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13453525120 = 27577573967
BaseRepresentation
bin11001000011110010…
…01000000010000000
31021201121011212222011
430201321020002000
5210023100300440
610102551422304
7654251035210
oct144171100200
937647155864
1013453525120
115784189602
122735684994
131365334069
14918aa4240
1553b1899ea
hex321e48080

13453525120 has 128 divisors (see below), whose sum is σ = 36814786560. Its totient is φ = 4605382656.

The previous prime is 13453525097. The next prime is 13453525153. The reversal of 13453525120 is 2152535431.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3389377 + ... + 3393343.

It is an arithmetic number, because the mean of its divisors is an integer number (287615520).

Almost surely, 213453525120 is an apocalyptic number.

13453525120 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 13453525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18407393280).

13453525120 is an abundant number, since it is smaller than the sum of its proper divisors (23361261440).

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

13453525120 is an equidigital number, since it uses as much as digits as its factorization.

13453525120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4750 (or 4738 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The spelling of 13453525120 in words is "thirteen billion, four hundred fifty-three million, five hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 757 896 1120 1514 2240 3028 3785 3967 4480 5299 6056 7570 7934 10598 12112 15140 15868 19835 21196 24224 26495 27769 30280 31736 39670 42392 48448 52990 55538 60560 63472 79340 84784 96896 105980 111076 121120 126944 138845 158680 169568 211960 222152 242240 253888 277690 317360 339136 423920 444304 484480 507776 555380 634720 678272 847840 888608 1110760 1269440 1695680 1777216 2221520 2538880 3003019 3391360 3554432 4443040 6006038 8886080 12012076 15015095 17772160 21021133 24024152 30030190 42042266 48048304 60060380 84084532 96096608 105105665 120120760 168169064 192193216 210211330 240241520 336338128 384386432 420422660 480483040 672676256 840845320 960966080 1345352512 1681690640 1921932160 2690705024 3363381280 6726762560 13453525120