Search a number
-
+
12494400975 = 325273237039
BaseRepresentation
bin10111010001011100…
…10110110111001111
31012020202102022222200
423220232112313033
5201042031312400
65423450212543
7621423441000
oct135056266717
935222368880
1012494400975
115331844421
122508424153
131241709294
148675571a7
154d1d7eb00
hex2e8b96dcf

12494400975 has 144 divisors (see below), whose sum is σ = 27236352000. Its totient is φ = 5462614080.

The previous prime is 12494400973. The next prime is 12494400979. The reversal of 12494400975 is 57900449421.

It is not a de Polignac number, because 12494400975 - 21 = 12494400973 is a prime.

It is a super-2 number, since 2×124944009752 (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12494400975.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12494400973) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1771506 + ... + 1778544.

Almost surely, 212494400975 is an apocalyptic number.

12494400975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12494400975 is an abundant number, since it is smaller than the sum of its proper divisors (14741951025).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12494400975 is a wasteful number, since it uses less digits than its factorization.

12494400975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7099 (or 7077 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 12494400975 in words is "twelve billion, four hundred ninety-four million, four hundred thousand, nine hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 23 25 35 45 49 63 69 75 105 115 147 161 175 207 225 245 315 343 345 441 483 525 575 735 805 1029 1035 1127 1225 1449 1575 1715 1725 2205 2415 3087 3381 3675 4025 5145 5175 5635 7039 7245 7889 8575 10143 11025 12075 15435 16905 21117 23667 25725 28175 35195 36225 39445 49273 50715 63351 71001 77175 84525 105585 118335 147819 161897 175975 197225 246365 253575 316755 344911 355005 443457 485691 527925 591675 739095 809485 1034733 1133279 1231825 1457073 1583775 1724555 1775025 2217285 2414377 2428455 3104199 3399837 3695475 4047425 5173665 5666395 7243131 7285365 7932953 8622775 10199511 11086425 12071885 12142275 15520995 16999185 21729393 23798859 25868325 28331975 36215655 36426825 39664765 50997555 55530671 60359425 71396577 77604975 84995925 108646965 118994295 166592013 181078275 198323825 254987775 277653355 356982885 499776039 543234825 594971475 832960065 1388266775 1784914425 2498880195 4164800325 12494400975