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80290528380 = 2232531311711217
BaseRepresentation
bin100101011000110110…
…0000011110001111100
321200020120210110000100
41022301230003301330
52303413333402010
6100515052401100
75541450142056
oct1126154036174
9250216713010
1080290528380
1131061a01387
1213689176190
1377573976ba
143c595a48d6
15214dc5b2c0
hex12b1b03c7c

80290528380 has 144 divisors (see below), whose sum is σ = 244735624224. Its totient is φ = 21306654720.

The previous prime is 80290528321. The next prime is 80290528391. The reversal of 80290528380 is 8382509208.

80290528380 is a `hidden beast` number, since 8 + 0 + 2 + 90 + 528 + 38 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65973532 + ... + 65974748.

It is an arithmetic number, because the mean of its divisors is an integer number (1699552946).

Almost surely, 280290528380 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 80290528380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122367812112).

80290528380 is an abundant number, since it is smaller than the sum of its proper divisors (164445095844).

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

80290528380 is a wasteful number, since it uses less digits than its factorization.

80290528380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2716 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 80290528380 in words is "eighty billion, two hundred ninety million, five hundred twenty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 313 626 939 1171 1217 1252 1565 1878 2342 2434 2817 3130 3513 3651 3756 4684 4695 4868 5634 5855 6085 6260 7026 7302 9390 10539 10953 11268 11710 12170 14052 14085 14604 17565 18255 18780 21078 21906 23420 24340 28170 35130 36510 42156 43812 52695 54765 56340 70260 73020 105390 109530 210780 219060 366523 380921 733046 761842 1099569 1142763 1425107 1466092 1523684 1832615 1904605 2199138 2285526 2850214 3298707 3428289 3665230 3809210 4275321 4398276 4571052 5497845 5700428 5713815 6597414 6856578 7125535 7330460 7618420 8550642 10995690 11427630 12825963 13194828 13713156 14251070 16493535 17101284 17141445 21376605 21991380 22855260 25651926 28502140 32987070 34282890 42753210 51303852 64129815 65974140 68565780 85506420 128259630 256519260 446058491 892116982 1338175473 1784233964 2230292455 2676350946 4014526419 4460584910 5352701892 6690877365 8029052838 8921169820 13381754730 16058105676 20072632095 26763509460 40145264190 80290528380