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54650229984 = 2533721290869
BaseRepresentation
bin110010111001011010…
…000101010011100000
312020001200001022221000
4302321122011103200
51343410424324414
641034520032000
73643166201400
oct627132052340
9166050038830
1054650229984
11211a46a2729
12a712302600
1351cc2c5cbc
142906184800
15164cc5ab09
hexcb96854e0

54650229984 has 144 divisors (see below), whose sum is σ = 185420566800. Its totient is φ = 15614339328.

The previous prime is 54650229961. The next prime is 54650229989. The reversal of 54650229984 is 48992205645.

54650229984 is a `hidden beast` number, since 5 + 46 + 502 + 2 + 9 + 98 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 54650229984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54650229989) 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, 603099 + ... + 687770.

It is an arithmetic number, because the mean of its divisors is an integer number (1287642825).

Almost surely, 254650229984 is an apocalyptic number.

54650229984 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

54650229984 is an abundant number, since it is smaller than the sum of its proper divisors (130770336816).

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

54650229984 is a wasteful number, since it uses less digits than its factorization.

54650229984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290902 (or 1290881 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 54650229984 in words is "fifty-four billion, six hundred fifty million, two hundred twenty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 504 588 672 756 784 864 882 1008 1176 1323 1512 1568 1764 2016 2352 2646 3024 3528 4704 5292 6048 7056 10584 14112 21168 42336 1290869 2581738 3872607 5163476 7745214 9036083 10326952 11617821 15490428 18072166 20653904 23235642 27108249 30980856 34853463 36144332 41307808 46471284 54216498 61961712 63252581 69706926 72288664 81324747 92942568 108432996 123923424 126505162 139413852 144577328 162649494 185885136 189757743 216865992 243974241 253010324 278827704 289154656 325298988 371770272 379515486 433731984 487948482 506020648 557655408 569273229 650597976 759030972 867463968 975896964 1012041296 1115310816 1138546458 1301195952 1518061944 1707819687 1951793928 2024082592 2277092916 2602391904 3036123888 3415639374 3903587856 4554185832 6072247776 6831278748 7807175712 9108371664 13662557496 18216743328 27325114992 54650229984