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2484491261328 = 2433171572154791
BaseRepresentation
bin100100001001110111001…
…110000001010110010000
322210111220110122000021000
4210021313032001112100
5311201214230330303
65141205354102000
7344333003164026
oct44116716012620
98714813560230
102484491261328
1187873760138a
1234161711a900
131503956415ab
14883700a0716
1544962308da3
hex24277381590

2484491261328 has 160 divisors (see below), whose sum is σ = 7599003275520. Its totient is φ = 774483240960.

The previous prime is 2484491261321. The next prime is 2484491261339. The reversal of 2484491261328 is 8231621944842.

2484491261328 is a `hidden beast` number, since 2 + 4 + 8 + 4 + 4 + 9 + 12 + 613 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2484491261321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75613 + ... + 2230403.

It is an arithmetic number, because the mean of its divisors is an integer number (47493770472).

Almost surely, 22484491261328 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 2484491261328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3799501637760).

2484491261328 is an abundant number, since it is smaller than the sum of its proper divisors (5114512014192).

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

2484491261328 is a wasteful number, since it uses less digits than its factorization.

2484491261328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154982 (or 2154970 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 2484491261328 in words is "two trillion, four hundred eighty-four billion, four hundred ninety-one million, two hundred sixty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 157 204 216 272 306 314 408 432 459 471 612 628 816 918 942 1224 1256 1413 1836 1884 2448 2512 2669 2826 3672 3768 4239 5338 5652 7344 7536 8007 8478 10676 11304 16014 16956 21352 22608 24021 32028 33912 42704 48042 64056 67824 72063 96084 128112 144126 192168 288252 384336 576504 1153008 2154791 4309582 6464373 8619164 12928746 17238328 19393119 25857492 34476656 36631447 38786238 51714984 58179357 73262894 77572476 103429968 109894341 116358714 146525788 155144952 219788682 232717428 293051576 310289904 329683023 338302187 439577364 465434856 586103152 659366046 676604374 879154728 930869712 989049069 1014906561 1318732092 1353208748 1758309456 1978098138 2029813122 2637464184 2706417496 3044719683 3956196276 4059626244 5274928368 5412834992 5751137179 6089439366 7912392552 8119252488 9134159049 11502274358 12178878732 15824785104 16238504976 17253411537 18268318098 23004548716 24357757464 34506823074 36536636196 46009097432 48715514928 51760234611 69013646148 73073272392 92018194864 103520469222 138027292296 146146544784 155280703833 207040938444 276054584592 310561407666 414081876888 621122815332 828163753776 1242245630664 2484491261328