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81772342548 = 223137312775623
BaseRepresentation
bin100110000101000000…
…0101110110100010100
321211001212002101220120
41030022000232310110
52314432204430143
6101322105031540
75623252305021
oct1141200566424
9254055071816
1081772342548
11317523a0296
1213a214855b0
137932390210
143d5a2d2548
1521d8db2383
hex130a02ed14

81772342548 has 96 divisors (see below), whose sum is σ = 208494187776. Its totient is φ = 24792210432.

The previous prime is 81772342489. The next prime is 81772342559. The reversal of 81772342548 is 84524327718.

It is a happy number.

It is a super-2 number, since 2×817723425482 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 81772342548.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14539665 + ... + 14545287.

It is an arithmetic number, because the mean of its divisors is an integer number (2171814456).

Almost surely, 281772342548 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 81772342548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104247093888).

81772342548 is an abundant number, since it is smaller than the sum of its proper divisors (126721845228).

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

81772342548 is a wasteful number, since it uses less digits than its factorization.

81772342548 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6993 (or 6991 counting only the distinct ones).

The product of its digits is 3010560, while the sum is 51.

The spelling of 81772342548 in words is "eighty-one billion, seven hundred seventy-two million, three hundred forty-two thousand, five hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 73 78 146 156 219 292 438 876 949 1277 1898 2554 2847 3796 3831 5108 5623 5694 7662 11246 11388 15324 16601 16869 22492 33202 33738 49803 66404 67476 73099 93221 99606 146198 186442 199212 219297 279663 292396 372884 410479 438594 559326 820958 877188 1118652 1211873 1231437 1641916 2423746 2462874 3635619 4847492 4925748 5336227 7180571 7271238 10672454 14361142 14542476 16008681 21344908 21541713 28722284 32017362 43083426 64034724 86166852 93347423 186694846 280042269 373389692 524181683 560084538 1048363366 1120169076 1572545049 2096726732 3145090098 6290180196 6814361879 13628723758 20443085637 27257447516 40886171274 81772342548