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9936818761984 = 2827127272
BaseRepresentation
bin1001000010011001100010…
…0011010111000100000000
31022011221122222120210220221
42100212120203113010000
52300301101100340414
633044524515512424
72043624426601222
oct220463043270400
938157588523827
109936818761984
1131911aa158834
1211459a45b8714
135710655cb59a
14264d31d76412
1512372d29b224
hex909988d7100

9936818761984 has 81 divisors (see below), whose sum is σ = 19935704954151. Its totient is φ = 4943266859520.

The previous prime is 9936818761927. The next prime is 9936818762051. The reversal of 9936818761984 is 4891678186399.

The square root of 9936818761984 is 3152272.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13668251029 + ... + 13668251755.

Almost surely, 29936818761984 is an apocalyptic number.

9936818761984 is the 3152272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9936818761984

9936818761984 is an abundant number, since it is smaller than the sum of its proper divisors (9998886192167).

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

9936818761984 is an frugal number, since it uses more digits than its factorization.

9936818761984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2012 (or 1000 counting only the distinct ones).

The product of its digits is 1128701952, while the sum is 79.

The spelling of 9936818761984 in words is "nine trillion, nine hundred thirty-six billion, eight hundred eighteen million, seven hundred sixty-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 256 271 542 727 1084 1454 2168 2908 4336 5816 8672 11632 17344 23264 34688 46528 69376 73441 93056 146882 186112 197017 293764 394034 528529 587528 788068 1057058 1175056 1576136 2114116 2350112 3152272 4228232 4700224 6304544 8456464 9400448 12609088 16912928 18800896 25218176 33825856 50436352 53391607 67651712 106783214 135303424 143231359 213566428 286462718 427132856 572925436 854265712 1145850872 1708531424 2291701744 3417062848 4583403488 6834125696 9166806976 13668251392 18333613952 36667227904 38815698289 77631396578 155262793156 310525586312 621051172624 1242102345248 2484204690496 4968409380992 9936818761984