Search a number
-
+
429389020125 = 32531353553961
BaseRepresentation
bin1100011111110011001…
…01000111101111011101
31112001022212012021112200
412033321211013233131
524013342042121000
6525131504522113
743010442310302
oct6177145075735
91461285167480
10429389020125
111561149a918a
126b275620339
1331650261c90
1416ad54070a9
15b281a86500
hex63f9947bdd

429389020125 has 96 divisors (see below), whose sum is σ = 849316811616. Its totient is φ = 207402624000.

The previous prime is 429389020111. The next prime is 429389020127. The reversal of 429389020125 is 521020983924.

429389020125 is a `hidden beast` number, since 42 + 9 + 389 + 0 + 201 + 25 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 253248484644 + 176140535481 = 503238^2 + 419691^2 .

It is not a de Polignac number, because 429389020125 - 214 = 429389003741 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429389020127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 498145 + ... + 1052105.

It is an arithmetic number, because the mean of its divisors is an integer number (8847050121).

Almost surely, 2429389020125 is an apocalyptic number.

429389020125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

429389020125 is a deficient number, since it is larger than the sum of its proper divisors (419927791491).

429389020125 is a wasteful number, since it uses less digits than its factorization.

429389020125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554048 (or 554035 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 429389020125 in words is "four hundred twenty-nine billion, three hundred eighty-nine million, twenty thousand, one hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 53 65 75 117 125 159 195 225 265 325 375 477 585 689 795 975 1125 1325 1625 2067 2385 2925 3445 3975 4875 6201 6625 10335 11925 14625 17225 19875 31005 51675 59625 86125 155025 258375 553961 775125 1661883 2769805 4985649 7201493 8309415 13849025 21604479 24928245 29359933 36007465 41547075 64813437 69245125 88079799 108022395 124641225 146799665 180037325 207735375 264239397 324067185 381679129 440398995 540111975 623206125 733998325 900186625 1145037387 1321196985 1620335925 1908395645 2201994975 2700559875 3435112161 3669991625 5725186935 6605984925 8101679625 9541978225 11009974875 17175560805 28625934675 33029924625 47709891125 85877804025 143129673375 429389020125