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13149783200 = 2552291274463
BaseRepresentation
bin11000011111100100…
…11100010010100000
31020221102122012101102
430033302130102200
5203412321030300
610012501253532
7643602212231
oct141762342240
936842565342
1013149783200
115638789824
12266ba042a8
131317426008
148ca5d9088
1551e68c0d5
hex30fc9c4a0

13149783200 has 144 divisors (see below), whose sum is σ = 33477857280. Its totient is φ = 5037419520.

The previous prime is 13149783193. The next prime is 13149783221. The reversal of 13149783200 is 238794131.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2944169 + ... + 2948631.

It is an arithmetic number, because the mean of its divisors is an integer number (232485120).

Almost surely, 213149783200 is an apocalyptic number.

13149783200 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 13149783200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16738928640).

13149783200 is an abundant number, since it is smaller than the sum of its proper divisors (20328074080).

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

13149783200 is a wasteful number, since it uses less digits than its factorization.

13149783200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4639 (or 4626 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The spelling of 13149783200 in words is "thirteen billion, one hundred forty-nine million, seven hundred eighty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 127 145 160 200 232 254 290 400 464 508 580 635 725 800 928 1016 1160 1270 1450 2032 2320 2540 2900 3175 3683 4064 4463 4640 5080 5800 6350 7366 8926 10160 11600 12700 14732 17852 18415 20320 22315 23200 25400 29464 35704 36830 44630 50800 58928 71408 73660 89260 92075 101600 111575 117856 129427 142816 147320 178520 184150 223150 258854 294640 357040 368300 446300 517708 566801 589280 647135 714080 736600 892600 1035416 1133602 1294270 1473200 1785200 2070832 2267204 2588540 2834005 2946400 3235675 3570400 4141664 4534408 5177080 5668010 6471350 9068816 10354160 11336020 12942700 14170025 16437229 18137632 20708320 22672040 25885400 28340050 32874458 45344080 51770800 56680100 65748916 82186145 90688160 103541600 113360200 131497832 164372290 226720400 262995664 328744580 410930725 453440800 525991328 657489160 821861450 1314978320 1643722900 2629956640 3287445800 6574891600 13149783200