671 560699589 658212561 1212908013 1682098767 1974637683 5046296301 5923913049 15138888903 17771739147 45416666709 136250000127 408750000381