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21917219604 = 22372173170729
BaseRepresentation
bin10100011010010111…
…100011101100010100
32002120110010010010020
4110122113203230110
5324341302011404
614022454025140
71404062202300
oct243227435424
962513103106
1021917219604
119327776535
1242b80481b0
1320b395a1c7
1410bcb92d00
1588422aed9
hex51a5e3b14

21917219604 has 144 divisors (see below), whose sum is σ = 65021806080. Its totient is φ = 5703505920.

The previous prime is 21917219603. The next prime is 21917219617. The reversal of 21917219604 is 40691271912.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21917219603) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 274512 + ... + 345240.

It is an arithmetic number, because the mean of its divisors is an integer number (451540320).

Almost surely, 221917219604 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 21917219604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32510903040).

21917219604 is an abundant number, since it is smaller than the sum of its proper divisors (43104586476).

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

21917219604 is a wasteful number, since it uses less digits than its factorization.

21917219604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70798 (or 70789 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The spelling of 21917219604 in words is "twenty-one billion, nine hundred seventeen million, two hundred nineteen thousand, six hundred four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 31 34 42 49 51 62 68 84 93 98 102 119 124 147 186 196 204 217 238 294 357 372 434 476 527 588 651 714 833 868 1054 1302 1428 1519 1581 1666 2108 2499 2604 3038 3162 3332 3689 4557 4998 6076 6324 7378 9114 9996 11067 14756 18228 22134 25823 44268 51646 70729 77469 103292 141458 154938 212187 282916 309876 424374 495103 848748 990206 1202393 1485309 1980412 2192599 2404786 2970618 3465721 3607179 4385198 4809572 5941236 6577797 6931442 7214358 8416751 8770396 10397163 13155594 13862884 14428716 15348193 16833502 20794326 25250253 26311188 30696386 33667004 37274183 41588652 46044579 50500506 58917257 61392772 74548366 92089158 101001012 107437351 111822549 117834514 149096732 176751771 184178316 214874702 223645098 235669028 260919281 322312053 353503542 429749404 447290196 521838562 644624106 707007084 782757843 1043677124 1289248212 1565515686 1826434967 3131031372 3652869934 5479304901 7305739868 10958609802 21917219604