Search a number
-
+
60205000000 = 265712041
BaseRepresentation
bin111000000100011111…
…110110010101000000
312202101210022212212211
4320010133312111000
51441244440000000
643354030031504
74230636025225
oct700437662500
9182353285784
1060205000000
1123595175652
12b802648594
1358a6075272
142cb1bb794c
1518757487ba
hexe047f6540

60205000000 has 112 divisors (see below), whose sum is σ = 149348641104. Its totient is φ = 24080000000.

The previous prime is 60204999983. The next prime is 60205000019. The reversal of 60205000000 is 50206.

It can be written as a sum of positive squares in 8 ways, for example, as 49807526976 + 10397473024 = 223176^2 + 101968^2 .

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, 4993980 + ... + 5006020.

Almost surely, 260205000000 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 60205000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74674320552).

60205000000 is an abundant number, since it is smaller than the sum of its proper divisors (89143641104).

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

60205000000 is an frugal number, since it uses more digits than its factorization.

60205000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12088 (or 12048 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

Adding to 60205000000 its reverse (50206), we get a palindrome (60205050206).

The spelling of 60205000000 in words is "sixty billion, two hundred five million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12041 12500 15625 20000 24082 25000 31250 40000 48164 50000 60205 62500 78125 96328 100000 120410 125000 156250 192656 200000 240820 250000 301025 312500 385312 481640 500000 602050 625000 770624 963280 1000000 1204100 1250000 1505125 1926560 2408200 2500000 3010250 3853120 4816400 5000000 6020500 7525625 9632800 12041000 15051250 19265600 24082000 30102500 37628125 48164000 60205000 75256250 96328000 120410000 150512500 188140625 240820000 301025000 376281250 481640000 602050000 752562500 940703125 1204100000 1505125000 1881406250 2408200000 3010250000 3762812500 6020500000 7525625000 12041000000 15051250000 30102500000 60205000000