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55902986848900 = 2252179241772
BaseRepresentation
bin11001011010111111011011…
…01011000100101010000100
321022221021101021100010012201
430231133231223010222010
524311403304113131100
6314521251055524244
714526600061644142
oct1455375553045204
9238837337303181
1055902986848900
11168a3361763204
12632a459229684
132526824001949
14db3a0cd18592
1566e271c0536a
hex32d7edac4a84

55902986848900 has 81 divisors (see below), whose sum is σ = 122020186529199. Its totient is φ = 22230948360960.

The previous prime is 55902986848883. The next prime is 55902986848979. The reversal of 55902986848900 is 984868920955.

The square root of 55902986848900 is 7476830.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7088618702916 + 48814368145984 = 2662446^2 + 6986728^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13383523612 + ... + 13383527788.

Almost surely, 255902986848900 is an apocalyptic number.

55902986848900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

55902986848900 is the 7476830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55902986848900

55902986848900 is an abundant number, since it is smaller than the sum of its proper divisors (66117199680299).

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

55902986848900 is an frugal number, since it uses more digits than its factorization.

55902986848900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8726 (or 4363 counting only the distinct ones).

The product of its (nonzero) digits is 447897600, while the sum is 73.

The spelling of 55902986848900 in words is "fifty-five trillion, nine hundred two billion, nine hundred eighty-six million, eight hundred forty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 179 358 716 895 1790 3580 4177 4475 8354 8950 16708 17900 20885 32041 41770 64082 83540 104425 128164 160205 208850 320410 417700 640820 747683 801025 1495366 1602050 2990732 3204100 3738415 7476830 14953660 17447329 18692075 34894658 37384150 69789316 74768300 87236645 133835257 174473290 267670514 348946580 436183225 535341028 669176285 872366450 1338352570 1744732900 2676705140 3123071891 3345881425 6246143782 6691762850 12492287564 13383525700 15615359455 31230718910 62461437820 78076797275 156153594550 312307189100 559029868489 1118059736978 2236119473956 2795149342445 5590298684890 11180597369780 13975746712225 27951493424450 55902986848900