Search a number
-
+
21887827650 = 232521316192311
BaseRepresentation
bin10100011000100111…
…011011111011000010
32002111101210211221100
4110120213123323002
5324311240441100
614015524035230
71403254315413
oct243047337302
962441724840
1021887827650
119312120967
1242aa232b16
1320aa838c10
1410b8d0180a
15881872400
hex5189dbec2

21887827650 has 144 divisors (see below), whose sum is σ = 63395317440. Its totient is φ = 5382115200.

The previous prime is 21887827649. The next prime is 21887827697. The reversal of 21887827650 is 5672878812.

It is a super-2 number, since 2×218878276502 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9469995 + ... + 9472305.

It is an arithmetic number, because the mean of its divisors is an integer number (440245260).

Almost surely, 221887827650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21887827650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31697658720).

21887827650 is an abundant number, since it is smaller than the sum of its proper divisors (41507489790).

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

21887827650 is a wasteful number, since it uses less digits than its factorization.

21887827650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3961 (or 3953 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 21887827650 in words is "twenty-one billion, eight hundred eighty-seven million, eight hundred twenty-seven thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 195 225 234 325 390 450 585 650 975 1170 1619 1950 2311 2925 3238 4622 4857 5850 6933 8095 9714 11555 13866 14571 16190 20799 21047 23110 24285 29142 30043 34665 40475 41598 42094 48570 57775 60086 63141 69330 72855 80950 90129 103995 105235 115550 121425 126282 145710 150215 173325 180258 189423 207990 210470 242850 270387 300430 315705 346650 364275 378846 450645 519975 526175 540774 631410 728550 751075 901290 947115 1039950 1052350 1351935 1502150 1578525 1894230 2253225 2703870 3157050 3741509 4506450 4735575 6759675 7483018 9471150 11224527 13519350 18707545 22449054 33673581 37415090 48639617 56122635 67347162 93537725 97279234 112245270 145918851 168367905 187075450 243198085 280613175 291837702 336735810 437756553 486396170 561226350 729594255 841839525 875513106 1215990425 1459188510 1683679050 2188782765 2431980850 3647971275 4377565530 7295942550 10943913825 21887827650