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21374443203252 = 223191491152754583
BaseRepresentation
bin1001101110000101000000…
…00110000010101010110100
32210200101011200211111202220
410313002200012002222310
510300144324430001002
6113243141134002340
74334152425340266
oct467024006025264
983611150744686
1021374443203252
1168a0939a596a7
1224926159463b0
13bc07a8204369
1453c758581b36
15270ee94db7bc
hex1370a0182ab4

21374443203252 has 96 divisors (see below), whose sum is σ = 52856525568000. Its totient is φ = 6703818878592.

The previous prime is 21374443203101. The next prime is 21374443203263. The reversal of 21374443203252 is 25230234447312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 391567953 + ... + 391622535.

It is an arithmetic number, because the mean of its divisors is an integer number (550588808000).

Almost surely, 221374443203252 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 21374443203252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26428262784000).

21374443203252 is an abundant number, since it is smaller than the sum of its proper divisors (31482082364748).

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

21374443203252 is a wasteful number, since it uses less digits than its factorization.

21374443203252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66285 (or 66283 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 42.

The spelling of 21374443203252 in words is "twenty-one trillion, three hundred seventy-four billion, four hundred forty-three million, two hundred three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 149 228 298 447 596 894 1788 2831 5662 8493 11324 11527 16986 23054 33972 34581 46108 54583 69162 109166 138324 163749 218332 219013 327498 438026 654996 657039 876052 1037077 1314078 1717523 2074154 2628156 3111231 3435046 4148308 5152569 6222462 6870092 8132867 10305138 12444924 16265734 20610276 24398601 32531468 32632937 48797202 65265874 97594404 97898811 130531748 154524473 195797622 309048946 391595244 463573419 618097892 629178241 927146838 1258356482 1854293676 1887534723 2516712964 3775069446 7550138892 11954386579 23908773158 35863159737 47817546316 71726319474 93747557909 143452638948 187495115818 281242673727 374990231636 562485347454 1124970694908 1781203600271 3562407200542 5343610800813 7124814401084 10687221601626 21374443203252