Search a number
-
+
55919914085200 = 24521123552568321
BaseRepresentation
bin11001011011011110111101…
…00111010110101101010000
321022222220001221220211002111
430231233132213112231100
524312142441001211300
6314533130501155104
714531036413041244
oct1455573647265520
9238886057824074
1055919914085200
11168aa5587433a0
1263317a20bba94
1325282c0bc95b9
14db4777096424
1566e912d079ba
hex32dbde9d6b50

55919914085200 has 120 divisors (see below), whose sum is σ = 152933229343296. Its totient is φ = 19450404864000.

The previous prime is 55919914085129. The next prime is 55919914085201. The reversal of 55919914085200 is 258041991955.

It is a happy number.

It is a super-2 number, since 2×559199140852002 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55919914085201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276182961 + ... + 276385360.

Almost surely, 255919914085200 is an apocalyptic number.

55919914085200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55919914085200 is an abundant number, since it is smaller than the sum of its proper divisors (97013315258096).

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

55919914085200 is a wasteful number, since it uses less digits than its factorization.

55919914085200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552568373 (or 552568362 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 58.

The spelling of 55919914085200 in words is "fifty-five trillion, nine hundred nineteen billion, nine hundred fourteen million, eighty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 25 40 44 46 50 55 80 88 92 100 110 115 176 184 200 220 230 253 275 368 400 440 460 506 550 575 880 920 1012 1100 1150 1265 1840 2024 2200 2300 2530 4048 4400 4600 5060 6325 9200 10120 12650 20240 25300 50600 101200 552568321 1105136642 2210273284 2762841605 4420546568 5525683210 6078251531 8841093136 11051366420 12156503062 12709071383 13814208025 22102732840 24313006124 25418142766 27628416050 30391257655 44205465680 48626012248 50836285532 55256832100 60782515310 63545356915 97252024496 101672571064 110513664200 121565030620 127090713830 139799785213 151956288275 203345142128 221027328400 243130061240 254181427660 279599570426 303912576550 317726784575 486260122480 508362855320 559199140852 607825153100 635453569150 698998926065 1016725710640 1118398281704 1215650306200 1270907138300 1397997852130 2236796563408 2431300612400 2541814276600 2795995704260 3494994630325 5083628553200 5591991408520 6989989260650 11183982817040 13979978521300 27959957042600 55919914085200