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2353638690 = 2325132011657
BaseRepresentation
bin1000110001001001…
…1010110100100010
320002000210020022100
42030102122310202
514310012414230
61025314351230
7112216412244
oct21422326442
96060706270
102353638690
11aa8627647
1255828b516
132b6805820
14184832094
15db969660
hex8c49ad22

2353638690 has 48 divisors (see below), whose sum is σ = 6590191608. Its totient is φ = 579356928.

The previous prime is 2353638689. The next prime is 2353638713. The reversal of 2353638690 is 968363532.

2353638690 is a `hidden beast` number, since 2 + 3 + 5 + 3 + 638 + 6 + 9 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2049101289 + 304537401 = 45267^2 + 17451^2 .

It is a super-2 number, since 2×23536386902 = 11079230166129832200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1004659 + ... + 1006998.

Almost surely, 22353638690 is an apocalyptic number.

2353638690 is an abundant number, since it is smaller than the sum of its proper divisors (4236552918).

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

2353638690 is a wasteful number, since it uses less digits than its factorization.

2353638690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2011683 (or 2011680 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The square root of 2353638690 is about 48514.3142793959. The cubic root of 2353638690 is about 1330.1887327095.

It can be divided in two parts, 23536 and 38690, that added together give a palindrome (62226).

The spelling of 2353638690 in words is "two billion, three hundred fifty-three million, six hundred thirty-eight thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 2011657 4023314 6034971 10058285 12069942 18104913 20116570 26151541 30174855 36209826 52303082 60349710 78454623 90524565 130757705 156909246 181049130 235363869 261515410 392273115 470727738 784546230 1176819345 2353638690