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80762657496 = 233192931197009
BaseRepresentation
bin100101100110111010…
…1000101101011011000
321201110111012002101220
41023031311011223120
52310400220014441
6101034000012040
75556242155563
oct1131565055330
9251414162356
1080762657496
1131284461a34
121379b301020
137801141941
143ca21834da
15217a41b466
hex12cdd45ad8

80762657496 has 128 divisors (see below), whose sum is σ = 226955520000. Its totient is φ = 23830087680.

The previous prime is 80762657471. The next prime is 80762657497. The reversal of 80762657496 is 69475626708.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80762657497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 311440 + ... + 508448.

It is an arithmetic number, because the mean of its divisors is an integer number (1773090000).

Almost surely, 280762657496 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 80762657496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113477760000).

80762657496 is an abundant number, since it is smaller than the sum of its proper divisors (146192862504).

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

80762657496 is a wasteful number, since it uses less digits than its factorization.

80762657496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197097 (or 197093 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 60.

The spelling of 80762657496 in words is "eighty billion, seven hundred sixty-two million, six hundred fifty-seven thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 19 24 29 31 38 57 58 62 76 87 93 114 116 124 152 174 186 228 232 248 348 372 456 551 589 696 744 899 1102 1178 1653 1767 1798 2204 2356 2697 3306 3534 3596 4408 4712 5394 6612 7068 7192 10788 13224 14136 17081 21576 34162 51243 68324 102486 136648 197009 204972 394018 409944 591027 788036 1182054 1576072 2364108 3743171 4728216 5713261 6107279 7486342 11229513 11426522 12214558 14972684 17139783 18321837 22459026 22853044 24429116 29945368 34279566 36643674 44918052 45706088 48858232 68559132 73287348 89836104 108551959 116038301 137118264 146574696 177111091 217103918 232076602 325655877 348114903 354222182 434207836 464153204 531333273 651311754 696229806 708444364 868415672 928306408 1062666546 1302623508 1392459612 1416888728 2125333092 2605247016 2784919224 3365110729 4250666184 6730221458 10095332187 13460442916 20190664374 26920885832 40381328748 80762657496