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494129622816 = 253213712523561
BaseRepresentation
bin1110011000011000110…
…10111010111100100000
31202020102202001122122100
413030030122322330200
531043434140412231
61015000000410400
750461664331144
oct7141432727440
91666382048570
10494129622816
11180617321205
127b923016a00
1337799b97bcb
1419cb7717224
15ccc05a21e6
hex730c6baf20

494129622816 has 72 divisors (see below), whose sum is σ = 1415438024364. Its totient is φ = 163507599360.

The previous prime is 494129622797. The next prime is 494129622823. The reversal of 494129622816 is 618226921494.

494129622816 is a `hidden beast` number, since 4 + 9 + 4 + 1 + 2 + 9 + 622 + 8 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 450697395600 + 43432227216 = 671340^2 + 208404^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6222325 + ... + 6301236.

Almost surely, 2494129622816 is an apocalyptic number.

It is an amenable number.

494129622816 is an abundant number, since it is smaller than the sum of its proper divisors (921308401548).

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

494129622816 is a wasteful number, since it uses less digits than its factorization.

494129622816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12523714 (or 12523703 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 494129622816 in words is "four hundred ninety-four billion, one hundred twenty-nine million, six hundred twenty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 137 144 274 288 411 548 822 1096 1233 1644 2192 2466 3288 4384 4932 6576 9864 13152 19728 39456 12523561 25047122 37570683 50094244 75141366 100188488 112712049 150282732 200376976 225424098 300565464 400753952 450848196 601130928 901696392 1202261856 1715727857 1803392784 3431455714 3606785568 5147183571 6862911428 10294367142 13725822856 15441550713 20588734284 27451645712 30883101426 41177468568 54903291424 61766202852 82354937136 123532405704 164709874272 247064811408 494129622816