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10085813808576 = 263119901482323
BaseRepresentation
bin1001001011000100100101…
…0110010110110111000000
31022201012020201001101212220
42102301021112112313000
52310221221313333301
633241205304451040
72060450603601162
oct222611126266700
938635221041786
1010085813808576
113239407a5a580
12116a846779a80
1358211b8c804c
1426c22808a932
1512754da1b936
hex92c49596dc0

10085813808576 has 112 divisors (see below), whose sum is σ = 29114326823808. Its totient is φ = 3055992192000.

The previous prime is 10085813808571. The next prime is 10085813808593. The reversal of 10085813808576 is 67580831858001.

It is a super-2 number, since 2×100858138085762 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10085813808571) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 20669751 + ... + 21152073.

Almost surely, 210085813808576 is an apocalyptic number.

10085813808576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10085813808576 is an abundant number, since it is smaller than the sum of its proper divisors (19028513015232).

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

10085813808576 is a wasteful number, since it uses less digits than its factorization.

10085813808576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492250 (or 492240 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 60.

The spelling of 10085813808576 in words is "ten trillion, eighty-five billion, eight hundred thirteen million, eight hundred eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 9901 19802 29703 39604 59406 79208 108911 118812 158416 217822 237624 316832 326733 435644 475248 482323 633664 653466 871288 950496 964646 1306932 1446969 1742576 1900992 1929292 2613864 2893938 3485152 3858584 5227728 5305553 5787876 6970304 7717168 10455456 10611106 11575752 15434336 15916659 20910912 21222212 23151504 30868672 31833318 42444424 46303008 63666636 84888848 92606016 127333272 169777696 254666544 339555392 509333088 1018666176 4775480023 9550960046 14326440069 19101920092 28652880138 38203840184 52530280253 57305760276 76407680368 105060560506 114611520552 152815360736 157590840759 210121121012 229223041104 305630721472 315181681518 420242242024 458446082208 630363363036 840484484048 916892164416 1260726726072 1680968968096 2521453452144 3361937936192 5042906904288 10085813808576