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128348299296 = 25327292195339
BaseRepresentation
bin111011110001000100…
…1111010000000100000
3110021021210222011012200
41313202021322000200
54100324131034141
6134543513253200
712162406354260
oct1674211720040
9407253864180
10128348299296
114a4832a5a28
1220a5b704200
13c145939539
1462d7d977a0
153512d50ab6
hex1de227a020

128348299296 has 144 divisors (see below), whose sum is σ = 431516030400. Its totient is φ = 35406411264.

The previous prime is 128348299273. The next prime is 128348299307. The reversal of 128348299296 is 692992843821.

128348299296 is a `hidden beast` number, since 1 + 28 + 34 + 8 + 299 + 296 = 666.

128348299296 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (63).

It is a nude number because it is divisible by every one of its digits.

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, 1039206 + ... + 1156133.

It is an arithmetic number, because the mean of its divisors is an integer number (2996639100).

Almost surely, 2128348299296 is an apocalyptic number.

128348299296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

128348299296 is an abundant number, since it is smaller than the sum of its proper divisors (303167731104).

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

128348299296 is a wasteful number, since it uses less digits than its factorization.

128348299296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2195391 (or 2195380 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 63.

The spelling of 128348299296 in words is "one hundred twenty-eight billion, three hundred forty-eight million, two hundred ninety-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 32 36 42 48 56 58 63 72 84 87 96 112 116 126 144 168 174 203 224 232 252 261 288 336 348 406 464 504 522 609 672 696 812 928 1008 1044 1218 1392 1624 1827 2016 2088 2436 2784 3248 3654 4176 4872 6496 7308 8352 9744 14616 19488 29232 58464 2195339 4390678 6586017 8781356 13172034 15367373 17562712 19758051 26344068 30734746 35125424 39516102 46102119 52688136 61469492 63664831 70250848 79032204 92204238 105376272 122938984 127329662 138306357 158064408 184408476 190994493 210752544 245877968 254659324 276612714 316128816 368816952 381988986 445653817 491755936 509318648 553225428 572983479 632257632 737633904 763977972 891307634 1018637296 1106450856 1145966958 1336961451 1475267808 1527955944 1782615268 2037274592 2212901712 2291933916 2673922902 3055911888 3565230536 4010884353 4425803424 4583867832 5347845804 6111823776 7130461072 8021768706 9167735664 10695691608 14260922144 16043537412 18335471328 21391383216 32087074824 42782766432 64174149648 128348299296