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4978186543980 = 22325136763314569
BaseRepresentation
bin100100001110001001100…
…0010100110001101101100
3122121220120101020202011200
41020130103002212031230
51123030311223401410
614330540342245500
71022443050305346
oct110342302461554
918556511222150
104978186543980
11164a267583161
12684980726890
132a1596a97940
14132d346c4296
15897626903c0
hex487130a636c

4978186543980 has 144 divisors (see below), whose sum is σ = 16264532313120. Its totient is φ = 1225214678016.

The previous prime is 4978186543961. The next prime is 4978186544003. The reversal of 4978186543980 is 893456818794.

4978186543980 is a `hidden beast` number, since 4 + 9 + 7 + 8 + 186 + 5 + 439 + 8 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4978186543899 and 4978186543908.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15668136 + ... + 15982704.

Almost surely, 24978186543980 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 4978186543980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8132266156560).

4978186543980 is an abundant number, since it is smaller than the sum of its proper divisors (11286345769140).

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

4978186543980 is a wasteful number, since it uses less digits than its factorization.

4978186543980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321360 (or 321355 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 4978186543980 in words is "four trillion, nine hundred seventy-eight billion, one hundred eighty-six million, five hundred forty-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 6763 13526 20289 27052 33815 40578 60867 67630 81156 87919 101445 121734 135260 175838 202890 243468 263757 304335 314569 351676 405780 439595 527514 608670 629138 791271 879190 943707 1055028 1217340 1258276 1318785 1572845 1582542 1758380 1887414 2637570 2831121 3145690 3165084 3774828 3956355 4089397 4718535 5275140 5662242 6291380 7912710 8178794 9437070 11324484 12268191 14155605 15825420 16357588 18874140 20446985 24536382 28311210 36804573 40893970 49072764 56622420 61340955 73609146 81787940 122681910 147218292 184022865 245363820 368045730 736091460 2127430147 4254860294 6382290441 8509720588 10637150735 12764580882 19146871323 21274301470 25529161764 27656591911 31911452205 38293742646 42548602940 55313183822 63822904410 76587485292 82969775733 95734356615 110626367644 127645808820 138282959555 165939551466 191468713230 248909327199 276565919110 331879102932 382937426460 414848878665 497818654398 553131838220 829697757330 995637308796 1244546635995 1659395514660 2489093271990 4978186543980