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5674460644765 = 5112709129110247
BaseRepresentation
bin101001010010011000000…
…1101100000010110011101
3202002110202220210212001101
41102210300031200112131
51220432243411113030
620022451120513101
71123652265436063
oct122446015402635
922073686725041
105674460644765
111898586112600
127778b947b791
1332213a343693
14158906c26033
159c9145b77ca
hex5293036059d

5674460644765 has 48 divisors (see below), whose sum is σ = 7501754897280. Its totient is φ = 4117465756800.

The previous prime is 5674460644751. The next prime is 5674460644841.

It is a happy number.

5674460644765 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-5674460644765 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5674460644697 and 5674460644706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 553762872 + ... + 553773118.

It is an arithmetic number, because the mean of its divisors is an integer number (156286560360).

Almost surely, 25674460644765 is an apocalyptic number.

5674460644765 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5674460644765 is a deficient number, since it is larger than the sum of its proper divisors (1827294252515).

5674460644765 is a wasteful number, since it uses less digits than its factorization.

5674460644765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12274 (or 12263 counting only the distinct ones).

The product of its (nonzero) digits is 406425600, while the sum is 64.

The spelling of 5674460644765 in words is "five trillion, six hundred seventy-four billion, four hundred sixty million, six hundred forty-four thousand, seven hundred sixty-five".

Divisors: 1 5 11 55 121 605 709 1291 3545 6455 7799 10247 14201 38995 51235 71005 85789 112717 156211 428945 563585 781055 915319 1239887 4576595 6199435 7265123 10068509 13228877 36325615 50342545 66144385 79916353 110753599 145517647 399581765 553767995 727588235 879079883 1600694117 4395399415 8003470585 9379273793 46896368965 103172011723 515860058615 1134892128953 5674460644765