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20035457376 = 2531137213859
BaseRepresentation
bin10010101010001101…
…001101000101100000
31220201022020200121220
4102222031031011200
5312013034114001
613112033215040
71306332402114
oct225215150540
956638220556
1020035457376
118551547740
123a71a01480
131b73b4092c
14d80cb5744
157c3e21c36
hex4aa34d160

20035457376 has 144 divisors (see below), whose sum is σ = 58971084480. Its totient is φ = 5906833920.

The previous prime is 20035457347. The next prime is 20035457417. The reversal of 20035457376 is 67375453002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1438735 + ... + 1452593.

It is an arithmetic number, because the mean of its divisors is an integer number (409521420).

Almost surely, 220035457376 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 20035457376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29485542240).

20035457376 is an abundant number, since it is smaller than the sum of its proper divisors (38935627104).

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

20035457376 is a wasteful number, since it uses less digits than its factorization.

20035457376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13957 (or 13912 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 42.

The spelling of 20035457376 in words is "twenty billion, thirty-five million, four hundred fifty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 66 74 88 96 111 132 148 176 222 264 296 352 407 444 528 592 814 888 1056 1184 1221 1369 1628 1776 2442 2738 3256 3552 4107 4884 5476 6512 8214 9768 10952 13024 13859 15059 16428 19536 21904 27718 30118 32856 39072 41577 43808 45177 55436 60236 65712 83154 90354 110872 120472 131424 152449 166308 180708 221744 240944 304898 332616 361416 443488 457347 481888 512783 609796 665232 722832 914694 1025566 1219592 1330464 1445664 1538349 1829388 2051132 2439184 3076698 3658776 4102264 4878368 5640613 6153396 7317552 8204528 11281226 12306792 14635104 16409056 16921839 18972971 22562452 24613584 33843678 37945942 45124904 49227168 56918913 67687356 75891884 90249808 113837826 135374712 151783768 180499616 208702681 227675652 270749424 303567536 417405362 455351304 541498848 607135072 626108043 834810724 910702608 1252216086 1669621448 1821405216 2504432172 3339242896 5008864344 6678485792 10017728688 20035457376