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81754492192 = 2517457328849
BaseRepresentation
bin100110000100011110…
…0101000110100100000
321211000121111111211021
41030020330220310200
52314413122222232
6101320230255224
75622644501122
oct1141074506440
9254017444737
1081754492192
113174330902a
1213a174b7514
13792b780389
143d57ba7212
1521d7538397
hex1308f28d20

81754492192 has 48 divisors (see below), whose sum is σ = 170795482200. Its totient is φ = 38388400128.

The previous prime is 81754492189. The next prime is 81754492229. The reversal of 81754492192 is 29129445718.

It can be written as a sum of positive squares in 4 ways, for example, as 81747959056 + 6533136 = 285916^2 + 2556^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84184 + ... + 413032.

Almost surely, 281754492192 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 81754492192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85397741100).

81754492192 is an abundant number, since it is smaller than the sum of its proper divisors (89040990008).

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

81754492192 is a wasteful number, since it uses less digits than its factorization.

81754492192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329333 (or 329325 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 52.

The spelling of 81754492192 in words is "eighty-one billion, seven hundred fifty-four million, four hundred ninety-two thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 457 544 914 1828 3656 7312 7769 14624 15538 31076 62152 124304 248608 328849 657698 1315396 2630792 5261584 5590433 10523168 11180866 22361732 44723464 89446928 150283993 178893856 300567986 601135972 1202271944 2404543888 2554827881 4809087776 5109655762 10219311524 20438623048 40877246096 81754492192