Search a number
-
+
80154778000 = 24531131117529
BaseRepresentation
bin100101010100110011…
…0001101100110010000
321122220010100121111111
41022221212031212100
52303124110344000
6100453403023104
75535211241263
oct1125146154620
9248803317444
1080154778000
1130aa2312090
121364b80aa94
13773521772b
143c45548cda
152141d93cba
hex12a998d990

80154778000 has 160 divisors (see below), whose sum is σ = 218256030720. Its totient is φ = 28206720000.

The previous prime is 80154777991. The next prime is 80154778001. The reversal of 80154778000 is 87745108.

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

It is not an unprimeable number, because it can be changed into a prime (80154778001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 623236 + ... + 740764.

It is an arithmetic number, because the mean of its divisors is an integer number (1364100192).

Almost surely, 280154778000 is an apocalyptic number.

80154778000 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 80154778000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109128015360).

80154778000 is an abundant number, since it is smaller than the sum of its proper divisors (138101252720).

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

80154778000 is a wasteful number, since it uses less digits than its factorization.

80154778000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117594 (or 117578 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 40.

The spelling of 80154778000 in words is "eighty billion, one hundred fifty-four million, seven hundred seventy-eight thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 31 40 44 50 55 62 80 88 100 110 124 125 155 176 200 220 248 250 275 310 341 400 440 496 500 550 620 682 775 880 1000 1100 1240 1364 1375 1550 1705 2000 2200 2480 2728 2750 3100 3410 3875 4400 5456 5500 6200 6820 7750 8525 11000 12400 13640 15500 17050 22000 27280 31000 34100 42625 62000 68200 85250 117529 136400 170500 235058 341000 470116 587645 682000 940232 1175290 1292819 1880464 2350580 2585638 2938225 3643399 4701160 5171276 5876450 6464095 7286798 9402320 10342552 11752900 12928190 14573596 14691125 18216995 20685104 23505800 25856380 29147192 29382250 32320475 36433990 40077389 47011600 51712760 58294384 58764500 64640950 72867980 80154778 91084975 103425520 117529000 129281900 145735960 160309556 161602375 182169950 200386945 235058000 258563800 291471920 320619112 323204750 364339900 400773890 455424875 517127600 641238224 646409500 728679800 801547780 910849750 1001934725 1292819000 1457359600 1603095560 1821699500 2003869450 2585638000 3206191120 3643399000 4007738900 5009673625 7286798000 8015477800 10019347250 16030955600 20038694500 40077389000 80154778000