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1055524268480 = 26511557538357
BaseRepresentation
bin11110101110000100010…
…01100010100111000000
310201220111022010111211012
433113002021202213000
5114243203203042410
62124522352140052
7136154606150543
oct17270211424700
93656438114735
101055524268480
11377710a28690
12150698b37628
13786c6698486
143913270a85a
151c6cb0c1605
hexf5c22629c0

1055524268480 has 112 divisors (see below), whose sum is σ = 2746892018016. Its totient is φ = 383137198080.

The previous prime is 1055524268471. The next prime is 1055524268483. The reversal of 1055524268480 is 848624255501.

It is a happy number.

It is a super-2 number, since 2×10555242684802 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055524268483) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1691462 + ... + 2229818.

Almost surely, 21055524268480 is an apocalyptic number.

1055524268480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1055524268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373446009008).

1055524268480 is an abundant number, since it is smaller than the sum of its proper divisors (1691367749536).

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

1055524268480 is a wasteful number, since it uses less digits than its factorization.

1055524268480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538942 (or 538932 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 50.

The spelling of 1055524268480 in words is "one trillion, fifty-five billion, five hundred twenty-four million, two hundred sixty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 557 704 880 1114 1760 2228 2785 3520 4456 5570 6127 8912 11140 12254 17824 22280 24508 30635 35648 44560 49016 61270 89120 98032 122540 178240 196064 245080 392128 490160 538357 980320 1076714 1960640 2153428 2691785 4306856 5383570 5921927 8613712 10767140 11843854 17227424 21534280 23687708 29609635 34454848 43068560 47375416 59219270 86137120 94750832 118438540 172274240 189501664 236877080 299864849 379003328 473754160 599729698 947508320 1199459396 1499324245 1895016640 2398918792 2998648490 3298513339 4797837584 5997296980 6597026678 9595675168 11994593960 13194053356 16492566695 19191350336 23989187920 26388106712 32985133390 47978375840 52776213424 65970266780 95956751680 105552426848 131940533560 211104853696 263881067120 527762134240 1055524268480