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54450557728 = 2572178324611
BaseRepresentation
bin110010101101100000…
…011001001100100000
312012112202022221002021
4302231200121030200
51343003320321403
641003024231224
73635223050500
oct625540311440
9165482287067
1054450557728
1121101a13a36
12a67746b514
135199b24c38
1428c7849a00
15163a4688bd
hexcad819320

54450557728 has 144 divisors (see below), whose sum is σ = 133633118304. Its totient is φ = 21697751040.

The previous prime is 54450557717. The next prime is 54450557741. The reversal of 54450557728 is 82775505445.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2200143 + ... + 2224753.

It is an arithmetic number, because the mean of its divisors is an integer number (928007766).

Almost surely, 254450557728 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 54450557728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66816559152).

54450557728 is an abundant number, since it is smaller than the sum of its proper divisors (79182560576).

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

54450557728 is a wasteful number, since it uses less digits than its factorization.

54450557728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24735 (or 24720 counting only the distinct ones).

The product of its (nonzero) digits is 7840000, while the sum is 52.

The spelling of 54450557728 in words is "fifty-four billion, four hundred fifty million, five hundred fifty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 68 83 98 112 119 136 166 196 224 238 272 332 392 476 544 581 664 784 833 952 1162 1328 1411 1568 1666 1904 2324 2656 2822 3332 3808 4067 4648 5644 6664 8134 9296 9877 11288 13328 16268 18592 19754 22576 24611 26656 32536 39508 45152 49222 65072 69139 79016 98444 130144 138278 158032 172277 196888 276556 316064 344554 393776 418387 553112 689108 787552 836774 1106224 1205939 1378216 1673548 2042713 2212448 2411878 2756432 2928709 3347096 4085426 4823756 5512864 5857418 6694192 8170852 9647512 11714836 13388384 14298991 16341704 19295024 20500963 23429672 28597982 32683408 34726121 38590048 41001926 46859344 57195964 65366816 69452242 82003852 93718688 100092937 114391928 138904484 164007704 200185874 228783856 243082847 277808968 328015408 400371748 457567712 486165694 555617936 656030816 800743496 972331388 1111235872 1601486992 1701579929 1944662776 3202973984 3403159858 3889325552 6806319716 7778651104 13612639432 27225278864 54450557728