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72776987736 = 23353210392
BaseRepresentation
bin100001111000111011…
…0001011010001011000
320221211221202000220020
41003301312023101120
52143021402101421
653233331230440
75154324121545
oct1036166132130
9227757660806
1072776987736
1128956792062
1212130a48420
136b2a87836b
143745769bcc
151d5e301dc6
hex10f1d8b458

72776987736 has 72 divisors (see below), whose sum is σ = 185618768580. Its totient is φ = 23778371136.

The previous prime is 72776987719. The next prime is 72776987797. The reversal of 72776987736 is 63778967727.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 70044705 + ... + 70045743.

Almost surely, 272776987736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72776987736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92809384290).

72776987736 is an abundant number, since it is smaller than the sum of its proper divisors (112841780844).

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

72776987736 is an equidigital number, since it uses as much as digits as its factorization.

72776987736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193 (or 1097 counting only the distinct ones).

The product of its digits is 261382464, while the sum is 69.

The spelling of 72776987736 in words is "seventy-two billion, seven hundred seventy-six million, nine hundred eighty-seven thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 636 1039 1272 2078 2809 3117 4156 5618 6234 8312 8427 11236 12468 16854 22472 24936 33708 55067 67416 110134 165201 220268 330402 440536 660804 1079521 1321608 2159042 2918551 3238563 4318084 5837102 6477126 8636168 8755653 11674204 12954252 17511306 23348408 25908504 35022612 57214613 70045224 114429226 171643839 228858452 343287678 457716904 686575356 1373150712 3032374489 6064748978 9097123467 12129497956 18194246934 24258995912 36388493868 72776987736