Search a number
-
+
495200771712 = 2732429861781
BaseRepresentation
bin1110011010011000100…
…01000001111010000000
31202100012101121122200200
413031030101001322000
531103132344143322
61015254143045200
750530352052213
oct7151421017200
91670171548620
10495200771712
11181016a20229
127bb818a0800
133790aa8681a
1419d79aa577a
15cd346398ac
hex734c441e80

495200771712 has 48 divisors (see below), whose sum is σ = 1424991807330. Its totient is φ = 165066923520.

The previous prime is 495200771707. The next prime is 495200771759. The reversal of 495200771712 is 217177002594.

495200771712 is a `hidden beast` number, since 49 + 520 + 0 + 7 + 71 + 7 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 256173650496 + 239027121216 = 506136^2 + 488904^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 214929739 + ... + 214932042.

Almost surely, 2495200771712 is an apocalyptic number.

It is an amenable number.

495200771712 is an abundant number, since it is smaller than the sum of its proper divisors (929791035618).

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

495200771712 is a wasteful number, since it uses less digits than its factorization.

495200771712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429861801 (or 429861786 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The spelling of 495200771712 in words is "four hundred ninety-five billion, two hundred million, seven hundred seventy-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 429861781 859723562 1289585343 1719447124 2579170686 3438894248 3868756029 5158341372 6877788496 7737512058 10316682744 13755576992 15475024116 20633365488 27511153984 30950048232 41266730976 55022307968 61900096464 82533461952 123800192928 165066923904 247600385856 495200771712