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128396557728 = 253589185527
BaseRepresentation
bin111011110010100000…
…1111111110110100000
3110021102011202221100000
41313211001333312200
54100424004321403
6134552355500000
712163533506355
oct1674501776640
9407364687300
10128396557728
114a4a856722a
1220a738b7600
13c15293501a
14630055a62c
1535171d47a3
hex1de507fda0

128396557728 has 144 divisors (see below), whose sum is σ = 382907528640. Its totient is φ = 42317738496.

The previous prime is 128396557673. The next prime is 128396557763. The reversal of 128396557728 is 827755693821.

128396557728 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 9 + 6 + 557 + 72 + 8 = 666.

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

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, 599301 + ... + 784827.

It is an arithmetic number, because the mean of its divisors is an integer number (2659080060).

Almost surely, 2128396557728 is an apocalyptic number.

128396557728 is a gapful number since it is divisible by the number (18) 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 128396557728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191453764320).

128396557728 is an abundant number, since it is smaller than the sum of its proper divisors (254510970912).

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

128396557728 is an equidigital number, since it uses as much as digits as its factorization.

128396557728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185641 (or 185621 counting only the distinct ones).

The product of its digits is 50803200, while the sum is 63.

The spelling of 128396557728 in words is "one hundred twenty-eight billion, three hundred ninety-six million, five hundred fifty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 89 96 108 144 162 178 216 243 267 288 324 356 432 486 534 648 712 801 864 972 1068 1296 1424 1602 1944 2136 2403 2592 2848 3204 3888 4272 4806 6408 7209 7776 8544 9612 12816 14418 19224 21627 25632 28836 38448 43254 57672 76896 86508 115344 173016 185527 230688 346032 371054 556581 692064 742108 1113162 1484216 1669743 2226324 2968432 3339486 4452648 5009229 5936864 6678972 8905296 10018458 13357944 15027687 16511903 17810592 20036916 26715888 30055374 33023806 40073832 45083061 49535709 53431776 60110748 66047612 80147664 90166122 99071418 120221496 132095224 148607127 160295328 180332244 198142836 240442992 264190448 297214254 360664488 396285672 445821381 480885984 528380896 594428508 721328976 792571344 891642762 1188857016 1337464143 1442657952 1585142688 1783285524 2377714032 2674928286 3566571048 4012392429 4755428064 5349856572 7133142096 8024784858 10699713144 14266284192 16049569716 21399426288 32099139432 42798852576 64198278864 128396557728