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81581069376 = 263439672
BaseRepresentation
bin100101111111010011…
…1000101010001000000
321210120112011201110000
41023332213011101000
52314034223210001
6101251113240000
75615440435212
oct1137647052100
9253515151400
1081581069376
1131664428994
1213989403000
137901870121
143d3cb425b2
1521c71cda86
hex12fe9c5440

81581069376 has 105 divisors (see below), whose sum is σ = 241892822919. Its totient is φ = 27186834816.

The previous prime is 81581069363. The next prime is 81581069387. The reversal of 81581069376 is 67396018518.

The square root of 81581069376 is 285624.

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

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

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 14 ways as a sum of consecutive naturals, for example, 20562945 + ... + 20566911.

Almost surely, 281581069376 is an apocalyptic number.

81581069376 is the 285624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81581069376

81581069376 is an abundant number, since it is smaller than the sum of its proper divisors (160311753543).

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

81581069376 is an frugal number, since it uses more digits than its factorization.

81581069376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7958 (or 3972 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 81581069376 in words is "eighty-one billion, five hundred eighty-one million, sixty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 3967 5184 7934 11901 15868 23802 31736 35703 47604 63472 71406 95208 107109 126944 142812 190416 214218 253888 285624 321327 380832 428436 571248 642654 761664 856872 1142496 1285308 1713744 2284992 2570616 3427488 5141232 6854976 10282464 15737089 20564928 31474178 47211267 62948356 94422534 125896712 141633801 188845068 251793424 283267602 377690136 424901403 503586848 566535204 755380272 849802806 1007173696 1133070408 1274704209 1510760544 1699605612 2266140816 2549408418 3021521088 3399211224 4532281632 5098816836 6798422448 9064563264 10197633672 13596844896 20395267344 27193689792 40790534688 81581069376