Search a number
-
+
80764762000 = 2453132238949
BaseRepresentation
bin100101100110111110…
…1000111011110010000
321201110122011000020111
41023031331013132100
52310401234341000
6101034113051104
75556266102266
oct1131575073620
9251418130214
1080764762000
113128566a09a
121379bb56a94
1378016ca800
143ca2570436
15217a6d4cba
hex12cdf47790

80764762000 has 120 divisors (see below), whose sum is σ = 211467882600. Its totient is φ = 29820710400.

The previous prime is 80764761953. The next prime is 80764762037. The reversal of 80764762000 is 26746708.

It can be written as a sum of positive squares in 12 ways, for example, as 79973577616 + 791184384 = 282796^2 + 28128^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218526 + ... + 457474.

It is an arithmetic number, because the mean of its divisors is an integer number (1762232355).

Almost surely, 280764762000 is an apocalyptic number.

80764762000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80764762000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105733941300).

80764762000 is an abundant number, since it is smaller than the sum of its proper divisors (130703120600).

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

80764762000 is a wasteful number, since it uses less digits than its factorization.

80764762000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238998 (or 238969 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The spelling of 80764762000 in words is "eighty billion, seven hundred sixty-four million, seven hundred sixty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 169 200 208 250 260 325 338 400 500 520 650 676 845 1000 1040 1300 1352 1625 1690 2000 2600 2704 3250 3380 4225 5200 6500 6760 8450 13000 13520 16900 21125 26000 33800 42250 67600 84500 169000 238949 338000 477898 955796 1194745 1911592 2389490 3106337 3823184 4778980 5973725 6212674 9557960 11947450 12425348 15531685 19115920 23894900 24850696 29868625 31063370 40382381 47789800 49701392 59737250 62126740 77658425 80764762 95579600 119474500 124253480 155316850 161529524 201911905 238949000 248506960 310633700 323059048 388292125 403823810 477898000 621267400 646118096 776584250 807647620 1009559525 1242534800 1553168500 1615295240 2019119050 3106337000 3230590480 4038238100 5047797625 6212674000 8076476200 10095595250 16152952400 20191190500 40382381000 80764762000