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6144492192 = 2531031095701
BaseRepresentation
bin1011011100011110…
…11000001010100000
3120212012221112200220
411232033120022200
5100040442222232
62453413443040
7305160215256
oct55617301240
916765845626
106144492192
112673450a23
121235940480
1376bcb99c7
144240a25d6
1525e67a42c
hex16e3d82a0

6144492192 has 96 divisors (see below), whose sum is σ = 16438181760. Its totient is φ = 2009318400.

The previous prime is 6144492169. The next prime is 6144492199. The reversal of 6144492192 is 2912944416.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (6144492199) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1074942 + ... + 1080642.

It is an arithmetic number, because the mean of its divisors is an integer number (171231060).

Almost surely, 26144492192 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 6144492192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8219090880).

6144492192 is an abundant number, since it is smaller than the sum of its proper divisors (10293689568).

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

6144492192 is a wasteful number, since it uses less digits than its factorization.

6144492192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5926 (or 5918 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 6144492192 is about 78386.8113396635. The cubic root of 6144492192 is about 1831.5916946954.

The spelling of 6144492192 in words is "six billion, one hundred forty-four million, four hundred ninety-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 103 109 206 218 309 327 412 436 618 654 824 872 1236 1308 1648 1744 2472 2616 3296 3488 4944 5232 5701 9888 10464 11227 11402 17103 22454 22804 33681 34206 44908 45608 67362 68412 89816 91216 134724 136824 179632 182432 269448 273648 359264 538896 547296 587203 621409 1077792 1174406 1242818 1761609 1864227 2348812 2485636 3523218 3728454 4697624 4971272 7046436 7456908 9395248 9942544 14092872 14913816 18790496 19885088 28185744 29827632 56371488 59655264 64005127 128010254 192015381 256020508 384030762 512041016 768061524 1024082032 1536123048 2048164064 3072246096 6144492192