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999634054003488 = 253218630492
BaseRepresentation
bin1110001101001010010111000…
…0101100011011101100100000
311212002102002012222012112112200
43203102211300230123230200
52022011001020311102423
613502013313354453200
7420362114511444501
oct34322456054335440
94762362188175480
10999634054003488
1126a572470096082
129414793a134200
1333ba2118960567
14138bc79132cba8
157a87b983bcd43
hex38d2970b1bb20

999634054003488 has 54 divisors (see below), whose sum is σ = 2842710866910369. Its totient is φ = 333211172481792.

The previous prime is 999634054003477. The next prime is 999634054003499. The reversal of 999634054003488 is 884300450436999.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

999634054003488 is a `hidden beast` number, since 9 + 9 + 9 + 6 + 3 + 40 + 540 + 0 + 34 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (999634054003477) and next prime (999634054003499).

It can be written as a sum of positive squares in 2 ways, for example, as 615852319242384 + 383781734761104 = 24816372^2 + 19590348^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=22356588.

It is a super-2 number, since 2×9996340540034882 (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 8 ways as a sum of consecutive naturals, for example, 535626588 + ... + 537489636.

Almost surely, 2999634054003488 is an apocalyptic number.

It is an amenable number.

999634054003488 is an abundant number, since it is smaller than the sum of its proper divisors (1843076812906881).

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

999634054003488 is an frugal number, since it uses more digits than its factorization.

999634054003488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3726114 (or 1863054 counting only the distinct ones).

The product of its (nonzero) digits is 806215680, while the sum is 72.

999634054003488 divided by its sum of digits (72) gives a square (13883806305604 = 37260982).

The spelling of 999634054003488 in words is "nine hundred ninety-nine trillion, six hundred thirty-four billion, fifty-four million, three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1863049 3726098 5589147 7452196 11178294 14904392 16767441 22356588 29808784 33534882 44713176 59617568 67069764 89426352 134139528 178852704 268279056 536558112 3470951576401 6941903152802 10412854729203 13883806305604 20825709458406 27767612611208 31238564187609 41651418916812 55535225222416 62477128375218 83302837833624 111070450444832 124954256750436 166605675667248 249908513500872 333211351334496 499817027001744 999634054003488