Search a number
-
+
6143485152 = 253724612833
BaseRepresentation
bin1011011100010111…
…00010010011100000
3120212011001101022010
411232023202103200
5100040213011102
62453340112520
7305145522300
oct55613422340
916764041263
106143485152
112672923362
121235535740
1376ba2651c
14423cbd600
1525e52bd6c
hex16e2e24e0

6143485152 has 144 divisors (see below), whose sum is σ = 18806900112. Its totient is φ = 1750855680.

The previous prime is 6143485133. The next prime is 6143485157. The reversal of 6143485152 is 2515843416.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 6143485152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6143485157) 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, 2167128 + ... + 2169960.

It is an arithmetic number, because the mean of its divisors is an integer number (130603473).

Almost surely, 26143485152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6143485152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9403450056).

6143485152 is an abundant number, since it is smaller than the sum of its proper divisors (12663414960).

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

6143485152 is a wasteful number, since it uses less digits than its factorization.

6143485152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3321 (or 3306 counting only the distinct ones).

The product of its digits is 115200, while the sum is 39.

The square root of 6143485152 is about 78380.3875468857. The cubic root of 6143485152 is about 1831.4916274689.

The spelling of 6143485152 in words is "six billion, one hundred forty-three million, four hundred eighty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 461 588 672 784 922 1176 1383 1568 1844 2352 2766 2833 3227 3688 4704 5532 5666 6454 7376 8499 9681 11064 11332 12908 14752 16998 19362 19831 22128 22589 22664 25816 33996 38724 39662 44256 45178 45328 51632 59493 67767 67992 77448 79324 90356 90656 103264 118986 135534 135984 138817 154896 158648 180712 237972 271068 271968 277634 309792 317296 361424 416451 475944 542136 555268 634592 722848 832902 951888 1084272 1110536 1306013 1665804 1903776 2168544 2221072 2612026 3331608 3918039 4442144 5224052 6663216 7836078 9142091 10448104 13326432 15672156 18284182 20896208 27426273 31344312 36568364 41792416 54852546 62688624 63994637 73136728 109705092 125377248 127989274 146273456 191983911 219410184 255978548 292546912 383967822 438820368 511957096 767935644 877640736 1023914192 1535871288 2047828384 3071742576 6143485152