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13455250640 = 2451329446129
BaseRepresentation
bin11001000011111111…
…01101010011010000
31021201201102112221022
430201333231103100
5210024021010030
610103052415012
7654301512656
oct144177552320
937651375838
1013455250640
115785157a57
122736177468
1313657b9590
14918dd2dd6
1553b3cade5
hex321fed4d0

13455250640 has 80 divisors (see below), whose sum is σ = 34851675600. Its totient is φ = 4796768256.

The previous prime is 13455250607. The next prime is 13455250673. The reversal of 13455250640 is 4605255431.

It is an interprime number because it is at equal distance from previous prime (13455250607) and next prime (13455250673).

It can be written as a sum of positive squares in 8 ways, for example, as 86341264 + 13368909376 = 9292^2 + 115624^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 13455250640.

It is a congruent number.

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, 192905 + ... + 253224.

It is an arithmetic number, because the mean of its divisors is an integer number (435645945).

Almost surely, 213455250640 is an apocalyptic number.

13455250640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13455250640 is an abundant number, since it is smaller than the sum of its proper divisors (21396424960).

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

13455250640 is a wasteful number, since it uses less digits than its factorization.

13455250640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446184 (or 446178 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 13455250640 in words is "thirteen billion, four hundred fifty-five million, two hundred fifty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 40 52 58 65 80 104 116 130 145 208 232 260 290 377 464 520 580 754 1040 1160 1508 1885 2320 3016 3770 6032 7540 15080 30160 446129 892258 1784516 2230645 3569032 4461290 5799677 7138064 8922580 11599354 12937741 17845160 23198708 25875482 28998385 35690320 46397416 51750964 57996770 64688705 92794832 103501928 115993540 129377410 168190633 207003856 231987080 258754820 336381266 463974160 517509640 672762532 840953165 1035019280 1345525064 1681906330 2691050128 3363812660 6727625320 13455250640