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128838776386464 = 2533149118954151
BaseRepresentation
bin11101010010110110011101…
…011111111111001110100000
3121220011212101211220201002000
4131102312131133333032200
5113341343303223331324
61134003414453524000
736065202661642014
oct3522663537771640
9556155354821060
10128838776386464
11380632444a5221
1212549999643600
1356b75a16ab471
1423b5b89926544
15ed65d3c429c9
hex752d9d7ff3a0

128838776386464 has 48 divisors (see below), whose sum is σ = 375779764463040. Its totient is φ = 42946258795200.

The previous prime is 128838776386459. The next prime is 128838776386553. The reversal of 128838776386464 is 464683677838821.

128838776386464 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 3 + 8 + 7 + 76 + 3 + 86 + 464 = 666.

128838776386464 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 (48).

It is a super-2 number, since 2×1288387763864642 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74559476212 + ... + 74559477939.

It is an arithmetic number, because the mean of its divisors is an integer number (7828745092980).

Almost surely, 2128838776386464 is an apocalyptic number.

It is an amenable number.

128838776386464 is an abundant number, since it is smaller than the sum of its proper divisors (246940988076576).

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

128838776386464 is a wasteful number, since it uses less digits than its factorization.

128838776386464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149118954170 (or 149118954156 counting only the distinct ones).

The product of its digits is 12485394432, while the sum is 81.

The spelling of 128838776386464 in words is "one hundred twenty-eight trillion, eight hundred thirty-eight billion, seven hundred seventy-six million, three hundred eighty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 149118954151 298237908302 447356862453 596475816604 894713724906 1192951633208 1342070587359 1789427449812 2385903266416 2684141174718 3578854899624 4026211762077 4771806532832 5368282349436 7157709799248 8052423524154 10736564698872 14315419598496 16104847048308 21473129397744 32209694096616 42946258795488 64419388193232 128838776386464