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54084254000 = 2453737310357
BaseRepresentation
bin110010010111101011…
…000011100100110000
312011121020001202211112
4302113223003210300
51341231032112000
640502421132452
73623154400550
oct622753034460
9164536052745
1054084254000
1120a34173587
12a59485a128
13513bc80b7a
142890d37160
15161820e235
hexc97ac3930

54084254000 has 160 divisors (see below), whose sum is σ = 149873133696. Its totient is φ = 18491673600.

The previous prime is 54084253999. The next prime is 54084254011. The reversal of 54084254000 is 45248045.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5216822 + ... + 5227178.

Almost surely, 254084254000 is an apocalyptic number.

54084254000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54084254000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74936566848).

54084254000 is an abundant number, since it is smaller than the sum of its proper divisors (95788879696).

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

54084254000 is a wasteful number, since it uses less digits than its factorization.

54084254000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10760 (or 10744 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

The spelling of 54084254000 in words is "fifty-four billion, eighty-four million, two hundred fifty-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 373 400 500 560 700 746 875 1000 1400 1492 1750 1865 2000 2611 2800 2984 3500 3730 5222 5968 7000 7460 9325 10357 10444 13055 14000 14920 18650 20714 20888 26110 29840 37300 41428 41776 46625 51785 52220 65275 72499 74600 82856 93250 103570 104440 130550 144998 149200 165712 186500 207140 208880 258925 261100 289996 326375 362495 373000 414280 517850 522200 579992 652750 724990 746000 828560 1035700 1044400 1159984 1294625 1305500 1449980 1812475 2071400 2589250 2611000 2899960 3624950 3863161 4142800 5178500 5222000 5799920 7249900 7726322 9062375 10357000 14499800 15452644 18124750 19315805 20714000 27042127 28999600 30905288 36249500 38631610 54084254 61810576 72499000 77263220 96579025 108168508 135210635 144998000 154526440 193158050 216337016 270421270 309052880 386316100 432674032 482895125 540842540 676053175 772632200 965790250 1081685080 1352106350 1545264400 1931580500 2163370160 2704212700 3380265875 3863161000 5408425400 6760531750 7726322000 10816850800 13521063500 27042127000 54084254000