Search a number
-
+
145374793560 = 233251372947583
BaseRepresentation
bin1000011101100100000…
…0110100111101011000
3111220020102022200102100
42013121000310331120
54340211421343220
6150441222203400
713334344233243
oct2073100647530
9456212280370
10145374793560
1156720310097
1224211883560
131092a278009
1470713b225a
153baca0cd90
hex21d9034f58

145374793560 has 96 divisors (see below), whose sum is σ = 475916912640. Its totient is φ = 38483630592.

The previous prime is 145374793517. The next prime is 145374793561. The reversal of 145374793560 is 65397473541.

145374793560 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 7 + 4 + 79 + 3 + 560 = 666.

It is a super-2 number, since 2×1453747935602 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145374793497 and 145374793506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145374793561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1424472 + ... + 1523111.

It is an arithmetic number, because the mean of its divisors is an integer number (4957467840).

Almost surely, 2145374793560 is an apocalyptic number.

145374793560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145374793560 is an abundant number, since it is smaller than the sum of its proper divisors (330542119080).

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

145374793560 is a wasteful number, since it uses less digits than its factorization.

145374793560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2947737 (or 2947730 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 145374793560 in words is "one hundred forty-five billion, three hundred seventy-four million, seven hundred ninety-three thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 137 180 274 360 411 548 685 822 1096 1233 1370 1644 2055 2466 2740 3288 4110 4932 5480 6165 8220 9864 12330 16440 24660 49320 2947583 5895166 8842749 11790332 14737915 17685498 23580664 26528247 29475830 35370996 44213745 53056494 58951660 70741992 88427490 106112988 117903320 132641235 176854980 212225976 265282470 353709960 403818871 530564940 807637742 1061129880 1211456613 1615275484 2019094355 2422913226 3230550968 3634369839 4038188710 4845826452 6057283065 7268739678 8076377420 9691652904 12114566130 14537479356 16152754840 18171849195 24229132260 29074958712 36343698390 48458264520 72687396780 145374793560