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6144650640 = 2432519743321
BaseRepresentation
bin1011011100011111…
…11110110110010000
3120212020020121001100
411232033332312100
5100041012310030
62453421104400
7305161445232
oct55617766620
916766217040
106144650640
112673549a77
1212359b8100
1376c043b6b
14424104252
1525e6ac360
hex16e3fed90

6144650640 has 120 divisors (see below), whose sum is σ = 20741014008. Its totient is φ = 1630218240.

The previous prime is 6144650627. The next prime is 6144650641. The reversal of 6144650640 is 460564416.

6144650640 is a `hidden beast` number, since 6 + 1 + 4 + 4 + 6 + 5 + 0 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3541202064 + 2603448576 = 59508^2 + 51024^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6144650595 and 6144650604.

It is not an unprimeable number, because it can be changed into a prime (6144650641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120180 + ... + 163500.

Almost surely, 26144650640 is an apocalyptic number.

6144650640 is a gapful number since it is divisible by the number (60) 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 6144650640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10370507004).

6144650640 is an abundant number, since it is smaller than the sum of its proper divisors (14596363368).

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

6144650640 is a wasteful number, since it uses less digits than its factorization.

6144650640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43537 (or 43528 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 6144650640 is about 78387.8220133714. The cubic root of 6144650640 is about 1831.6074383098.

The spelling of 6144650640 in words is "six billion, one hundred forty-four million, six hundred fifty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 197 240 360 394 591 720 788 985 1182 1576 1773 1970 2364 2955 3152 3546 3940 4728 5910 7092 7880 8865 9456 11820 14184 15760 17730 23640 28368 35460 43321 47280 70920 86642 129963 141840 173284 216605 259926 346568 389889 433210 519852 649815 693136 779778 866420 1039704 1299630 1559556 1732840 1949445 2079408 2599260 3119112 3465680 3898890 5198520 6238224 7797780 8534237 10397040 15595560 17068474 25602711 31191120 34136948 42671185 51205422 68273896 76808133 85342370 102410844 128013555 136547792 153616266 170684740 204821688 256027110 307232532 341369480 384040665 409643376 512054220 614465064 682738960 768081330 1024108440 1228930128 1536162660 2048216880 3072325320 6144650640