Search a number
-
+
20513951568 = 2433116170769
BaseRepresentation
bin10011000110101110…
…100000111101010000
31221221122121201021000
4103012232200331100
5314003032422233
613231325102000
71324232465655
oct230656407520
957848551230
1020513951568
118777655490
123b860b7900
131c1c0060a6
14dc866dc2c
15800e3cd13
hex4c6ba0f50

20513951568 has 160 divisors (see below), whose sum is σ = 65289571200. Its totient is φ = 6114355200.

The previous prime is 20513951543. The next prime is 20513951573. The reversal of 20513951568 is 86515931502.

20513951568 is a `hidden beast` number, since 2 + 0 + 5 + 1 + 39 + 51 + 568 = 666.

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, 254488 + ... + 325256.

It is an arithmetic number, because the mean of its divisors is an integer number (408059820).

Almost surely, 220513951568 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 20513951568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32644785600).

20513951568 is an abundant number, since it is smaller than the sum of its proper divisors (44775619632).

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

20513951568 is a wasteful number, since it uses less digits than its factorization.

20513951568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70858 (or 70846 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 20513951568 in words is "twenty billion, five hundred thirteen million, nine hundred fifty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 61 66 72 88 99 108 122 132 144 176 183 198 216 244 264 297 366 396 432 488 528 549 594 671 732 792 976 1098 1188 1342 1464 1584 1647 2013 2196 2376 2684 2928 3294 4026 4392 4752 5368 6039 6588 8052 8784 10736 12078 13176 16104 18117 24156 26352 32208 36234 48312 70769 72468 96624 141538 144936 212307 283076 289872 424614 566152 636921 778459 849228 1132304 1273842 1556918 1698456 1910763 2335377 2547684 3113836 3396912 3821526 4316909 4670754 5095368 6227672 7006131 7643052 8633818 9341508 10190736 12455344 12950727 14012262 15286104 17267636 18683016 21018393 25901454 28024524 30572208 34535272 37366032 38852181 42036786 47485999 51802908 56049048 69070544 77704362 84073572 94971998 103605816 112098096 116556543 142457997 155408724 168147144 189943996 207211632 233113086 284915994 310817448 336294288 379887992 427373991 466226172 569831988 621634896 759775984 854747982 932452344 1139663976 1282121973 1709495964 1864904688 2279327952 2564243946 3418991928 5128487892 6837983856 10256975784 20513951568