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13469923600 = 2452728292
BaseRepresentation
bin11001000101101111…
…01011100100010000
31021202202001000110021
430202313223210100
5210041300023400
610104335113224
7654540314200
oct144267534420
937682030407
1013469923600
115792469a71
12273b072814
1313688560c3
1491ad32400
1553c82871a
hex322deb910

13469923600 has 135 divisors (see below), whose sum is σ = 37690465167. Its totient is φ = 4612688640.

The previous prime is 13469923589. The next prime is 13469923601. The reversal of 13469923600 is 632996431.

The square root of 13469923600 is 116060.

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

It can be written as a sum of positive squares in 4 ways, for example, as 58430736 + 13411492864 = 7644^2 + 115808^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13469923601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16247986 + ... + 16248814.

Almost surely, 213469923600 is an apocalyptic number.

13469923600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13469923600 is the 116060-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13469923600

13469923600 is an abundant number, since it is smaller than the sum of its proper divisors (24220541567).

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

13469923600 is an frugal number, since it uses more digits than its factorization.

13469923600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 43.

The spelling of 13469923600 in words is "thirteen billion, four hundred sixty-nine million, nine hundred twenty-three thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 140 175 196 200 245 280 350 392 400 490 560 700 784 829 980 1225 1400 1658 1960 2450 2800 3316 3920 4145 4900 5803 6632 8290 9800 11606 13264 16580 19600 20725 23212 29015 33160 40621 41450 46424 58030 66320 81242 82900 92848 116060 145075 162484 165800 203105 232120 290150 324968 331600 406210 464240 580300 649936 687241 812420 1015525 1160600 1374482 1624840 2031050 2321200 2748964 3249680 3436205 4062100 4810687 5497928 6872410 8124200 9621374 10995856 13744820 16248400 17181025 19242748 24053435 27489640 33674809 34362050 38485496 48106870 54979280 67349618 68724100 76970992 96213740 120267175 134699236 137448200 168374045 192427480 240534350 269398472 274896400 336748090 384854960 481068700 538796944 673496180 841870225 962137400 1346992360 1683740450 1924274800 2693984720 3367480900 6734961800 13469923600