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82973026944 = 273347510817
BaseRepresentation
bin100110101000110010…
…0111110101010000000
321221011112101111021000
41031101210332222000
52324412043330234
6102041155532000
75665102043433
oct1152144765200
9257145344230
1082973026944
1132209124245
12140b75ba000
137a94064062
14403195d81a
1522594d5899
hex135193ea80

82973026944 has 128 divisors (see below), whose sum is σ = 250096492800. Its totient is φ = 27069161472.

The previous prime is 82973026921. The next prime is 82973026949. The reversal of 82973026944 is 44962037928.

82973026944 is a `hidden beast` number, since 8 + 297 + 302 + 6 + 9 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (82973026949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92977 + ... + 417840.

It is an arithmetic number, because the mean of its divisors is an integer number (1953878850).

Almost surely, 282973026944 is an apocalyptic number.

It is an amenable number.

82973026944 is an abundant number, since it is smaller than the sum of its proper divisors (167123465856).

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

82973026944 is a wasteful number, since it uses less digits than its factorization.

82973026944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510887 (or 510869 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 82973026944 in words is "eighty-two billion, nine hundred seventy-three million, twenty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 72 94 96 108 128 141 144 188 192 216 282 288 376 384 423 432 564 576 752 846 864 1128 1152 1269 1504 1692 1728 2256 2538 3008 3384 3456 4512 5076 6016 6768 9024 10152 13536 18048 20304 27072 40608 54144 81216 162432 510817 1021634 1532451 2043268 3064902 4086536 4597353 6129804 8173072 9194706 12259608 13792059 16346144 18389412 24008399 24519216 27584118 32692288 36778824 48016798 49038432 55168236 65384576 72025197 73557648 96033596 98076864 110336472 144050394 147115296 192067192 196153728 216075591 220672944 288100788 294230592 384134384 432151182 441345888 576201576 588461184 648226773 768268768 864302364 882691776 1152403152 1296453546 1536537536 1728604728 1765383552 2304806304 2592907092 3073075072 3457209456 4609612608 5185814184 6914418912 9219225216 10371628368 13828837824 20743256736 27657675648 41486513472 82973026944