Search a number
-
+
380757467925 = 325273197117673
BaseRepresentation
bin1011000101001101110…
…10011110001100010101
31100101210122100110101200
411202212322132030111
522214242402433200
6450530105543113
736336345035262
oct5424672361425
91311718313350
10380757467925
1113752973422a
1261962aa4a99
1329b9cb743a3
1414600734269
159d87402800
hex58a6e9e315

380757467925 has 72 divisors (see below), whose sum is σ = 694836257544. Its totient is φ = 199270471680.

The previous prime is 380757467863. The next prime is 380757467929. The reversal of 380757467925 is 529764757083.

380757467925 is a `hidden beast` number, since 3 + 80 + 7 + 5 + 7 + 467 + 92 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 103785776964 + 276971690961 = 322158^2 + 526281^2 .

It is not a de Polignac number, because 380757467925 - 29 = 380757467413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380757467929) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3176889 + ... + 3294561.

It is an arithmetic number, because the mean of its divisors is an integer number (9650503577).

Almost surely, 2380757467925 is an apocalyptic number.

It is an amenable number.

380757467925 is a deficient number, since it is larger than the sum of its proper divisors (314078789619).

380757467925 is a wasteful number, since it uses less digits than its factorization.

380757467925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117959 (or 117951 counting only the distinct ones).

The product of its (nonzero) digits is 88905600, while the sum is 63.

The spelling of 380757467925 in words is "three hundred eighty billion, seven hundred fifty-seven million, four hundred sixty-seven thousand, nine hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 73 75 197 219 225 365 591 657 985 1095 1773 1825 2955 3285 4925 5475 8865 14381 14775 16425 43143 44325 71905 117673 129429 215715 353019 359525 588365 647145 1059057 1078575 1765095 2941825 3235725 5295285 8590129 8825475 23181581 25770387 26476425 42950645 69544743 77311161 115907905 128851935 208634229 214753225 347723715 386555805 579539525 644259675 1043171145 1692255413 1738618575 1932779025 5076766239 5215855725 8461277065 15230298717 25383831195 42306385325 76151493585 126919155975 380757467925