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43648054315152 = 24371511847465781
BaseRepresentation
bin10011110110010100110101…
…10001011100100010010000
312201112201020221201111000220
421323022122301130202100
521210112203401041102
6232455350032513040
712123316322066040
oct1173123261344220
9181481227644026
1043648054315152
11129a9043838591
124a8b3510ab780
131b47cbc686a71
14aac8117c9720
1550a5bce3e1bc
hex27b29ac5c890

43648054315152 has 160 divisors (see below), whose sum is σ = 129789610266624. Its totient is φ = 12381550272000.

The previous prime is 43648054315111. The next prime is 43648054315163. The reversal of 43648054315152 is 25151345084634.

It is a junction number, because it is equal to n+sod(n) for n = 43648054315095 and 43648054315104.

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, 93476502 + ... + 93942282.

Almost surely, 243648054315152 is an apocalyptic number.

43648054315152 is a gapful number since it is divisible by the number (42) 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 43648054315152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64894805133312).

43648054315152 is an abundant number, since it is smaller than the sum of its proper divisors (86141555951472).

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

43648054315152 is a wasteful number, since it uses less digits than its factorization.

43648054315152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467797 (or 467791 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 51.

Adding to 43648054315152 its reverse (25151345084634), we get a palindrome (68799399399786).

The spelling of 43648054315152 in words is "forty-three trillion, six hundred forty-eight billion, fifty-four million, three hundred fifteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 151 168 302 336 453 604 906 1057 1208 1812 1847 2114 2416 3171 3624 3694 4228 5541 6342 7248 7388 8456 11082 12684 12929 14776 16912 22164 25368 25858 29552 38787 44328 50736 51716 77574 88656 103432 155148 206864 278897 310296 465781 557794 620592 836691 931562 1115588 1397343 1673382 1863124 1952279 2231176 2794686 3260467 3346764 3726248 3904558 4462352 5589372 5856837 6520934 6693528 7452496 7809116 9781401 11178744 11713674 13041868 13387056 15618232 19562802 22357488 23427348 26083736 31236464 39125604 46854696 52167472 70332931 78251208 93709392 140665862 156502416 210998793 281331724 421997586 492330517 562663448 843995172 860297507 984661034 1125326896 1476991551 1687990344 1720595014 1969322068 2580892521 2953983102 3375980688 3441190028 3938644136 5161785042 5907966204 6022082549 6882380056 7877288272 10323570084 11815932408 12044165098 13764760112 18066247647 20647140168 23631864816 24088330196 36132495294 41294280336 48176660392 72264990588 96353320784 129904923557 144529981176 259809847114 289059962352 389714770671 519619694228 779429541342 909334464899 1039239388456 1558859082684 1818668929798 2078478776912 2728003394697 3117718165368 3637337859596 5456006789394 6235436330736 7274675719192 10912013578788 14549351438384 21824027157576 43648054315152