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4956081984 = 26337409729
BaseRepresentation
bin1001001110110011…
…11100111101000000
3110210101202001101000
410213121330331000
540122224110414
62135442012000
7233550000420
oct44731747500
913711661330
104956081984
112113640827
12b63947000
1360ca228b9
1435030c480
151e017db09
hex12767cf40

4956081984 has 112 divisors (see below), whose sum is σ = 16651427200. Its totient is φ = 1416019968.

The previous prime is 4956081983. The next prime is 4956082007. The reversal of 4956081984 is 4891806594.

4956081984 is a `hidden beast` number, since 495 + 60 + 8 + 1 + 98 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4956081984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4956081983) 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 15 ways as a sum of consecutive naturals, for example, 192769 + ... + 216960.

Almost surely, 24956081984 is an apocalyptic number.

It is an amenable number.

4956081984 is an abundant number, since it is smaller than the sum of its proper divisors (11695345216).

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

4956081984 is a wasteful number, since it uses less digits than its factorization.

4956081984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409757 (or 409741 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 4956081984 is about 70399.4459069104. The cubic root of 4956081984 is about 1704.9546327113.

The spelling of 4956081984 in words is "four billion, nine hundred fifty-six million, eighty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 409729 819458 1229187 1638916 2458374 2868103 3277832 3687561 4916748 5736206 6555664 7375122 8604309 9833496 11062683 11472412 13111328 14750244 17208618 19666992 22125366 22944824 25812927 26222656 29500488 34417236 39333984 44250732 45889648 51625854 59000976 68834472 77438781 78667968 88501464 91779296 103251708 118001952 137668944 154877562 177002928 183558592 206503416 236003904 275337888 309755124 354005856 413006832 550675776 619510248 708011712 826013664 1239020496 1652027328 2478040992 4956081984