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80623219842 = 232112316911681
BaseRepresentation
bin100101100010110000…
…1001011010010000010
321201002202210220220100
41023011201023102002
52310104021013332
6101012055223230
75552630030034
oct1130541132202
9251082726810
1080623219842
1131212784400
1213760677b16
1377ab2a0559
143c8b847c54
15216d07667c
hex12c584b482

80623219842 has 72 divisors (see below), whose sum is σ = 192084672780. Its totient is φ = 24421478400.

The previous prime is 80623219777. The next prime is 80623219847. The reversal of 80623219842 is 24891232608.

80623219842 is a `hidden beast` number, since 8 + 0 + 623 + 2 + 19 + 8 + 4 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 77996759841 + 2626460001 = 279279^2 + 51249^2 .

It is not an unprimeable number, because it can be changed into a prime (80623219847) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6896242 + ... + 6907922.

Almost surely, 280623219842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80623219842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96042336390).

80623219842 is an abundant number, since it is smaller than the sum of its proper divisors (111461452938).

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

80623219842 is a wasteful number, since it uses less digits than its factorization.

80623219842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14880 (or 14866 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 80623219842 in words is "eighty billion, six hundred twenty-three million, two hundred nineteen thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 3169 6338 9507 11681 19014 23362 28521 34859 35043 57042 69718 70086 104577 105129 128491 209154 210258 256982 313731 383449 385473 627462 766898 770946 1150347 1156419 1413401 2300694 2312838 2826802 3451041 4240203 6902082 8480406 12720609 25441218 37017089 74034178 111051267 222102534 333153801 407187979 666307602 814375958 1221563937 2443127874 3664691811 4479067769 7329383622 8958135538 13437203307 26874406614 40311609921 80623219842