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80368848036 = 223237212772
BaseRepresentation
bin100101011011001011…
…0110100110010100100
321200110001011111101100
41022312112310302210
52304043411114121
6100530531200100
75543420636211
oct1126626646244
9250401144340
1080368848036
11310a2135074
12136ab446030
13776a689ca9
143c65b50b08
152155a7c026
hex12b65b4ca4

80368848036 has 81 divisors (see below), whose sum is σ = 208957280259. Its totient is φ = 26045160768.

The previous prime is 80368848031. The next prime is 80368848037. The reversal of 80368848036 is 63084886308.

It is a happy number.

The square root of 80368848036 is 283494.

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

80368848036 is a `hidden beast` number, since 80 + 3 + 6 + 88 + 480 + 3 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26730288036 + 53638560000 = 163494^2 + 231600^2 .

It is a super-2 number, since 2×803688480362 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (80368848031) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 62935030 + ... + 62936306.

Almost surely, 280368848036 is an apocalyptic number.

80368848036 is the 283494-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80368848036

80368848036 is an abundant number, since it is smaller than the sum of its proper divisors (128588432223).

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

80368848036 is a wasteful number, since it uses less digits than its factorization.

80368848036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2638 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 80368848036 in words is "eighty billion, three hundred sixty-eight million, eight hundred forty-eight thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1277 1332 1369 2554 2738 3831 4107 5108 5476 7662 8214 11493 12321 15324 16428 22986 24642 45972 47249 49284 94498 141747 188996 283494 425241 566988 850482 1630729 1700964 1748213 3261458 3496426 4892187 5244639 6522916 6992852 9784374 10489278 14676561 15733917 19568748 20978556 29353122 31467834 58706244 60336973 62935668 120673946 181010919 241347892 362021838 543032757 724043676 1086065514 2172131028 2232468001 4464936002 6697404003 8929872004 13394808006 20092212009 26789616012 40184424018 80368848036