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66075124375 = 5413193113807
BaseRepresentation
bin111101100010011000…
…100110001010010111
320022112220000002200201
4331202120212022113
52040310212440000
650204323121331
74526255201401
oct754230461227
9208486002621
1066075124375
1126027759a07
1210980513247
13630026a040
1432ab659b71
151abac7996a
hexf62626297

66075124375 has 80 divisors (see below), whose sum is σ = 96625070080. Its totient is φ = 44731440000.

The previous prime is 66075124331. The next prime is 66075124447. The reversal of 66075124375 is 57342157066.

66075124375 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 66075124375 - 211 = 66075122327 is a prime.

It is a super-2 number, since 2×660751243752 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4778722 + ... + 4792528.

It is an arithmetic number, because the mean of its divisors is an integer number (1207813376).

Almost surely, 266075124375 is an apocalyptic number.

66075124375 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

66075124375 is a deficient number, since it is larger than the sum of its proper divisors (30549945705).

66075124375 is a wasteful number, since it uses less digits than its factorization.

66075124375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13890 (or 13875 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 46.

The spelling of 66075124375 in words is "sixty-six billion, seventy-five million, one hundred twenty-four thousand, three hundred seventy-five".

Divisors: 1 5 13 19 25 31 65 95 125 155 247 325 403 475 589 625 775 1235 1625 2015 2375 2945 3875 6175 7657 8125 10075 11875 13807 14725 19375 30875 38285 50375 69035 73625 154375 179491 191425 251875 262333 345175 368125 428017 897455 957125 1311665 1725875 2140085 3410329 4487275 4785625 5564221 6558325 8132323 8629375 10700425 17051645 22436375 27821105 32791625 40661615 53502125 85258225 105720199 112181875 139105525 163958125 203308075 267510625 426291125 528600995 695527625 1016540375 2131455625 2643004975 3477638125 5082701875 13215024875 66075124375