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21446055396 = 2235163223607
BaseRepresentation
bin10011111110010010…
…001101010111100100
32001100121112111100000
4103332102031113210
5322410142233041
613504023221300
71356311314563
oct237622152744
961317474300
1021446055396
119105814927
1241a62a7830
13203a16020c
141076385bda
15857babbb6
hex4fe48d5e4

21446055396 has 144 divisors (see below), whose sum is σ = 56910823424. Its totient is φ = 7061315616.

The previous prime is 21446055377. The next prime is 21446055427. The reversal of 21446055396 is 69355064412.

21446055396 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 6 + 0 + 553 + 96 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35330925 + ... + 35331531.

Almost surely, 221446055396 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 21446055396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28455411712).

21446055396 is an abundant number, since it is smaller than the sum of its proper divisors (35464768028).

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

21446055396 is a wasteful number, since it uses less digits than its factorization.

21446055396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 21446055396 in words is "twenty-one billion, four hundred forty-six million, fifty-five thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 163 223 243 324 326 446 486 489 607 652 669 892 972 978 1214 1338 1467 1821 1956 2007 2428 2676 2934 3642 4014 4401 5463 5868 6021 7284 8028 8802 10926 12042 13203 16389 17604 18063 21852 24084 26406 32778 36126 36349 39609 49167 52812 54189 65556 72252 72698 79218 98334 98941 108378 109047 135361 145396 147501 158436 196668 197882 216756 218094 270722 295002 296823 327141 395764 406083 436188 541444 590004 593646 654282 812166 890469 981423 1187292 1218249 1308564 1624332 1780938 1962846 2436498 2671407 2944269 3561876 3654747 3925692 4872996 5342814 5888538 7309494 8014221 8832807 10685628 10964241 11777076 14618988 16028442 17665614 21928482 22063843 24042663 32056884 32892723 35331228 43856964 44127686 48085326 65785446 66191529 88255372 96170652 131570892 132383058 198574587 264766116 397149174 595723761 794298348 1191447522 1787171283 2382895044 3574342566 5361513849 7148685132 10723027698 21446055396