Search a number
-
+
20014444646652 = 22319375694169603
BaseRepresentation
bin1001000110011111110011…
…10111010001000011111100
32121212100210001121120202210
410203033321313101003330
510110404040312143102
6110322301533020420
74133665411342221
oct443177167210374
977770701546683
1020014444646652
116417095255945
1222b2b25024710
13b2247aa66a31
144d29c07db948
1524a94d04b36c
hex1233f9dd10fc

20014444646652 has 96 divisors (see below), whose sum is σ = 50575628678400. Its totient is φ = 6138721562112.

The previous prime is 20014444646641. The next prime is 20014444646681. The reversal of 20014444646652 is 25664644441002.

It is a super-2 number, since 2×200144446466522 (a number of 27 digits) contains 22 as substring.

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, 2715283 + ... + 6884885.

It is an arithmetic number, because the mean of its divisors is an integer number (526829465400).

Almost surely, 220014444646652 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 20014444646652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25287814339200).

20014444646652 is an abundant number, since it is smaller than the sum of its proper divisors (30561184031748).

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

20014444646652 is a wasteful number, since it uses less digits than its factorization.

20014444646652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4170235 (or 4170233 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 48.

The spelling of 20014444646652 in words is "twenty trillion, fourteen billion, four hundred forty-four million, six hundred forty-six thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 12 19 37 38 57 74 76 111 114 148 222 228 444 569 703 1138 1406 1707 2109 2276 2812 3414 4218 6828 8436 10811 21053 21622 32433 42106 43244 63159 64866 84212 126318 129732 252636 400007 800014 1200021 1600028 2400042 4169603 4800084 8339206 12508809 16678412 25017618 50035236 79222457 154275311 158444914 237667371 308550622 316889828 462825933 475334742 617101244 925651866 950669484 1851303732 2372504107 2931230909 4745008214 5862461818 7117512321 8793692727 9490016428 11724923636 14235024642 17587385454 28470049284 35174770908 45077578033 87782651959 90155156066 135232734099 175565303918 180310312132 263347955877 270465468198 351130607836 526695911754 540930936396 1053391823508 1667870387221 3335740774442 5003611161663 6671481548884 10007222323326 20014444646652