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505244040336 = 24327271604881
BaseRepresentation
bin1110101101000101110…
…01000011110010010000
31210022010022210120012200
413112202321003302100
531234214433242321
61024034513123200
751334263324600
oct7264271036220
91708108716180
10505244040336
111853000a8632
1281b05259500
133884b713519
141a64d88cc00
15d2211e2d26
hex75a2e43c90

505244040336 has 90 divisors (see below), whose sum is σ = 1644835744422. Its totient is φ = 144355438080.

The previous prime is 505244040283. The next prime is 505244040383. The reversal of 505244040336 is 633040442505.

505244040336 is a `hidden beast` number, since 5 + 0 + 5 + 244 + 0 + 403 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 401144889600 + 104099150736 = 633360^2 + 322644^2 .

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 505244040336.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 35795385 + ... + 35809496.

Almost surely, 2505244040336 is an apocalyptic number.

505244040336 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

505244040336 is an abundant number, since it is smaller than the sum of its proper divisors (1139591704086).

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

505244040336 is a wasteful number, since it uses less digits than its factorization.

505244040336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71604909 (or 71604893 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 505244040336 in words is "five hundred five billion, two hundred forty-four million, forty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 71604881 143209762 214814643 286419524 429629286 501234167 572839048 644443929 859258572 1002468334 1145678096 1288887858 1503702501 1718517144 2004936668 2577775716 3007405002 3437034288 3508639169 4009873336 4511107503 5155551432 6014810004 7017278338 8019746672 9022215006 10311102864 10525917507 12029620008 14034556676 18044430012 21051835014 24059240016 28069113352 31577752521 36088860024 42103670028 56138226704 63155505042 72177720048 84207340056 126311010084 168414680112 252622020168 505244040336