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81226822249408 = 2611229361689683
BaseRepresentation
bin10010011110000000010111…
…111000101110101111000000
3101122121012121220100120200011
4102132000113320232233000
541121310012443440113
6444431030443034304
723052305243150263
oct2236002770565700
9348535556316604
1081226822249408
1123977113643200
12913a37650b994
13364286c363704
14160b583490cda
1595cd6929763d
hex49e017e2ebc0

81226822249408 has 84 divisors (see below), whose sum is σ = 183279013573320. Its totient is φ = 35648135057920.

The previous prime is 81226822249351. The next prime is 81226822249411. The reversal of 81226822249408 is 80494222862218.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 180620266 + ... + 181069417.

It is an arithmetic number, because the mean of its divisors is an integer number (2181893018730).

Almost surely, 281226822249408 is an apocalyptic number.

81226822249408 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

81226822249408 is an abundant number, since it is smaller than the sum of its proper divisors (102052191323912).

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

81226822249408 is a wasteful number, since it uses less digits than its factorization.

81226822249408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361689746 (or 361689725 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 58.

The spelling of 81226822249408 in words is "eighty-one trillion, two hundred twenty-six billion, eight hundred twenty-two million, two hundred forty-nine thousand, four hundred eight".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 121 176 232 242 319 352 464 484 638 704 928 968 1276 1856 1936 2552 3509 3872 5104 7018 7744 10208 14036 20416 28072 56144 112288 224576 361689683 723379366 1446758732 2893517464 3978586513 5787034928 7957173026 10489000807 11574069856 15914346052 20978001614 23148139712 31828692104 41956003228 43764451643 63657384208 83912006456 87528903286 115379008877 127314768416 167824012912 175057806572 230758017754 254629536832 335648025824 350115613144 461516035508 671296051648 700231226288 923032071016 1269169097647 1400462452576 1846064142032 2538338195294 2800924905152 3692128284064 5076676390588 7384256568128 10153352781176 20306705562352 40613411124704 81226822249408