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13436730640 = 2451723429563
BaseRepresentation
bin11001000001110010…
…00011110100010000
31021200102120122021101
430200321003310100
5210004300340030
610101151434144
7653655216544
oct144071036420
937612518241
1013436730640
115775758673
12272bb25954
131361a039b8
14916771a24
1553996d7ca
hex320e43d10

13436730640 has 80 divisors (see below), whose sum is σ = 34516326528. Its totient is φ = 4838586368.

The previous prime is 13436730611. The next prime is 13436730641. The reversal of 13436730640 is 4603763431.

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 13436730640.

It is not an unprimeable number, because it can be changed into a prime (13436730641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183502 + ... + 246061.

Almost surely, 213436730640 is an apocalyptic number.

13436730640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13436730640 is an abundant number, since it is smaller than the sum of its proper divisors (21079595888).

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

13436730640 is a wasteful number, since it uses less digits than its factorization.

13436730640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429616 (or 429610 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 37.

The spelling of 13436730640 in words is "thirteen billion, four hundred thirty-six million, seven hundred thirty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 23 34 40 46 68 80 85 92 115 136 170 184 230 272 340 368 391 460 680 782 920 1360 1564 1840 1955 3128 3910 6256 7820 15640 31280 429563 859126 1718252 2147815 3436504 4295630 6873008 7302571 8591260 9879949 14605142 17182520 19759898 29210284 34365040 36512855 39519796 49399745 58420568 73025710 79039592 98799490 116841136 146051420 158079184 167959133 197598980 292102840 335918266 395197960 584205680 671836532 790395920 839795665 1343673064 1679591330 2687346128 3359182660 6718365320 13436730640