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56446057542 = 23721721275231
BaseRepresentation
bin110100100100011100…
…100111110001000110
312101200211012211012210
4310210130213301012
51411100142320132
641533030524250
74035533400300
oct644434476106
9171624184183
1056446057542
1121a36367536
12ab33806686
135427384b64
142a36892970
15170573cbcc
hexd24727c46

56446057542 has 144 divisors (see below), whose sum is σ = 140628123648. Its totient is φ = 15056375040.

The previous prime is 56446057513. The next prime is 56446057561. The reversal of 56446057542 is 24575064465.

It is a junction number, because it is equal to n+sod(n) for n = 56446057491 and 56446057500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10788067 + ... + 10793297.

It is an arithmetic number, because the mean of its divisors is an integer number (976584192).

Almost surely, 256446057542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56446057542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70314061824).

56446057542 is an abundant number, since it is smaller than the sum of its proper divisors (84182066106).

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

56446057542 is a wasteful number, since it uses less digits than its factorization.

56446057542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5411 (or 5387 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 48.

The spelling of 56446057542 in words is "fifty-six billion, four hundred forty-six million, fifty-seven thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 49 51 98 102 119 127 147 238 254 289 294 357 381 578 714 762 833 867 889 1666 1734 1778 2023 2159 2499 2667 4046 4318 4998 5231 5334 6069 6223 6477 10462 12138 12446 12954 14161 15113 15693 18669 28322 30226 31386 36617 36703 37338 42483 45339 73234 73406 84966 88927 90678 105791 109851 110109 177854 211582 219702 220218 256319 256921 266781 317373 512638 513842 533562 622489 634746 664337 768957 770763 1244978 1328674 1511759 1537914 1541526 1798447 1867467 1993011 3023518 3596894 3734934 3986022 4357423 4535277 4650359 5395341 8714846 9070554 9300718 10582313 10790682 11293729 13072269 13951077 21164626 22587458 26144538 27902154 31746939 32552513 33881187 63493878 65105026 67762374 74076191 79056103 97657539 148152382 158112206 191993393 195315078 222228573 237168309 383986786 444457146 474336618 553392721 575980179 1106785442 1151960358 1343953751 1660178163 2687907502 3320356326 4031861253 8063722506 9407676257 18815352514 28223028771 56446057542