Search a number
-
+
11432955625 = 5472132472
BaseRepresentation
bin10101010010111010…
…10000111011101001
31002111210010022200221
422221131100323221
5141403314040000
65130251530041
7553214343100
oct125135207351
932453108627
1011432955625
114937672863
122270a59921
131102837300
147a65b3037
1546dab261a
hex2a9750ee9

11432955625 has 135 divisors (see below), whose sum is σ = 18386901027. Its totient is φ = 7082712000.

The previous prime is 11432955623. The next prime is 11432955629. The reversal of 11432955625 is 52655923411.

The square root of 11432955625 is 106925.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 11292675289 + 140280336 = 106267^2 + 11844^2 .

It is not a de Polignac number, because 11432955625 - 21 = 11432955623 is a prime.

It is a Duffinian number.

Its product of digits (324000) is a multiple of the sum of its prime divisors (72).

It is not an unprimeable number, because it can be changed into a prime (11432955623) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 243254352 + ... + 243254398.

Almost surely, 211432955625 is an apocalyptic number.

11432955625 is the 106925-th square number.

11432955625 is the 53463-rd centered octagonal number.

It is an amenable number.

11432955625 is a deficient number, since it is larger than the sum of its proper divisors (6953945402).

11432955625 is an frugal number, since it uses more digits than its factorization.

11432955625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 72 counting only the distinct ones).

The product of its digits is 324000, while the sum is 43.

The spelling of 11432955625 in words is "eleven billion, four hundred thirty-two million, nine hundred fifty-five thousand, six hundred twenty-five".

Divisors: 1 5 7 13 25 35 47 49 65 91 125 169 175 235 245 325 329 455 611 625 637 845 875 1175 1183 1225 1625 1645 2209 2275 2303 3055 3185 4225 4277 4375 5875 5915 6125 7943 8125 8225 8281 11045 11375 11515 15275 15463 15925 21125 21385 28717 29375 29575 29939 30625 39715 41125 41405 55225 55601 56875 57575 76375 77315 79625 105625 106925 108241 143585 147875 149695 198575 201019 205625 207025 276125 278005 287875 373321 381875 386575 389207 398125 534625 541205 717925 739375 748475 992875 1005095 1035125 1380625 1390025 1407133 1439375 1866605 1932875 1946035 2613247 2673125 2706025 3589625 3742375 4964375 5025475 5175625 6950125 7035665 9333025 9664375 9730175 13066235 13530125 17948125 18292729 18711875 25127375 34750625 35178325 46665125 48650875 65331175 67650625 91463645 125636875 175891625 233325625 243254375 326655875 457318225 879458125 1633279375 2286591125 11432955625