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540505051025 = 52411079914973
BaseRepresentation
bin1111101110110001001…
…11001000111110010001
31220200010201121111111112
413313120213020332101
532323423243113100
61052145443023105
754023135062202
oct7673047107621
91820121544445
10540505051025
11199255012885
128890606aa95
133bc7aa334a4
141c2368dd5a9
15e0d6b2eb35
hex7dd89c8f91

540505051025 has 48 divisors (see below), whose sum is σ = 693828592128. Its totient is φ = 417409344000.

The previous prime is 540505050979. The next prime is 540505051063. The reversal of 540505051025 is 520150505045.

It is a de Polignac number, because none of the positive numbers 2k-540505051025 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 540505050982 and 540505051000.

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, 108685439 + ... + 108690411.

It is an arithmetic number, because the mean of its divisors is an integer number (14454762336).

Almost surely, 2540505051025 is an apocalyptic number.

It is an amenable number.

540505051025 is a deficient number, since it is larger than the sum of its proper divisors (153323541103).

540505051025 is a wasteful number, since it uses less digits than its factorization.

540505051025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6122 (or 6117 counting only the distinct ones).

The product of its (nonzero) digits is 25000, while the sum is 32.

The spelling of 540505051025 in words is "five hundred forty billion, five hundred five million, fifty-one thousand, twenty-five".

Divisors: 1 5 25 41 107 205 535 991 1025 2675 4387 4955 4973 21935 24775 24865 40631 106037 109675 124325 203155 203893 530185 532111 1015775 1019465 2650925 2660555 4347517 4928243 5097325 13302775 21737585 21816551 24641215 108687925 109082755 123206075 202057963 527322001 545413775 1010289815 2636610005 5051449075 13183050025 21620202041 108101010205 540505051025