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2630417136 = 243534312399
BaseRepresentation
bin1001110011001000…
…1111101011110000
320210022121000221220
42130302033223300
520341341322021
61113002545040
7122120114424
oct23462175360
96708530856
102630417136
11112a890366
12614b08180
1332bc62a59
141ad4bcb84
15105ddccc6
hex9cc8faf0

2630417136 has 80 divisors (see below), whose sum is σ = 6942412800. Its totient is φ = 857908480.

The previous prime is 2630417129. The next prime is 2630417143. The reversal of 2630417136 is 6317140362.

It is an interprime number because it is at equal distance from previous prime (2630417129) and next prime (2630417143).

It is a junction number, because it is equal to n+sod(n) for n = 2630417097 and 2630417106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1095265 + ... + 1097663.

It is an arithmetic number, because the mean of its divisors is an integer number (86780160).

Almost surely, 22630417136 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 2630417136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3471206400).

2630417136 is an abundant number, since it is smaller than the sum of its proper divisors (4311995664).

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

2630417136 is a wasteful number, since it uses less digits than its factorization.

2630417136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2894 (or 2888 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 2630417136 is about 51287.5924176598. The cubic root of 2630417136 is about 1380.4103547560.

Adding to 2630417136 its reverse (6317140362), we get a palindrome (8947557498).

The spelling of 2630417136 in words is "two billion, six hundred thirty million, four hundred seventeen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 424 431 636 848 862 1272 1293 1724 2399 2544 2586 3448 4798 5172 6896 7197 9596 10344 14394 19192 20688 22843 28788 38384 45686 57576 68529 91372 115152 127147 137058 182744 254294 274116 365488 381441 508588 548232 762882 1017176 1033969 1096464 1525764 2034352 2067938 3051528 3101907 4135876 6103056 6203814 8271752 12407628 16543504 24815256 49630512 54800357 109600714 164401071 219201428 328802142 438402856 657604284 876805712 1315208568 2630417136