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20417313774 = 23111368334841
BaseRepresentation
bin10011000000111101…
…110111101111101110
31221200220210000010110
4103000331313233232
5313303313020044
613213553520450
71321650206064
oct230075675756
957626700113
1020417313774
118728050040
123b59873126
131c04c9ba70
14db98b6034
157e76ee6b9
hex4c0f77bee

20417313774 has 64 divisors (see below), whose sum is σ = 48045166848. Its totient is φ = 5702611200.

The previous prime is 20417313731. The next prime is 20417313811. The reversal of 20417313774 is 47731371402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 568594 + ... + 603434.

It is an arithmetic number, because the mean of its divisors is an integer number (750705732).

Almost surely, 220417313774 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20417313774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24022583424).

20417313774 is an abundant number, since it is smaller than the sum of its proper divisors (27627853074).

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

20417313774 is a wasteful number, since it uses less digits than its factorization.

20417313774 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35553.

The product of its (nonzero) digits is 98784, while the sum is 39.

The spelling of 20417313774 in words is "twenty billion, four hundred seventeen million, three hundred thirteen thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 683 858 1366 2049 4098 7513 8879 15026 17758 22539 26637 34841 45078 53274 69682 97669 104523 195338 209046 293007 383251 452933 586014 766502 905866 1149753 1358799 2299506 2717598 4982263 9964526 14946789 23796403 29893578 47592806 71389209 142778418 261760433 309353239 523520866 618706478 785281299 928059717 1570562598 1856119434 3402885629 6805771258 10208656887 20417313774