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128445046048 = 25111728176387
BaseRepresentation
bin111011110011111101…
…0111101110100100000
3110021112120000101210201
41313213322331310200
54101023412433143
6135001251034544
712164662606624
oct1674772756440
9407476011721
10128445046048
114a522975220
1220a87b9ba54
13c15c9b1337
146306b7d184
15351b5b164d
hex1de7ebdd20

128445046048 has 96 divisors (see below), whose sum is σ = 293135588928. Its totient is φ = 54753484800.

The previous prime is 128445046021. The next prime is 128445046049. The reversal of 128445046048 is 840640544821.

It is a junction number, because it is equal to n+sod(n) for n = 128445045989 and 128445046007.

It is not an unprimeable number, because it can be changed into a prime (128445046049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1643311 + ... + 1719697.

It is an arithmetic number, because the mean of its divisors is an integer number (3053495718).

Almost surely, 2128445046048 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 128445046048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146567794464).

128445046048 is an abundant number, since it is smaller than the sum of its proper divisors (164690542880).

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

128445046048 is a wasteful number, since it uses less digits than its factorization.

128445046048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76706 (or 76698 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 46.

The spelling of 128445046048 in words is "one hundred twenty-eight billion, four hundred forty-five million, forty-six thousand, forty-eight".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 281 352 374 544 562 748 1124 1496 2248 2992 3091 4496 4777 5984 6182 8992 9554 12364 19108 24728 38216 49456 52547 76387 76432 98912 105094 152774 152864 210188 305548 420376 611096 840257 840752 1222192 1298579 1680514 1681504 2444384 2597158 3361028 5194316 6722056 10388632 13444112 14284369 20777264 21464747 26888224 28568738 41554528 42929494 57137476 85858988 114274952 171717976 228549904 236112217 343435952 364900699 457099808 472224434 686871904 729801398 944448868 1459602796 1888897736 2919205592 3777795472 4013907689 5838411184 7555590944 8027815378 11676822368 16055630756 32111261512 64222523024 128445046048