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2054406366045 = 3251123533404689
BaseRepresentation
bin11101111001010100001…
…010010110001101011101
321021101210010000121110100
4131321110022112031131
5232124411012203140
64211440430131313
7301266050662035
oct35712412261535
97241703017410
102054406366045
117222a5920970
122921a8650b39
1311b964185887
14716104b48c5
153868e617530
hex1de5429635d

2054406366045 has 96 divisors (see below), whose sum is σ = 4130079632640. Its totient is φ = 934791137280.

The previous prime is 2054406366043. The next prime is 2054406366053. The reversal of 2054406366045 is 5406636044502.

It is a happy number.

2054406366045 is a `hidden beast` number, since 2 + 0 + 5 + 4 + 4 + 0 + 6 + 36 + 604 + 5 = 666.

It is not a de Polignac number, because 2054406366045 - 21 = 2054406366043 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2054406366043) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1098940 + ... + 2305749.

It is an arithmetic number, because the mean of its divisors is an integer number (43021662840).

Almost surely, 22054406366045 is an apocalyptic number.

It is an amenable number.

2054406366045 is an abundant number, since it is smaller than the sum of its proper divisors (2075673266595).

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

2054406366045 is a wasteful number, since it uses less digits than its factorization.

2054406366045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3404787 (or 3404784 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 2054406366045 in words is "two trillion, fifty-four billion, four hundred six million, three hundred sixty-six thousand, forty-five".

Divisors: 1 3 5 9 11 15 23 33 45 53 55 69 99 115 159 165 207 253 265 345 477 495 583 759 795 1035 1219 1265 1749 2277 2385 2915 3657 3795 5247 6095 8745 10971 11385 13409 18285 26235 40227 54855 67045 120681 201135 603405 3404689 10214067 17023445 30642201 37451579 51070335 78307847 112354737 153211005 180448517 187257895 234923541 337064211 391539235 541345551 561773685 704770623 861386317 902242585 1174617705 1624036653 1685321055 1984933687 2584158951 2706727755 3523853115 4150315891 4306931585 5954801061 7752476853 8120183265 9924668435 12450947673 12920794755 17864403183 20751579455 29774005305 37352843019 38762384265 45653474801 62254738365 89322015915 136960424403 186764215095 228267374005 410881273209 684802122015 2054406366045