Search a number
-
+
205428141936 = 24323121484479
BaseRepresentation
bin1011111101010001111…
…0001010111101110000
3201122020122021212101100
42333110132022331300
511331204101020221
6234212234004400
720561462252463
oct2772436127560
9648218255340
10205428141936
117a137915616
1233991576700
13164aaa93694
149d2ad912da
155524c9c926
hex2fd478af70

205428141936 has 90 divisors (see below), whose sum is σ = 594057721920. Its totient is φ = 66267097920.

The previous prime is 205428141923. The next prime is 205428141991. The reversal of 205428141936 is 639141824502.

205428141936 is a `hidden beast` number, since 2 + 0 + 542 + 8 + 14 + 1 + 93 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 205428141891 and 205428141900.

It is a congruent number.

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, 603856 + ... + 880623.

Almost surely, 2205428141936 is an apocalyptic number.

It is an amenable number.

205428141936 is an abundant number, since it is smaller than the sum of its proper divisors (388629579984).

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

205428141936 is a wasteful number, since it uses less digits than its factorization.

205428141936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484555 (or 1484515 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 205428141936 in words is "two hundred five billion, four hundred twenty-eight million, one hundred forty-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 961 1116 1488 1922 2232 2883 3844 4464 5766 7688 8649 11532 15376 17298 23064 34596 46128 69192 138384 1484479 2968958 4453437 5937916 8906874 11875832 13360311 17813748 23751664 26720622 35627496 46018849 53441244 71254992 92037698 106882488 138056547 184075396 213764976 276113094 368150792 414169641 552226188 736301584 828339282 1104452376 1426584319 1656678564 2208904752 2853168638 3313357128 4279752957 5706337276 6626714256 8559505914 11412674552 12839258871 17119011828 22825349104 25678517742 34238023656 51357035484 68476047312 102714070968 205428141936