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22054011466552 = 231319193539910711
BaseRepresentation
bin1010000001110110110011…
…00001001111001100111000
32220002100020222102010211221
411000323121201033030320
510342313103413412202
6114523250100201424
74434230651304322
oct500733141171470
986070228363757
1022054011466552
11703306558708a
12258226b999274
13c3c8b86c2770
145635c40d8612
15283a1e996037
hex140ed984f338

22054011466552 has 128 divisors (see below), whose sum is σ = 47131943040000. Its totient is φ = 9590413271040.

The previous prime is 22054011466511. The next prime is 22054011466559. The reversal of 22054011466552 is 25566411045022.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22054011466499 and 22054011466508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22054011466559) 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, 2059000477 + ... + 2059011187.

It is an arithmetic number, because the mean of its divisors is an integer number (368218305000).

Almost surely, 222054011466552 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 22054011466552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23565971520000).

22054011466552 is an abundant number, since it is smaller than the sum of its proper divisors (25077931573448).

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

22054011466552 is a wasteful number, since it uses less digits than its factorization.

22054011466552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16341 (or 16337 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 43.

The spelling of 22054011466552 in words is "twenty-two trillion, fifty-four billion, eleven million, four hundred sixty-six thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 193 247 386 494 772 988 1544 1976 2509 3667 5018 5399 7334 10036 10711 10798 14668 20072 21422 21596 29336 42844 43192 47671 70187 85688 95342 102581 139243 140374 190684 203509 205162 278486 280748 381368 407018 410324 556972 561496 814036 820648 1042007 1113944 1333553 1628072 2067223 2084014 2645617 2667106 4134446 4168028 5291234 5334212 8268892 8336056 10582468 10668424 13546091 16537784 19798133 21164936 26873899 27092182 39277237 39596266 53747798 54184364 57828689 78554474 79192532 107495596 108368728 115657378 157108948 158385064 214991192 231314756 257375729 314217896 462629512 510604081 514751458 751772957 1021208162 1029502916 1098745091 1503545914 2042416324 2059005832 2197490182 3007091828 4084832648 4394980364 6014183656 8789960728 11160936977 14283686183 22321873954 28567372366 44643747908 57134744732 89287495816 114269489464 145092180701 212057802563 290184361402 424115605126 580368722804 848231210252 1160737445608 1696462420504 2756751433319 5513502866638 11027005733276 22054011466552