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677780000000 = 285733889
BaseRepresentation
bin10011101110011101101…
…01100000110100000000
32101210110122122102222222
421313032311200310000
542101043140000000
61235211241350212
766653006641265
oct11671665406400
92353418572888
10677780000000
1124149915a834
12ab437198368
134bbb6b7a54c
1424b3a25726c
151296d4bda85
hex9dced60d00

677780000000 has 144 divisors (see below), whose sum is σ = 1691186100240. Its totient is φ = 271104000000.

The previous prime is 677779999999. The next prime is 677780000041. The reversal of 677780000000 is 87776.

It can be written as a sum of positive squares in 8 ways, for example, as 647548527616 + 30231472384 = 804704^2 + 173872^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19983056 + ... + 20016944.

Almost surely, 2677780000000 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 677780000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845593050120).

677780000000 is an abundant number, since it is smaller than the sum of its proper divisors (1013406100240).

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

677780000000 is an frugal number, since it uses more digits than its factorization.

677780000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33940 (or 33896 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 35.

Adding to 677780000000 its reverse (87776), we get a palindrome (677780087776).

The spelling of 677780000000 in words is "six hundred seventy-seven billion, seven hundred eighty million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 4000 5000 6250 6400 8000 10000 12500 15625 16000 20000 25000 31250 32000 33889 40000 50000 62500 67778 78125 80000 100000 125000 135556 156250 160000 169445 200000 250000 271112 312500 338890 400000 500000 542224 625000 677780 800000 847225 1000000 1084448 1250000 1355560 1694450 2000000 2168896 2500000 2711120 3388900 4000000 4236125 4337792 5000000 5422240 6777800 8472250 8675584 10000000 10844480 13555600 16944500 20000000 21180625 21688960 27111200 33889000 42361250 43377920 54222400 67778000 84722500 105903125 108444800 135556000 169445000 211806250 216889600 271112000 338890000 423612500 529515625 542224000 677780000 847225000 1059031250 1084448000 1355560000 1694450000 2118062500 2647578125 2711120000 3388900000 4236125000 5295156250 5422240000 6777800000 8472250000 10590312500 13555600000 16944500000 21180625000 27111200000 33889000000 42361250000 67778000000 84722500000 135556000000 169445000000 338890000000 677780000000