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505550050056 = 233329313216047
BaseRepresentation
bin1110101101101010010…
…00011001001100001000
31210022220122121110122000
413112311020121030020
531240331303100211
61024125124031000
751345000344322
oct7266510311410
91708818543560
10505550050056
11185447907227
1281b8b832460
1338899c3686c
141a67c388612
15d23cedc656
hex75b5219308

505550050056 has 128 divisors (see below), whose sum is σ = 1410398438400. Its totient is φ = 167786657280.

The previous prime is 505550050007. The next prime is 505550050069. The reversal of 505550050056 is 650050055505.

505550050056 is a `hidden beast` number, since 5 + 0 + 5 + 550 + 0 + 50 + 0 + 56 = 666.

It is a super-2 number, since 2×5055500500562 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 505550050056.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83600425 + ... + 83606471.

It is an arithmetic number, because the mean of its divisors is an integer number (11018737800).

Almost surely, 2505550050056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505550050056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705199219200).

505550050056 is an abundant number, since it is smaller than the sum of its proper divisors (904848388344).

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

505550050056 is a wasteful number, since it uses less digits than its factorization.

505550050056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7676 (or 7666 counting only the distinct ones).

The product of its (nonzero) digits is 93750, while the sum is 36.

The spelling of 505550050056 in words is "five hundred five billion, five hundred fifty million, fifty thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 293 586 879 1172 1321 1758 2344 2637 2642 3516 3963 5274 5284 6047 7032 7911 7926 10548 10568 11889 12094 15822 15852 18141 21096 23778 24188 31644 31704 35667 36282 47556 48376 54423 63288 71334 72564 95112 108846 142668 145128 163269 217692 285336 326538 387053 435384 653076 774106 1161159 1306152 1548212 1771771 2322318 3096424 3483477 3543542 4644636 5315313 6966954 7087084 7988087 9289272 10450431 10630626 13933908 14174168 15945939 15976174 20900862 21261252 23964261 27867816 31891878 31952348 41801724 42522504 47837817 47928522 63783756 63904696 71892783 83603448 95675634 95857044 127567512 143785566 191351268 191714088 215678349 287571132 382702536 431356698 575142264 862713396 1725426792 2340509491 4681018982 7021528473 9362037964 14043056946 18724075928 21064585419 28086113892 42129170838 56172227784 63193756257 84258341676 126387512514 168516683352 252775025028 505550050056