Search a number
-
+
56914018163044 = 227423233472
BaseRepresentation
bin11001111000011010100111…
…10101011101100101100100
321110111221000210010100212021
430330031103311131211210
524424434402122204134
6321013534453432524
714662621266220000
oct1474152365354544
9243457023110767
1056914018163044
1117153110564749
12647239963b744
13259ac79839cb3
14100a920463700
1568a6e6b440b4
hex33c353d5d964

56914018163044 has 135 divisors (see below), whose sum is σ = 121500336456947. Its totient is φ = 23324241631152.

The previous prime is 56914018163039. The next prime is 56914018163053. The reversal of 56914018163044 is 44036181041965.

It is a happy number.

The square root of 56914018163044 is 7544138.

It is a perfect power (a square), and thus also a powerful number.

It is a junction number, because it is equal to n+sod(n) for n = 56914018162982 and 56914018163000.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 17004485379 + ... + 17004488725.

Almost surely, 256914018163044 is an apocalyptic number.

56914018163044 is the 7544138-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56914018163044

56914018163044 is an abundant number, since it is smaller than the sum of its proper divisors (64586318293903).

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

56914018163044 is an frugal number, since it uses more digits than its factorization.

56914018163044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6772 (or 3379 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 52.

The spelling of 56914018163044 in words is "fifty-six trillion, nine hundred fourteen billion, eighteen million, one hundred sixty-three thousand, forty-four".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 196 322 343 529 644 686 1058 1127 1372 2116 2254 2401 3347 3703 4508 4802 6694 7406 7889 9604 13388 14812 15778 23429 25921 31556 46858 51842 55223 76981 93716 103684 110446 153962 164003 181447 220892 307924 328006 362894 538867 656012 725788 1077734 1148021 1270129 1770563 2155468 2296042 2540258 3541126 3772069 4592084 5080516 7082252 7544138 8036147 11202409 12393941 15088276 16072294 22404818 24787882 26404483 32144588 44809636 49575764 52808966 78416863 86757587 105617932 156833726 173515174 184831381 257655407 313667452 347030348 369662762 515310814 548918041 607303109 739325524 1030621628 1097836082 1214606218 1803587849 2195672164 2429212436 3607175698 3842426287 4251121763 5926074361 7214351396 7684852574 8502243526 11852148722 12625114943 15369705148 17004487052 23704297444 25250229886 26896984009 41482520527 50500459772 53793968018 82965041054 88375804601 107587936036 165930082108 176751609202 290377643689 353503218404 580755287378 618630632207 1161510574756 1237261264414 2032643505823 2474522528828 4065287011646 8130574023292 14228504540761 28457009081522 56914018163044