Search a number
-
+
4978550313882 = 235311109329789
BaseRepresentation
bin100100001110010100010…
…1110010001001110011010
3122121221111201202011200000
41020130220232101032122
51123032032340021012
614331040415153430
71022455055303115
oct110345056211632
918557451664600
104978550313882
11164a433952942
12684a62515876
132a16242625c2
14132d6ab3757c
1589784598ddc
hex48728b9139a

4978550313882 has 96 divisors (see below), whose sum is σ = 11548651645440. Its totient is φ = 1605785290560.

The previous prime is 4978550313829. The next prime is 4978550313973. The reversal of 4978550313882 is 2883130558794.

4978550313882 is a `hidden beast` number, since 4 + 9 + 78 + 550 + 3 + 1 + 3 + 8 + 8 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167112244 + ... + 167142032.

It is an arithmetic number, because the mean of its divisors is an integer number (120298454640).

Almost surely, 24978550313882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4978550313882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5774325822720).

4978550313882 is an abundant number, since it is smaller than the sum of its proper divisors (6570101331558).

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

4978550313882 is a wasteful number, since it uses less digits than its factorization.

4978550313882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40930 (or 40918 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 4978550313882 in words is "four trillion, nine hundred seventy-eight billion, five hundred fifty million, three hundred thirteen thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 243 279 486 558 837 1674 2511 5022 7533 11093 15066 22186 29789 33279 59578 66558 89367 99837 178734 199674 268101 299511 343883 536202 599022 687766 804303 898533 923459 1031649 1608606 1797066 1846918 2063298 2412909 2695599 2770377 3094947 4825818 5391198 5540754 6189894 7238727 8311131 9284841 14477454 16622262 18569682 24933393 27854523 49866786 55709046 74800179 83563569 149600358 167127138 224400537 330449377 448801074 660898754 991348131 1982696262 2974044393 5948088786 8922133179 10243930687 17844266358 20487861374 26766399537 30731792061 53532799074 61463584122 80299198611 92195376183 160598397222 184390752366 276586128549 553172257098 829758385647 1659516771294 2489275156941 4978550313882