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128278234256416 = 2561383839204509
BaseRepresentation
bin11101001010101100011010…
…100101011101010000100000
3121211012021112201000010110121
4131022230122211131100200
5113303202310432201131
61132454112434410024
736006540141311506
oct3512543245352040
9554167481003417
10128278234256416
1137967548038402
1212479221130914
13567677c6ba1ca
1423969b1c4c676
15ec6c27ec0911
hex74ab1a95d420

128278234256416 has 96 divisors (see below), whose sum is σ = 257666108313600. Its totient is φ = 62847631610880.

The previous prime is 128278234256413. The next prime is 128278234256483. The reversal of 128278234256416 is 614652432872821.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is not an unprimeable number, because it can be changed into a prime (128278234256413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 627147570 + ... + 627352078.

It is an arithmetic number, because the mean of its divisors is an integer number (2684021961600).

Almost surely, 2128278234256416 is an apocalyptic number.

128278234256416 is a gapful number since it is divisible by the number (16) 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 128278234256416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128833054156800).

128278234256416 is an abundant number, since it is smaller than the sum of its proper divisors (129387874057184).

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

128278234256416 is a wasteful number, since it uses less digits than its factorization.

128278234256416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205802 (or 205794 counting only the distinct ones).

The product of its digits is 61931520, while the sum is 61.

The spelling of 128278234256416 in words is "one hundred twenty-eight trillion, two hundred seventy-eight billion, two hundred thirty-four million, two hundred fifty-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 61 122 244 383 488 766 839 976 1532 1678 1952 3064 3356 6128 6712 12256 13424 23363 26848 46726 51179 93452 102358 186904 204509 204716 321337 373808 409018 409432 642674 747616 818036 818864 1285348 1636072 1637728 2570696 3272144 5141392 6544288 10282784 12475049 19601557 24950098 39203114 49900196 78326947 78406228 99800392 156653894 156812456 171583051 199600784 313307788 313624912 343166102 399201568 626615576 627249824 686332204 1253231152 1372664408 2506462304 2745328816 4777943767 5490657632 9555887534 10466566111 19111775068 20933132222 38223550136 41866264444 65716308533 76447100272 83732528888 131432617066 152894200544 167465057776 262865234132 334930115552 525730468264 1051460936528 2102921873056 4008694820513 8017389641026 16034779282052 32069558564104 64139117128208 128278234256416