Search a number
-
+
21999964611192 = 23341193116399607
BaseRepresentation
bin1010000000010010001000…
…00100110110001001111000
32212220011202100201102022020
411000021010010312021320
510340421411420024232
6114442351052354440
74430305426515411
oct500110404661170
985804670642266
1021999964611192
117012150537777
1225738a7775a20
13c37784407389
14560b38138808
15282409bc2e2c
hex140244136278

21999964611192 has 128 divisors (see below), whose sum is σ = 56682561922560. Its totient is φ = 7111199047680.

The previous prime is 21999964611077. The next prime is 21999964611227. The reversal of 21999964611192 is 29111646999912.

It is a Smith number, since the sum of its digits (69) 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 31 ways as a sum of consecutive naturals, for example, 220817853 + ... + 220917459.

It is an arithmetic number, because the mean of its divisors is an integer number (442832515020).

Almost surely, 221999964611192 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 21999964611192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28341280961280).

21999964611192 is an abundant number, since it is smaller than the sum of its proper divisors (34682597311368).

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

21999964611192 is a wasteful number, since it uses less digits than its factorization.

21999964611192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101013 (or 101009 counting only the distinct ones).

The product of its digits is 34012224, while the sum is 69.

The spelling of 21999964611192 in words is "twenty-one trillion, nine hundred ninety-nine billion, nine hundred sixty-four million, six hundred eleven thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 193 246 328 386 492 579 772 984 1158 1163 1544 2316 2326 3489 4632 4652 6978 7913 9304 13956 15826 23739 27912 31652 47478 47683 63304 94956 95366 99607 143049 189912 190732 199214 224459 286098 298821 381464 398428 448918 572196 597642 673377 796856 897836 1144392 1195284 1346754 1795672 2390568 2693508 4083887 5387016 8167774 9202819 12251661 16335548 18405638 19224151 24503322 27608457 32671096 36811276 38448302 49006644 55216914 57672453 73622552 76896604 98013288 110433828 115344906 115842941 153793208 220867656 230689812 231685882 347528823 461379624 463371764 695057646 788190191 926743528 1390115292 1576380382 2364570573 2780230584 3152760764 4729141146 4749560581 6305521528 9458282292 9499121162 14248681743 18916564584 18998242324 22357687613 28497363486 37996484648 44715375226 56994726972 67073062839 89430750452 113989453944 134146125678 178861500904 268292251356 536584502712 916665192133 1833330384266 2749995576399 3666660768532 5499991152798 7333321537064 10999982305596 21999964611192