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13452830400 = 263522802673
BaseRepresentation
bin11001000011101100…
…11110011011000000
31021201112212120222210
430201312132123000
5210022411033100
610102524502120
7654242112612
oct144166363300
937645776883
1013452830400
115783854659
1227353aa940
13136514ca99
14918962db2
1553b09dc50
hex321d9e6c0

13452830400 has 84 divisors (see below), whose sum is σ = 44136510152. Its totient is φ = 3587420160.

The previous prime is 13452830399. The next prime is 13452830411. The reversal of 13452830400 is 403825431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1396537 + ... + 1406136.

Almost surely, 213452830400 is an apocalyptic number.

13452830400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13452830400 is an abundant number, since it is smaller than the sum of its proper divisors (30683679752).

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

13452830400 is a wasteful number, since it uses less digits than its factorization.

13452830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2802698 (or 2802683 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 13452830400 in words is "thirteen billion, four hundred fifty-two million, eight hundred thirty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 150 160 192 200 240 300 320 400 480 600 800 960 1200 1600 2400 4800 2802673 5605346 8408019 11210692 14013365 16816038 22421384 28026730 33632076 42040095 44842768 56053460 67264152 70066825 84080190 89685536 112106920 134528304 140133650 168160380 179371072 210200475 224213840 269056608 280267300 336320760 420400950 448427680 538113216 560534600 672641520 840801900 896855360 1121069200 1345283040 1681603800 2242138400 2690566080 3363207600 4484276800 6726415200 13452830400