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74207208100 = 2252272412
BaseRepresentation
bin100010100011100011…
…0000010001010100100
321002112121221202101211
41011013012002022210
52203434021124400
654031302001204
75234631601324
oct1050706021244
9232477852354
1074207208100
1129520041863
121246ba16204
136cc7c781bc
14383d6a7284
151de4b65dba
hex11471822a4

74207208100 has 27 divisors (see below), whose sum is σ = 161035553091. Its totient is φ = 29681793600.

The previous prime is 74207208067. The next prime is 74207208109. The reversal of 74207208100 is 180270247.

The square root of 74207208100 is 272410.

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 23315457636 + 50891750464 = 152694^2 + 225592^2 .

It is a super-2 number, since 2×742072081002 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (74207208109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2710480 + ... + 2737720.

Almost surely, 274207208100 is an apocalyptic number.

74207208100 is the 272410-th square number.

It is an amenable number.

74207208100 is an abundant number, since it is smaller than the sum of its proper divisors (86828344991).

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

74207208100 is an frugal number, since it uses more digits than its factorization.

74207208100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54496 (or 27248 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 31.

Adding to 74207208100 its reverse (180270247), we get a palindrome (74387478347).

The spelling of 74207208100 in words is "seventy-four billion, two hundred seven million, two hundred eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 27241 54482 108964 136205 272410 544820 681025 1362050 2724100 742072081 1484144162 2968288324 3710360405 7420720810 14841441620 18551802025 37103604050 74207208100