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540055511305335 = 325172924343272991
BaseRepresentation
bin111101011001011010111100…
…0111010010000110001110111
32121211011210200010211010222200
41322302311320322100301313
51031241232141343232320
65152334024333555543
7221516503010362644
oct17262657072206167
92554153603733880
10540055511305335
1114709528aa06193
12506a2462045bb3
131a24602976c88c
149750b7d1c2dcb
15426813ac64290
hex1eb2d78e90c77

540055511305335 has 48 divisors (see below), whose sum is σ = 1025338658423040. Its totient is φ = 261738871188480.

The previous prime is 540055511305327. The next prime is 540055511305367. The reversal of 540055511305335 is 533503115550045.

540055511305335 is a `hidden beast` number, since 5 + 4 + 0 + 0 + 5 + 5 + 5 + 1 + 1 + 305 + 335 = 666.

It is not a de Polignac number, because 540055511305335 - 23 = 540055511305327 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12171614311 + ... + 12171658680.

It is an arithmetic number, because the mean of its divisors is an integer number (21361222050480).

Almost surely, 2540055511305335 is an apocalyptic number.

540055511305335 is a deficient number, since it is larger than the sum of its proper divisors (485283147117705).

540055511305335 is a wasteful number, since it uses less digits than its factorization.

540055511305335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24343273048 (or 24343273045 counting only the distinct ones).

The product of its (nonzero) digits is 1687500, while the sum is 45.

The spelling of 540055511305335 in words is "five hundred forty trillion, fifty-five billion, five hundred eleven million, three hundred five thousand, three hundred thirty-five".

Divisors: 1 3 5 9 15 17 29 45 51 85 87 145 153 255 261 435 493 765 1305 1479 2465 4437 7395 22185 24343272991 73029818973 121716364955 219089456919 365149094865 413835640847 705954916739 1095447284595 1241506922541 2069178204235 2117864750217 3529774583695 3724520767623 6207534612705 6353594250651 10589323751085 12001233584563 18622603838115 31767971253255 36003700753689 60006167922815 108011102261067 180018503768445 540055511305335