Search a number
-
+
21436525923584 = 281743341333563
BaseRepresentation
bin1001101111111000101001…
…00000110100110100000000
32210220022102100102110201012
410313330110200310310000
510302204001114023314
6113331445402100052
74341511044633032
oct467742440646400
983808370373635
1021436525923584
1169151a8042332
1224a26611aa628
13bc65c02ac235
145417678a3c52
1527292e9e193e
hex137f14834d00

21436525923584 has 144 divisors (see below), whose sum is σ = 46374934681152. Its totient is φ = 9849997000704.

The previous prime is 21436525923569. The next prime is 21436525923613. The reversal of 21436525923584 is 48532952563412.

It is a happy number.

It is a congruent number.

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, 638678387 + ... + 638711949.

It is an arithmetic number, because the mean of its divisors is an integer number (322048157508).

Almost surely, 221436525923584 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 21436525923584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23187467340576).

21436525923584 is an abundant number, since it is smaller than the sum of its proper divisors (24938408757568).

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

21436525923584 is a wasteful number, since it uses less digits than its factorization.

21436525923584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37052 (or 37038 counting only the distinct ones).

The product of its digits is 62208000, while the sum is 59.

The spelling of 21436525923584 in words is "twenty-one trillion, four hundred thirty-six billion, five hundred twenty-five million, nine hundred twenty-three thousand, five hundred eighty-four".

Divisors: 1 2 4 8 16 17 32 34 43 64 68 86 128 136 172 256 272 344 544 688 731 1088 1376 1462 2176 2752 2924 3413 4352 5504 5848 6826 11008 11696 13652 23392 27304 33563 46784 54608 58021 67126 93568 109216 116042 134252 146759 187136 218432 232084 268504 293518 436864 464168 537008 570571 587036 873728 928336 1074016 1141142 1174072 1443209 1856672 2148032 2282284 2348144 2494903 2886418 3713344 4296064 4564568 4696288 4989806 5772836 7426688 8592128 9129136 9392576 9979612 11545672 14853376 18258272 18785152 19959224 23091344 24534553 36516544 37570304 39918448 46182688 49069106 73033088 79836896 92365376 98138212 114550519 146066176 159673792 184730752 196276424 229101038 319347584 369461504 392552848 458202076 638695168 785105696 916404152 1570211392 1832808304 1947358823 3140422784 3665616608 3894717646 4925672317 6280845568 7331233216 7789435292 9851344634 14662466432 15578870584 19702689268 29324932864 31157741168 39405378536 62315482336 78810757072 83736429389 124630964672 157621514144 167472858778 249261929344 315243028288 334945717556 498523858688 630486056576 669891435112 1260972113152 1339782870224 2679565740448 5359131480896 10718262961792 21436525923584