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21888220327144 = 23101191241588503
BaseRepresentation
bin1001111101000001111111…
…00110001110110011101000
32212111111022201010122001021
410332200333212032303220
510332104033400432034
6114315150512502224
74416241335002623
oct476407746166350
985444281118037
1021888220327144
116a798188281a6
12255610084a974
13c2a086727442
14559577422dba
1527e5698ca6b4
hex13e83f98ece8

21888220327144 has 64 divisors (see below), whose sum is σ = 41836702279680. Its totient is φ = 10734276480000.

The previous prime is 21888220327121. The next prime is 21888220327151. The reversal of 21888220327144 is 44172302288812.

It is a junction number, because it is equal to n+sod(n) for n = 21888220327091 and 21888220327100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36898797 + ... + 37487299.

It is an arithmetic number, because the mean of its divisors is an integer number (653698473120).

Almost surely, 221888220327144 is an apocalyptic number.

It is an amenable number.

21888220327144 is a deficient number, since it is larger than the sum of its proper divisors (19948481952536).

21888220327144 is a wasteful number, since it uses less digits than its factorization.

21888220327144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589042 (or 589038 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 52.

The spelling of 21888220327144 in words is "twenty-one trillion, eight hundred eighty-eight billion, two hundred twenty million, three hundred twenty-seven thousand, one hundred forty-four".

Divisors: 1 2 4 8 101 191 202 241 382 404 482 764 808 964 1528 1928 19291 24341 38582 46031 48682 77164 92062 97364 154328 184124 194728 368248 588503 1177006 2354012 4649131 4708024 9298262 18596524 37193048 59438803 112404073 118877606 141829223 224808146 237755212 283658446 449616292 475510424 567316892 899232584 1134633784 11352811373 14324751523 22705622746 27089381593 28649503046 45411245492 54178763186 57299006092 90822490984 108357526372 114598012184 216715052744 2736027540893 5472055081786 10944110163572 21888220327144