Search a number
-
+
201021069710544 = 24331614315138443
BaseRepresentation
bin101101101101001111011101…
…011100111101010011010000
3222100202102111222102200022020
4231231033131130331103100
5202322012122321214134
61551311445441011440
760225202334541216
oct5555173534752320
9870672458380266
10201021069710544
1159062614274666
121a667291623b80
138822289739365
14378d686448cb6
151839045422b49
hexb6d3dd73d4d0

201021069710544 has 160 divisors (see below), whose sum is σ = 546108237692928. Its totient is φ = 63634465728000.

The previous prime is 201021069710501. The next prime is 201021069710567. The reversal of 201021069710544 is 445017960120102.

It is a junction number, because it is equal to n+sod(n) for n = 201021069710496 and 201021069710505.

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, 36551787 + ... + 41690229.

Almost surely, 2201021069710544 is an apocalyptic number.

201021069710544 is a gapful number since it is divisible by the number (24) 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 201021069710544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273054118846464).

201021069710544 is an abundant number, since it is smaller than the sum of its proper divisors (345087167982384).

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

201021069710544 is a wasteful number, since it uses less digits than its factorization.

201021069710544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5138977 (or 5138971 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 201021069710544 in words is "two hundred one trillion, twenty-one billion, sixty-nine million, seven hundred ten thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 61 62 93 122 124 183 186 244 248 366 372 431 488 496 732 744 862 976 1293 1464 1488 1724 1891 2586 2928 3448 3782 5172 5673 6896 7564 10344 11346 13361 15128 20688 22692 26291 26722 30256 40083 45384 52582 53444 78873 80166 90768 105164 106888 157746 160332 210328 213776 315492 320664 420656 630984 641328 815021 1261968 1630042 2445063 3260084 4890126 5138443 6520168 9780252 10276886 13040336 15415329 19560504 20553772 30830658 39121008 41107544 61661316 82215088 123322632 159291733 246645264 313445023 318583466 477875199 626890046 637166932 940335069 955750398 1253780092 1274333864 1880670138 1911500796 2214668933 2507560184 2548667728 3761340276 3823001592 4429337866 5015120368 6644006799 7522680552 7646003184 8858675732 9716795713 13288013598 15045361104 17717351464 19433591426 26576027196 29150387139 35434702928 38867182852 53152054392 58300774278 68654736923 77734365704 106304108784 116601548556 135094804913 137309473846 155468731408 205964210769 233203097112 270189609826 274618947692 405284414739 411928421538 466406194224 540379219652 549237895384 810568829478 823856843076 1080758439304 1098475790768 1621137658956 1647713686152 2161516878608 3242275317912 3295427372304 4187938952303 6484550635824 8375877904606 12563816856909 16751755809212 25127633713818 33503511618424 50255267427636 67007023236848 100510534855272 201021069710544