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11453246120 = 2351725765537
BaseRepresentation
bin10101010101010101…
…01010101010101000
31002120012022012000202
422222222222222220
5141424012333440
65132254451332
7553551662051
oct125252525250
932505265022
1011453246120
114948071368
122277803b48
131106abca14
147a9175728
1547076e615
hex2aaaaaaa8

11453246120 has 64 divisors (see below), whose sum is σ = 27392262480. Its totient is φ = 4294967296.

The previous prime is 11453246117. The next prime is 11453246153. The reversal of 11453246120 is 2164235411.

It can be written as a sum of positive squares in 8 ways, for example, as 11451996196 + 1249924 = 107014^2 + 1118^2 .

It is a nialpdrome in base 4.

It is an unprimeable number.

In principle, a polygon with 11453246120 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141992 + ... + 207528.

Almost surely, 211453246120 is an apocalyptic number.

11453246120 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 11453246120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13696131240).

11453246120 is an abundant number, since it is smaller than the sum of its proper divisors (15939016360).

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

11453246120 is a wasteful number, since it uses less digits than its factorization.

11453246120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65822 (or 65818 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The spelling of 11453246120 in words is "eleven billion, four hundred fifty-three million, two hundred forty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 257 340 514 680 1028 1285 2056 2570 4369 5140 8738 10280 17476 21845 34952 43690 65537 87380 131074 174760 262148 327685 524296 655370 1114129 1310740 2228258 2621480 4456516 5570645 8913032 11141290 16843009 22282580 33686018 44565160 67372036 84215045 134744072 168430090 286331153 336860180 572662306 673720360 1145324612 1431655765 2290649224 2863311530 5726623060 11453246120