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80729498900 = 225229311812333
BaseRepresentation
bin100101100101111011…
…0100110010100010100
321201101011210110100202
41023023312212110110
52310313222431100
6101030413200032
75555360263361
oct1131366462424
9251334713322
1080729498900
1131267774436
1213790190018
1377c730207b
143c9b9d1468
15217756b7d5
hex12cbda6514

80729498900 has 72 divisors (see below), whose sum is σ = 176005156824. Its totient is φ = 32140556800.

The previous prime is 80729498881. The next prime is 80729498909. The reversal of 80729498900 is 989492708.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 689167504 + 80040331396 = 26252^2 + 282914^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80729498909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34602134 + ... + 34604466.

It is an arithmetic number, because the mean of its divisors is an integer number (2444516067).

Almost surely, 280729498900 is an apocalyptic number.

It is an amenable number.

80729498900 is an abundant number, since it is smaller than the sum of its proper divisors (95275657924).

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

80729498900 is a wasteful number, since it uses less digits than its factorization.

80729498900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3821 (or 3814 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 56.

The spelling of 80729498900 in words is "eighty billion, seven hundred twenty-nine million, four hundred ninety-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 293 586 1172 1181 1465 2333 2362 2930 4666 4724 5860 5905 7325 9332 11665 11810 14650 23330 23620 29300 29525 46660 58325 59050 116650 118100 233300 346033 683569 692066 1367138 1384132 1730165 2734276 2755273 3417845 3460330 5510546 6835690 6920660 8650825 11021092 13671380 13776365 17089225 17301650 27552730 34178450 34603300 55105460 68356900 68881825 137763650 275527300 807294989 1614589978 3229179956 4036474945 8072949890 16145899780 20182374725 40364749450 80729498900