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13640533650 = 2345211093037
BaseRepresentation
bin11001011010000101…
…00000011010010010
31022012122001220110000
430231002200122102
5210413434034100
610133311550430
7662011423452
oct145502403222
938178056400
1013640533650
11586a7a8907
12278822b416
131394cbccb3
14935863d62
1554c7c9900
hex32d0a0692

13640533650 has 120 divisors (see below), whose sum is σ = 37947141540. Its totient is φ = 3632999040.

The previous prime is 13640533649. The next prime is 13640533651. The reversal of 13640533650 is 5633504631.

13640533650 is a `hidden beast` number, since 1 + 3 + 64 + 0 + 533 + 65 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13640533649) and next prime (13640533651).

It can be written as a sum of positive squares in 6 ways, for example, as 3207749769 + 10432783881 = 56637^2 + 102141^2 .

It is not an unprimeable number, because it can be changed into a prime (13640533651) 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 59 ways as a sum of consecutive naturals, for example, 4489932 + ... + 4492968.

Almost surely, 213640533650 is an apocalyptic number.

13640533650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13640533650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18973570770).

13640533650 is an abundant number, since it is smaller than the sum of its proper divisors (24306607890).

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

13640533650 is a wasteful number, since it uses less digits than its factorization.

13640533650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4170 (or 4156 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 13640533650 in words is "thirteen billion, six hundred forty million, five hundred thirty-three thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 270 405 450 675 810 1109 1350 2025 2218 3037 3327 4050 5545 6074 6654 9111 9981 11090 15185 16635 18222 19962 27333 27725 29943 30370 33270 45555 49905 54666 55450 59886 75925 81999 83175 89829 91110 99810 136665 149715 151850 163998 166350 179658 227775 245997 249525 273330 299430 409995 449145 455550 491994 499050 683325 748575 819990 898290 1229985 1366650 1497150 2049975 2245725 2459970 3368033 4099950 4491450 6149925 6736066 10104099 12299850 16840165 20208198 30312297 33680330 50520495 60624594 84200825 90936891 101040990 151561485 168401650 181873782 252602475 272810673 303122970 454684455 505204950 545621346 757807425 909368910 1364053365 1515614850 2273422275 2728106730 4546844550 6820266825 13640533650