Search a number
-
+
19662006528 = 28336742457
BaseRepresentation
bin10010010011111100…
…100110100100000000
31212202021112102101000
4102103330212210000
5310231433202103
613011013012000
71264146204123
oct222374464400
955667472330
1019662006528
11837a76557a
123988924000
131b146666b8
14d474623ba
157a1254aa3
hex493f26900

19662006528 has 144 divisors (see below), whose sum is σ = 59013223360. Its totient is φ = 6456029184.

The previous prime is 19662006491. The next prime is 19662006577. The reversal of 19662006528 is 82560026691.

19662006528 is a `hidden beast` number, since 19 + 6 + 620 + 0 + 6 + 5 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×196620065282 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 441876 + ... + 484332.

Almost surely, 219662006528 is an apocalyptic number.

19662006528 is a gapful number since it is divisible by the number (18) 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 19662006528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29506611680).

19662006528 is an abundant number, since it is smaller than the sum of its proper divisors (39351216832).

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

19662006528 is an equidigital number, since it uses as much as digits as its factorization.

19662006528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42549 (or 42529 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 19662006528 in words is "nineteen billion, six hundred sixty-two million, six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 67 72 96 108 128 134 144 192 201 216 256 268 288 384 402 432 536 576 603 768 804 864 1072 1152 1206 1608 1728 1809 2144 2304 2412 3216 3456 3618 4288 4824 6432 6912 7236 8576 9648 12864 14472 17152 19296 25728 28944 38592 42457 51456 57888 77184 84914 115776 127371 154368 169828 231552 254742 339656 382113 463104 509484 679312 764226 1018968 1146339 1358624 1528452 2037936 2292678 2717248 2844619 3056904 4075872 4585356 5434496 5689238 6113808 8151744 8533857 9170712 10868992 11378476 12227616 16303488 17067714 18341424 22756952 24455232 25601571 32606976 34135428 36682848 45513904 48910464 51203142 68270856 73365696 76804713 91027808 97820928 102406284 136541712 146731392 153609426 182055616 204812568 273083424 293462784 307218852 364111232 409625136 546166848 614437704 728222464 819250272 1092333696 1228875408 1638500544 2184667392 2457750816 3277001088 4915501632 6554002176 9831003264 19662006528