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60465040000 = 2754755813
BaseRepresentation
bin111000010011111111…
…110100101010000000
312210001220122021200221
4320103333310222000
51442313022240000
643435515352424
74240244234311
oct702377645200
9183056567627
1060465040000
1123708a36542
12b875752714
135917bc17a1
142cd8548608
15188d4b261a
hexe13ff4a80

60465040000 has 80 divisors (see below), whose sum is σ = 150524137170. Its totient is φ = 24185984000.

The previous prime is 60465039923. The next prime is 60465040001. The reversal of 60465040000 is 4056406.

It is a happy number.

60465040000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 7958067264 + 52506972736 = 89208^2 + 229144^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (60465040001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 297907 + ... + 457906.

Almost surely, 260465040000 is an apocalyptic number.

It is an amenable number.

60465040000 is an abundant number, since it is smaller than the sum of its proper divisors (90059097170).

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

60465040000 is an frugal number, since it uses more digits than its factorization.

60465040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755847 (or 755820 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 60465040000 its reverse (4056406), we get a palindrome (60469096406).

The spelling of 60465040000 in words is "sixty billion, four hundred sixty-five million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3200 4000 5000 8000 10000 16000 20000 40000 80000 755813 1511626 3023252 3779065 6046504 7558130 12093008 15116260 18895325 24186016 30232520 37790650 48372032 60465040 75581300 94476625 96744064 120930080 151162600 188953250 241860160 302325200 377906500 472383125 483720320 604650400 755813000 944766250 1209300800 1511626000 1889532500 2418601600 3023252000 3779065000 6046504000 7558130000 12093008000 15116260000 30232520000 60465040000