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64115304100 = 2252253212
BaseRepresentation
bin111011101101100100…
…011110011010100100
320010111022020220200121
4323231210132122210
52022302004212400
645242033251324
74426560043561
oct735544363244
9203438226617
1064115304100
1125211465a31
1210514103b44
13607a220283
14316325d868
151a03ba221a
hexeed91e6a4

64115304100 has 27 divisors (see below), whose sum is σ = 139135704771. Its totient is φ = 25645108800.

The previous prime is 64115304061. The next prime is 64115304119. The reversal of 64115304100 is 140351146.

The square root of 64115304100 is 253210.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2217844836 + 61897459264 = 47094^2 + 248792^2 .

It is a super-2 number, since 2×641153041002 (a number of 22 digits) contains 22 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2519440 + ... + 2544760.

Almost surely, 264115304100 is an apocalyptic number.

64115304100 is the 253210-th square number.

It is an amenable number.

64115304100 is an abundant number, since it is smaller than the sum of its proper divisors (75020400671).

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

64115304100 is an frugal number, since it uses more digits than its factorization.

64115304100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50656 (or 25328 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Multiplying 64115304100 by its sum of digits (25), we get a square (1602882602500 = 12660502).

64115304100 divided by its sum of digits (25) gives a square (2564612164 = 506422).

Adding to 64115304100 its reverse (140351146), we get a palindrome (64255655246).

The spelling of 64115304100 in words is "sixty-four billion, one hundred fifteen million, three hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 25321 50642 101284 126605 253210 506420 633025 1266050 2532100 641153041 1282306082 2564612164 3205765205 6411530410 12823060820 16028826025 32057652050 64115304100