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20875147488 = 25321329192263
BaseRepresentation
bin10011011100010000…
…010111100011100000
31222212211021100220200
4103130100113203200
5320223014204423
613331230505200
71336206553206
oct233420274340
958784240820
1020875147488
118942527308
124067065200
131c78aac2a0
141020613076
158229d8d43
hex4dc4178e0

20875147488 has 144 divisors (see below), whose sum is σ = 66134970720. Its totient is φ = 6201603072.

The previous prime is 20875147477. The next prime is 20875147519. The reversal of 20875147488 is 88474157802.

20875147488 is a `hidden beast` number, since 2 + 0 + 87 + 514 + 7 + 48 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12445 + ... + 204707.

It is an arithmetic number, because the mean of its divisors is an integer number (459270630).

Almost surely, 220875147488 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 20875147488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33067485360).

20875147488 is an abundant number, since it is smaller than the sum of its proper divisors (45259823232).

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

20875147488 is a wasteful number, since it uses less digits than its factorization.

20875147488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192321 (or 192310 counting only the distinct ones).

The product of its (nonzero) digits is 4014080, while the sum is 54.

The spelling of 20875147488 in words is "twenty billion, eight hundred seventy-five million, one hundred forty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 29 32 36 39 48 52 58 72 78 87 96 104 116 117 144 156 174 208 232 234 261 288 312 348 377 416 464 468 522 624 696 754 928 936 1044 1131 1248 1392 1508 1872 2088 2262 2784 3016 3393 3744 4176 4524 6032 6786 8352 9048 12064 13572 18096 27144 36192 54288 108576 192263 384526 576789 769052 1153578 1538104 1730367 2307156 2499419 3076208 3460734 4614312 4998838 5575627 6152416 6921468 7498257 9228624 9997676 11151254 13842936 14996514 16726881 18457248 19995352 22302508 22494771 27685872 29993028 33453762 39990704 44605016 44989542 50180643 55371744 59986056 66907524 72483151 79981408 89210032 89979084 100361286 119972112 133815048 144966302 178420064 179958168 200722572 217449453 239944224 267630096 289932604 359916336 401445144 434898906 535260192 579865208 652348359 719832672 802890288 869797812 1159730416 1304696718 1605780576 1739595624 2319460832 2609393436 3479191248 5218786872 6958382496 10437573744 20875147488