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505406240106 = 23416772742179
BaseRepresentation
bin1110101101011001000…
…11110011010101101010
31210022112122000011110120
413112230203303111222
531240032444140411
61024102545424110
751341303105325
oct7265443632552
91708478004416
10505406240106
11185383712729
1281b4b63b036
13388761c4311
141a6672317bc
15d230582106
hex75ac8f356a

505406240106 has 64 divisors (see below), whose sum is σ = 1052391674880. Its totient is φ = 161680083840.

The previous prime is 505406240099. The next prime is 505406240117. The reversal of 505406240106 is 601042604505.

It is a super-3 number, since 3×5054062401063 (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11961325 + ... + 12003503.

It is an arithmetic number, because the mean of its divisors is an integer number (16443619920).

Almost surely, 2505406240106 is an apocalyptic number.

505406240106 is an abundant number, since it is smaller than the sum of its proper divisors (546985434774).

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

505406240106 is a wasteful number, since it uses less digits than its factorization.

505406240106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43019.

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 505406240106 in words is "five hundred five billion, four hundred six million, two hundred forty thousand, one hundred six".

Divisors: 1 2 3 6 41 67 82 123 134 201 246 402 727 1454 2181 2747 4362 5494 8241 16482 29807 42179 48709 59614 84358 89421 97418 126537 146127 178842 253074 292254 1729339 1997069 2825993 3458678 3994138 5188017 5651986 5991207 8477979 10376034 11982414 16955958 30664133 61328266 91992399 115865713 183984798 231731426 347597139 695194278 1257229453 2054496911 2514458906 3771688359 4108993822 6163490733 7543376718 12326981466 84234373351 168468746702 252703120053 505406240106