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13002535040 = 275111846951
BaseRepresentation
bin11000001110000001…
…01111000010000000
31020120011120012212212
430013000233002000
5203112122110130
65550121241252
7640133503265
oct140700570200
936504505785
1013002535040
115572657030
12262a633228
1312c2a7b821
148b4c2926c
155117a2e95
hex30702f080

13002535040 has 64 divisors (see below), whose sum is σ = 33910038720. Its totient is φ = 4728192000.

The previous prime is 13002535019. The next prime is 13002535043. The reversal of 13002535040 is 4053520031.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 13002534997 and 13002535015.

It is not an unprimeable number, because it can be changed into a prime (13002535043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 916436 + ... + 930515.

It is an arithmetic number, because the mean of its divisors is an integer number (529844355).

Almost surely, 213002535040 is an apocalyptic number.

13002535040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13002535040 is an abundant number, since it is smaller than the sum of its proper divisors (20907503680).

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

13002535040 is a wasteful number, since it uses less digits than its factorization.

13002535040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846981 (or 1846969 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The spelling of 13002535040 in words is "thirteen billion, two million, five hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 1846951 3693902 7387804 9234755 14775608 18469510 20316461 29551216 36939020 40632922 59102432 73878040 81265844 101582305 118204864 147756080 162531688 203164610 236409728 295512160 325063376 406329220 591024320 650126752 812658440 1182048640 1300253504 1625316880 2600507008 3250633760 6501267520 13002535040