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75430748256 = 253280312
BaseRepresentation
bin100011001000000000…
…1011110000001100000
321012200220021000221220
41012100001132001200
52213440232421011
654352530415040
75310146531643
oct1062001360140
9235626230856
1075430748256
1129a98766676
1212751731480
1371615c2266
143917da3a5a
151e672a1506
hex119005e060

75430748256 has 36 divisors (see below), whose sum is σ = 198012778236. Its totient is φ = 25142685760.

The previous prime is 75430748243. The next prime is 75430748257. The reversal of 75430748256 is 65284703457.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 75430748199 and 75430748208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75430748257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2676961 + ... + 2704991.

It is an arithmetic number, because the mean of its divisors is an integer number (5500354951).

Almost surely, 275430748256 is an apocalyptic number.

It is an amenable number.

75430748256 is an abundant number, since it is smaller than the sum of its proper divisors (122582029980).

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

75430748256 is an frugal number, since it uses more digits than its factorization.

75430748256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56075 (or 28036 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 51.

It can be divided in two parts, 75430 and 748256, that added together give a triangular number (823686 = T1283).

The spelling of 75430748256 in words is "seventy-five billion, four hundred thirty million, seven hundred forty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 28031 56062 84093 112124 168186 224248 336372 448496 672744 896992 1345488 2690976 785736961 1571473922 2357210883 3142947844 4714421766 6285895688 9428843532 12571791376 18857687064 25143582752 37715374128 75430748256