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20005746271264 = 2513173011993923
BaseRepresentation
bin1001000110001111100110…
…11001100110010000100000
32121211112022212002022221101
410203013303121212100200
510110233232021140024
6110314302444404144
74133240020355215
oct443076331462040
977745285068841
1020005746271264
116413431248756
1222b12b7b46654
13b216c2932b50
144d23d749db0c
1524a5de59ec44
hex1231f3666420

20005746271264 has 96 divisors (see below), whose sum is σ = 44913059210880. Its totient is φ = 8689897869312.

The previous prime is 20005746271249. The next prime is 20005746271331. The reversal of 20005746271264 is 46217264750002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212954607 + ... + 213048529.

It is an arithmetic number, because the mean of its divisors is an integer number (467844366780).

Almost surely, 220005746271264 is an apocalyptic number.

It is an amenable number.

20005746271264 is an abundant number, since it is smaller than the sum of its proper divisors (24907312939616).

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

20005746271264 is a wasteful number, since it uses less digits than its factorization.

20005746271264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124082 (or 124074 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 46.

The spelling of 20005746271264 in words is "twenty trillion, five billion, seven hundred forty-six million, two hundred seventy-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 884 1768 3536 7072 30119 60238 93923 120476 187846 240952 375692 391547 481904 512023 751384 783094 963808 1024046 1220999 1502768 1566188 1596691 2048092 2441998 3005536 3132376 3193382 4096184 4883996 6264752 6386764 6656299 8192368 9767992 12529504 12773528 13312598 16384736 19535984 20756983 25547056 26625196 39071968 41513966 51094112 53250392 83027932 106500784 166055864 213001568 332111728 664223456 2828866837 5657733674 11315467348 22630934696 36775268881 45261869392 48090736229 73550537762 90523738784 96181472458 147101075524 192362944916 294202151048 384725889832 588404302096 625179570977 769451779664 1176808604192 1250359141954 1538903559328 2500718283908 5001436567816 10002873135632 20005746271264