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128350275040 = 25513170936107
BaseRepresentation
bin111011110001001000…
…1011100010111100000
3110021021221200112102101
41313202101130113200
54100330132300130
6134544023500144
712162432223411
oct1674221342740
9407257615371
10128350275040
114a484425379
1220a602b7654
13c14617b910
1462d834d808
1535130e11ca
hex1de245c5e0

128350275040 has 96 divisors (see below), whose sum is σ = 326752846560. Its totient is φ = 47361828864.

The previous prime is 128350274959. The next prime is 128350275041. The reversal of 128350275040 is 40572053821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128350275041) 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, 3536667 + ... + 3572773.

It is an arithmetic number, because the mean of its divisors is an integer number (3403675485).

Almost surely, 2128350275040 is an apocalyptic number.

128350275040 is a gapful number since it is divisible by the number (10) 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 128350275040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163376423280).

128350275040 is an abundant number, since it is smaller than the sum of its proper divisors (198402571520).

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

128350275040 is a wasteful number, since it uses less digits than its factorization.

128350275040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37844 (or 37836 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The spelling of 128350275040 in words is "one hundred twenty-eight billion, three hundred fifty million, two hundred seventy-five thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 1709 2080 3418 6836 8545 13672 17090 22217 27344 34180 36107 44434 54688 68360 72214 88868 111085 136720 144428 177736 180535 222170 273440 288856 355472 361070 444340 469391 577712 710944 722140 888680 938782 1155424 1444280 1777360 1877564 2346955 2888560 3554720 3755128 4693910 5777120 7510256 9387820 15020512 18775640 37551280 61706863 75102560 123413726 246827452 308534315 493654904 617068630 802189219 987309808 1234137260 1604378438 1974619616 2468274520 3208756876 4010946095 4936549040 6417513752 8021892190 9873098080 12835027504 16043784380 25670055008 32087568760 64175137520 128350275040