Search a number
-
+
512994302640 = 243255711247797
BaseRepresentation
bin1110111011100001101…
…01111101101010110000
31211001010110021200101200
413131300311331222300
531401103020141030
61031355532131200
752030322424531
oct7356065755260
91731113250350
10512994302640
11188617a01396
1283508906b00
13394b52a6451
141ab86d08688
15d52680bd60
hex7770d7dab0

512994302640 has 120 divisors (see below), whose sum is σ = 1725824422608. Its totient is φ = 136558794240.

The previous prime is 512994302629. The next prime is 512994302663. The reversal of 512994302640 is 46203499215.

512994302640 is a `hidden beast` number, since 51 + 299 + 4 + 302 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212779 + ... + 1035018.

Almost surely, 2512994302640 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 512994302640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862912211304).

512994302640 is an abundant number, since it is smaller than the sum of its proper divisors (1212830119968).

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

512994302640 is a wasteful number, since it uses less digits than its factorization.

512994302640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248387 (or 1248378 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 512994302640 in words is "five hundred twelve billion, nine hundred ninety-four million, three hundred two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 571 720 1142 1713 2284 2855 3426 4568 5139 5710 6852 8565 9136 10278 11420 13704 17130 20556 22840 25695 27408 34260 41112 45680 51390 68520 82224 102780 137040 205560 411120 1247797 2495594 3743391 4991188 6238985 7486782 9982376 11230173 12477970 14973564 18716955 19964752 22460346 24955940 29947128 37433910 44920692 49911880 56150865 59894256 74867820 89841384 99823760 112301730 149735640 179682768 224603460 299471280 449206920 712492087 898413840 1424984174 2137476261 2849968348 3562460435 4274952522 5699936696 6412428783 7124920870 8549905044 10687381305 11399873392 12824857566 14249841740 17099810088 21374762610 25649715132 28499683480 32062143915 34199620176 42749525220 51299430264 56999366960 64124287830 85499050440 102598860528 128248575660 170998100880 256497151320 512994302640