Search a number
-
+
13444957620 = 22325176476791
BaseRepresentation
bin11001000010110000…
…11100010110110100
31021201000001121120100
430201120130112310
5210013402120440
610102044034100
7654115153113
oct144130342664
937630047510
1013444957620
11577a367726
122732832930
131363624533
149178b3c7a
1553a546230
hex32161c5b4

13444957620 has 144 divisors (see below), whose sum is σ = 43255150848. Its totient is φ = 3368709120.

The previous prime is 13444957609. The next prime is 13444957627. The reversal of 13444957620 is 2675944431.

13444957620 is a `hidden beast` number, since 1 + 34 + 4 + 49 + 576 + 2 + 0 = 666.

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 (13444957627) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1976425 + ... + 1983215.

It is an arithmetic number, because the mean of its divisors is an integer number (300382992).

Almost surely, 213444957620 is an apocalyptic number.

13444957620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13444957620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21627575424).

13444957620 is an abundant number, since it is smaller than the sum of its proper divisors (29810193228).

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

13444957620 is a wasteful number, since it uses less digits than its factorization.

13444957620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7470 (or 7465 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 13444957620 in words is "thirteen billion, four hundred forty-four million, nine hundred fifty-seven thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 647 765 1020 1294 1530 1941 2588 3060 3235 3882 5823 6470 6791 7764 9705 10999 11646 12940 13582 19410 20373 21998 23292 27164 29115 32997 33955 38820 40746 43996 54995 58230 61119 65994 67910 81492 98991 101865 109990 115447 116460 122238 131988 135820 164985 197982 203730 219980 230894 244476 305595 329970 346341 395964 407460 461788 494955 577235 611190 659940 692682 989910 1039023 1154470 1222380 1385364 1731705 1979820 2078046 2308940 3463410 4156092 4393777 5195115 6926820 8787554 10390230 13181331 17575108 20780460 21968885 26362662 39543993 43937770 52725324 65906655 74694209 79087986 87875540 131813310 149388418 158175972 197719965 224082627 263626620 298776836 373471045 395439930 448165254 672247881 746942090 790879860 896330508 1120413135 1344495762 1493884180 2240826270 2688991524 3361239405 4481652540 6722478810 13444957620