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45774082144 = 257204348581
BaseRepresentation
bin101010101000010110…
…010001000001100000
311101011002000022010201
4222220112101001200
51222221131112034
633010041234544
73210216164350
oct525026210140
9141132008121
1045774082144
111845a30445a
128a55792a54
1344163bb10b
1423033acb60
1512cd896014
hexaa8591060

45774082144 has 24 divisors (see below), whose sum is σ = 102991685328. Its totient is φ = 19617463680.

The previous prime is 45774082121. The next prime is 45774082157. The reversal of 45774082144 is 44128047754.

It is a super-2 number, since 2×457740821442 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45774082094 and 45774082103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 102174067 + ... + 102174514.

It is an arithmetic number, because the mean of its divisors is an integer number (4291320222).

Almost surely, 245774082144 is an apocalyptic number.

It is an amenable number.

45774082144 is an abundant number, since it is smaller than the sum of its proper divisors (57217603184).

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

45774082144 is a wasteful number, since it uses less digits than its factorization.

45774082144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204348598 (or 204348590 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 46.

The spelling of 45774082144 in words is "forty-five billion, seven hundred seventy-four million, eighty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 204348581 408697162 817394324 1430440067 1634788648 2860880134 3269577296 5721760268 6539154592 11443520536 22887041072 45774082144