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23355632144 = 2413917312241
BaseRepresentation
bin10101110000000110…
…101010101000010000
32020021200202001011202
4111300012222220100
5340313020212034
614421320130332
71454526411665
oct256006525020
966250661152
1023355632144
1199a5711129
1246399069a8
132282967aa0
1411b7c23a6c
1591a65c47e
hex5701aaa10

23355632144 has 40 divisors (see below), whose sum is σ = 48741718872. Its totient is φ = 10777466880.

The previous prime is 23355632107. The next prime is 23355632171. The reversal of 23355632144 is 44123655332.

It can be written as a sum of positive squares in 4 ways, for example, as 1336633600 + 22018998544 = 36560^2 + 148388^2 .

It is a junction number, because it is equal to n+sod(n) for n = 23355632098 and 23355632107.

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 7 ways as a sum of consecutive naturals, for example, 1901864 + ... + 1914104.

Almost surely, 223355632144 is an apocalyptic number.

It is an amenable number.

23355632144 is an abundant number, since it is smaller than the sum of its proper divisors (25386086728).

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

23355632144 is a wasteful number, since it uses less digits than its factorization.

23355632144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21435 (or 21429 counting only the distinct ones).

The product of its digits is 259200, while the sum is 38.

The spelling of 23355632144 in words is "twenty-three billion, three hundred fifty-five million, six hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 9173 12241 18346 24482 36692 48964 73384 97928 119249 146768 159133 195856 238498 318266 476996 636532 953992 1273064 1907984 2546128 112286693 224573386 449146772 898293544 1459727009 1796587088 2919454018 5838908036 11677816072 23355632144