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54131241888 = 25322361133967
BaseRepresentation
bin110010011010011110…
…010011001110100000
312011201111111000002200
4302122132103032200
51341330044220023
640511220213200
73624264651513
oct623236231640
9164644430080
1054131241888
1120a58747249
12a5a853a200
135148923259
142897288d7a
15161c3e1743
hexc9a7933a0

54131241888 has 144 divisors (see below), whose sum is σ = 163263050496. Its totient is φ = 16976171520.

The previous prime is 54131241887. The next prime is 54131241937. The reversal of 54131241888 is 88814213145.

54131241888 is a `hidden beast` number, since 541 + 3 + 1 + 24 + 1 + 8 + 88 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (54131241881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 337081 + ... + 471047.

It is an arithmetic number, because the mean of its divisors is an integer number (1133771184).

Almost surely, 254131241888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54131241888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81631525248).

54131241888 is an abundant number, since it is smaller than the sum of its proper divisors (109131808608).

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

54131241888 is a wasteful number, since it uses less digits than its factorization.

54131241888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134067 (or 134056 counting only the distinct ones).

The product of its digits is 245760, while the sum is 45.

The spelling of 54131241888 in words is "fifty-four billion, one hundred thirty-one million, two hundred forty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 61 69 72 92 96 122 138 144 183 184 207 244 276 288 366 368 414 488 549 552 732 736 828 976 1098 1104 1403 1464 1656 1952 2196 2208 2806 2928 3312 4209 4392 5612 5856 6624 8418 8784 11224 12627 16836 17568 22448 25254 33672 44896 50508 67344 101016 133967 134688 202032 267934 401901 404064 535868 803802 1071736 1205703 1607604 2143472 2411406 3081241 3215208 4286944 4822812 6162482 6430416 8171987 9243723 9645624 12324964 12860832 16343974 18487446 19291248 24515961 24649928 27731169 32687948 36974892 38582496 49031922 49299856 55462338 65375896 73547883 73949784 98063844 98599712 110924676 130751792 147095766 147899568 187955701 196127688 221849352 261503584 294191532 295799136 375911402 392255376 443698704 563867103 588383064 751822804 784510752 887397408 1127734206 1176766128 1503645608 1691601309 2255468412 2353532256 3007291216 3383202618 4510936824 6014582432 6766405236 9021873648 13532810472 18043747296 27065620944 54131241888