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11663722640 = 245416135801
BaseRepresentation
bin10101101110011011…
…00100100010010000
31010002212100111112102
422313031210202100
5142341403111030
65205214015532
7562016002163
oct126715444220
933085314472
1011663722640
114a4595a4a9
1223161a75a8
13113b5a473b
147c90c3ada
15483e97c45
hex2b7364890

11663722640 has 80 divisors (see below), whose sum is σ = 27829687536. Its totient is φ = 4543488000.

The previous prime is 11663722621. The next prime is 11663722649. The reversal of 11663722640 is 4622736611.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1686909184 + 9976813456 = 41072^2 + 99884^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 11663722594 and 11663722603.

It is not an unprimeable number, because it can be changed into a prime (11663722649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2007740 + ... + 2013540.

Almost surely, 211663722640 is an apocalyptic number.

11663722640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11663722640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13914843768).

11663722640 is an abundant number, since it is smaller than the sum of its proper divisors (16165964896).

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

11663722640 is a wasteful number, since it uses less digits than its factorization.

11663722640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6468 (or 6462 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The spelling of 11663722640 in words is "eleven billion, six hundred sixty-three million, seven hundred twenty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 613 656 820 1226 1640 2452 3065 3280 4904 5801 6130 9808 11602 12260 23204 24520 25133 29005 46408 49040 50266 58010 92816 100532 116020 125665 201064 232040 237841 251330 402128 464080 475682 502660 951364 1005320 1189205 1902728 2010640 2378410 3556013 3805456 4756820 7112026 9513640 14224052 17780065 19027280 28448104 35560130 56896208 71120260 142240520 145796533 284481040 291593066 583186132 728982665 1166372264 1457965330 2332744528 2915930660 5831861320 11663722640