Search a number
-
+
54876244140200 = 23527219294716671
BaseRepresentation
bin11000111101000110111110…
…00010011110000010101000
321012022010011210210100000002
430132203133002132002220
524143043021444441300
6312413444252202132
714362451325632300
oct1436433702360250
9235263153710002
1054876244140200
111653798021846a
1261a3473169348
132480a6644b922
14d7a04acc6600
156526cc7cd5d5
hex31e8df09e0a8

54876244140200 has 144 divisors (see below), whose sum is σ = 156229307827200. Its totient is φ = 17824464201600.

The previous prime is 54876244140197. The next prime is 54876244140259. The reversal of 54876244140200 is 204144267845.

It is a super-2 number, since 2×548762441402002 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 147172136 + ... + 147544535.

It is an arithmetic number, because the mean of its divisors is an integer number (1084925748800).

Almost surely, 254876244140200 is an apocalyptic number.

54876244140200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54876244140200 is an abundant number, since it is smaller than the sum of its proper divisors (101353063687000).

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

54876244140200 is a wasteful number, since it uses less digits than its factorization.

54876244140200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294716720 (or 294716704 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 47.

The spelling of 54876244140200 in words is "fifty-four trillion, eight hundred seventy-six billion, two hundred forty-four million, one hundred forty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 19 20 25 28 35 38 40 49 50 56 70 76 95 98 100 133 140 152 175 190 196 200 245 266 280 350 380 392 475 490 532 665 700 760 931 950 980 1064 1225 1330 1400 1862 1900 1960 2450 2660 3325 3724 3800 4655 4900 5320 6650 7448 9310 9800 13300 18620 23275 26600 37240 46550 93100 186200 294716671 589433342 1178866684 1473583355 2063016697 2357733368 2947166710 4126033394 5599616749 5894333420 7367916775 8252066788 10315083485 11199233498 11788666840 14441116879 14735833550 16504133576 20630166970 22398466996 27998083745 28882233758 29471667100 39197317243 41260333940 44796933992 51575417425 55996167490 57764467516 58943334200 72205584395 78394634486 82520667880 103150834850 111992334980 115528935032 139990418725 144411168790 156789268972 195986586215 206301669700 223984669960 274381220701 279980837450 288822337580 313578537944 361027921975 391973172430 412603339400 548762441402 559961674900 577644675160 722055843950 783946344860 979932931075 1097524882804 1119923349800 1371906103505 1444111687900 1567892689720 1959865862150 2195049765608 2743812207010 2888223375800 3919731724300 5487624414020 6859530517525 7839463448600 10975248828040 13719061035050 27438122070100 54876244140200