Search a number
-
+
21823131991548 = 223192912832572513
BaseRepresentation
bin1001111011001000110000…
…00001111011110111111100
32212021021022120221121002010
410331210120001323313330
510330022233242212143
6114225224115531220
74411445361166356
oct475443001736774
985237276847063
1021823131991548
116a54158099308
1225455768b9b10
13c23bb2a501b4
14556360c760d6
1527ca0a5c2a33
hex13d91807bdfc

21823131991548 has 96 divisors (see below), whose sum is σ = 55492213996800. Its totient is φ = 6648688134144.

The previous prime is 21823131991547. The next prime is 21823131991579. The reversal of 21823131991548 is 84519913132812.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21823131991547) 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, 7196940 + ... + 9769452.

It is an arithmetic number, because the mean of its divisors is an integer number (578043895800).

Almost surely, 221823131991548 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 21823131991548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27746106998400).

21823131991548 is an abundant number, since it is smaller than the sum of its proper divisors (33669082005252).

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

21823131991548 is a wasteful number, since it uses less digits than its factorization.

21823131991548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2573851 (or 2573849 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 57.

The spelling of 21823131991548 in words is "twenty-one trillion, eight hundred twenty-three billion, one hundred thirty-one million, nine hundred ninety-one thousand, five hundred forty-eight".

Divisors: 1 2 3 4 6 12 19 29 38 57 58 76 87 114 116 174 228 348 551 1102 1283 1653 2204 2566 3306 3849 5132 6612 7698 15396 24377 37207 48754 73131 74414 97508 111621 146262 148828 223242 292524 446484 706933 1413866 2120799 2572513 2827732 4241598 5145026 7717539 8483196 10290052 15435078 30870156 48877747 74602877 97755494 146633241 149205754 195510988 223808631 293266482 298411508 447617262 586532964 895234524 1417454663 2834909326 3300534179 4252363989 5669818652 6601068358 8504727978 9901602537 13202136716 17009455956 19803205074 39606410148 62710149401 95715491191 125420298802 188130448203 191430982382 250840597604 287146473573 376260896406 382861964764 574292947146 752521792812 1148585894292 1818594332629 3637188665258 5455782997887 7274377330516 10911565995774 21823131991548