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20063728746 = 2321761267263
BaseRepresentation
bin10010101011111001…
…000011010001101010
31220210021110000122200
4102223321003101222
5312042303304441
613114523201030
71310124610665
oct225371032152
956707400580
1020063728746
1185664a7406
123a7b376176
131b7995bb59
14d849546dc
157c66587b6
hex4abe4346a

20063728746 has 144 divisors (see below), whose sum is σ = 47674516032. Its totient is φ = 6075717120.

The previous prime is 20063728733. The next prime is 20063728747. The reversal of 20063728746 is 64782736002.

20063728746 is a `hidden beast` number, since 2 + 0 + 0 + 637 + 2 + 8 + 7 + 4 + 6 = 666.

It is a super-2 number, since 2×200637287462 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20063728747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 76287811 + ... + 76288073.

It is an arithmetic number, because the mean of its divisors is an integer number (331073028).

Almost surely, 220063728746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20063728746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23837258016).

20063728746 is an abundant number, since it is smaller than the sum of its proper divisors (27610787286).

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

20063728746 is a wasteful number, since it uses less digits than its factorization.

20063728746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 20063728746 in words is "twenty billion, sixty-three million, seven hundred twenty-eight thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 17 18 34 51 61 67 102 122 134 153 183 201 263 306 366 402 526 549 603 789 1037 1098 1139 1206 1578 2074 2278 2367 3111 3417 3721 4087 4471 4734 6222 6834 7442 8174 8942 9333 10251 11163 12261 13413 16043 17621 18666 20502 22326 24522 26826 32086 33489 35242 36783 40239 48129 52863 63257 66978 69479 73566 80478 96258 105726 126514 138958 144387 158589 189771 208437 249307 272731 288774 299557 317178 379542 416874 498614 545462 569313 599114 625311 747921 818193 898671 978623 1074881 1138626 1250622 1495842 1636386 1797342 1957246 2149762 2243763 2454579 2696013 2935869 3224643 4238219 4487526 4909158 5392026 5871738 6449286 8476438 8807607 9673929 12714657 16636591 17615214 18272977 19347858 25429314 33273182 36545954 38143971 49909773 54818931 65567741 76287942 99819546 109637862 131135482 149729319 164456793 196703223 299458638 328913586 393406446 590109669 1114651597 1180219338 2229303194 3343954791 6687909582 10031864373 20063728746