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54863945280400 = 2452179220692
BaseRepresentation
bin11000111100110000000011…
…11110000010101110010000
321012020221102200022112002011
430132120001332002232100
524142342324442433100
6312404052025032304
714361534465225214
oct1436300176025620
9235227380275064
1054863945280400
11165327398a1023
1261a1000325694
13247c8563c82a9
14d79601710944
1565220cbc6bba
hex31e601f82b90

54863945280400 has 135 divisors (see below), whose sum is σ = 132615210842611. Its totient is φ = 21812429520640.

The previous prime is 54863945280379. The next prime is 54863945280401. The reversal of 54863945280400 is 408254936845.

It is a happy number.

The square root of 54863945280400 is 7407020.

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 13559981382544 + 41303963897856 = 3682388^2 + 6426816^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54863945280401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26517130566 + ... + 26517132634.

Almost surely, 254863945280400 is an apocalyptic number.

54863945280400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

54863945280400 is the 7407020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54863945280400

54863945280400 is an abundant number, since it is smaller than the sum of its proper divisors (77751265562211).

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

54863945280400 is an frugal number, since it uses more digits than its factorization.

54863945280400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4514 (or 2255 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 58.

The spelling of 54863945280400 in words is "fifty-four trillion, eight hundred sixty-three billion, nine hundred forty-five million, two hundred eighty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 179 200 358 400 716 895 1432 1790 2069 2864 3580 4138 4475 7160 8276 8950 10345 14320 16552 17900 20690 32041 33104 35800 41380 51725 64082 71600 82760 103450 128164 160205 165520 206900 256328 320410 370351 413800 512656 640820 740702 801025 827600 1281640 1481404 1602050 1851755 2563280 2962808 3204100 3703510 4280761 5925616 6408200 7407020 8561522 9258775 12816400 14814040 17123044 18517550 21403805 29628080 34246088 37035100 42807610 66292829 68492176 74070200 85615220 107019025 132585658 148140400 171230440 214038050 265171316 331464145 342460880 428076100 530342632 662928290 766256219 856152200 1060685264 1325856580 1532512438 1657320725 1712304400 2651713160 3065024876 3314641450 3831281095 5303426320 6130049752 6629282900 7662562190 12260099504 13258565800 15325124380 19156405475 26517131600 30650248760 38312810950 61300497520 76625621900 137159863201 153251243800 274319726402 306502487600 548639452804 685799316005 1097278905608 1371598632010 2194557811216 2743197264020 3428996580025 5486394528040 6857993160050 10972789056080 13715986320100 27431972640200 54863945280400