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21150023044352 = 287179139105967
BaseRepresentation
bin1001100111100010111111…
…00111000100110100000000
32202212220220110201012220212
410303301133213010310000
510233010221344404402
6112552104135053252
74312016200430606
oct463613747046400
982786813635825
1021150023044352
1168147466a06a4
122457023b11228
13ba5591839a27
14531949133876
1526a26222e952
hex133c5f9c4d00

21150023044352 has 144 divisors (see below), whose sum is σ = 43666276147200. Its totient is φ = 10219937495040.

The previous prime is 21150023044351. The next prime is 21150023044399. The reversal of 21150023044352 is 25344032005112.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21150023044351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199537673 + ... + 199643639.

It is an arithmetic number, because the mean of its divisors is an integer number (303238028800).

Almost surely, 221150023044352 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 21150023044352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21833138073600).

21150023044352 is an abundant number, since it is smaller than the sum of its proper divisors (22516253102848).

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

21150023044352 is a wasteful number, since it uses less digits than its factorization.

21150023044352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106272 (or 106258 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 21150023044352 its reverse (25344032005112), we get a palindrome (46494055049464).

The spelling of 21150023044352 in words is "twenty-one trillion, one hundred fifty billion, twenty-three million, forty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 71 79 128 139 142 158 256 278 284 316 556 568 632 1112 1136 1264 2224 2272 2528 4448 4544 5056 5609 8896 9088 9869 10112 10981 11218 17792 18176 19738 20224 21962 22436 35584 39476 43924 44872 78952 87848 89744 105967 157904 175696 179488 211934 315808 351392 358976 423868 631616 702784 717952 779651 847736 1263232 1405568 1435904 1559302 1695472 2526464 2811136 3118604 3390944 6237208 6781888 7523657 8371393 12474416 13563776 14729413 15047314 16742786 24948832 27127552 29458826 30094628 33485572 49897664 58917652 60189256 66971144 99795328 117835304 120378512 133942288 199590656 235670608 240757024 267884576 471341216 481514048 535769152 594368903 942682432 963028096 1045788323 1071538304 1163623627 1188737806 1885364864 1926056192 2091576646 2143076608 2327247254 2377475612 3770729728 4183153292 4654494508 4754951224 8366306584 9308989016 9509902448 16732613168 18617978032 19019804896 33465226336 37235956064 38039609792 66930452672 74471912128 76079219584 82617277517 133860905344 148943824256 152158439168 165234555034 267721810688 297887648512 330469110068 660938220136 1321876440272 2643752880544 5287505761088 10575011522176 21150023044352