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21504100223532 = 22323312689934673
BaseRepresentation
bin1001110001110110100000…
…10000010100101000101100
32211010202211201101120200010
410320323100100110220230
510304310344124123112
6113422503001533220
74346422435666623
oct470732020245054
984122751346603
1021504100223532
116940923a69013
1224b377b7a4210
13bcca9c0101c4
14544b3828a6ba
152745871a163c
hex138ed0414a2c

21504100223532 has 96 divisors (see below), whose sum is σ = 54066927882240. Its totient is φ = 6632731607040.

The previous prime is 21504100223503. The next prime is 21504100223537. The reversal of 21504100223532 is 23532200140512.

It is a self number, because there is not a number n which added to its sum of digits gives 21504100223532.

It is not an unprimeable number, because it can be changed into a prime (21504100223537) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22539748 + ... + 23474420.

It is an arithmetic number, because the mean of its divisors is an integer number (563197165440).

Almost surely, 221504100223532 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 21504100223532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27033463941120).

21504100223532 is an abundant number, since it is smaller than the sum of its proper divisors (32562827658708).

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

21504100223532 is a wasteful number, since it uses less digits than its factorization.

21504100223532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937423 (or 937421 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 21504100223532 in words is "twenty-one trillion, five hundred four billion, one hundred million, two hundred twenty-three thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 31 46 62 69 92 93 124 138 186 276 372 713 1426 2139 2689 2852 4278 5378 8067 8556 10756 16134 32268 61847 83359 123694 166718 185541 247388 250077 333436 371082 500154 742164 934673 1000308 1869346 1917257 2804019 3738692 3834514 5608038 5751771 7669028 11216076 11503542 21497479 23007084 28974863 42994958 57949726 64492437 85989916 86924589 115899452 128984874 173849178 257969748 347698356 666421849 1332843698 1999265547 2513335697 2665687396 3998531094 5026671394 7540007091 7997062188 10053342788 15080014182 30160028364 57806721031 77913406607 115613442062 155826813214 173420163093 231226884124 233740219821 311653626428 346840326186 467480439642 693680652372 934960879284 1792008351961 3584016703922 5376025055883 7168033407844 10752050111766 21504100223532