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1055279543824 = 241123726312
BaseRepresentation
bin11110101101100111000…
…11111111011000010000
310201212212020122012201001
433112303203333120100
5114242203030400244
62124442210551344
7136145545056562
oct17266343773020
93655766565631
101055279543824
113775a5878400
1215062ab98554
1378687a81c9c
143910c005332
151c6b48805d4
hexf5b38ff610

1055279543824 has 135 divisors (see below), whose sum is σ = 2313422519373. Its totient is φ = 465968764800.

The previous prime is 1055279543809. The next prime is 1055279543827. The reversal of 1055279543824 is 4283459725501.

It is a happy number.

The square root of 1055279543824 is 1027268.

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

It can be written as a sum of positive squares in only one way, i.e., 944278627600 + 111000916224 = 971740^2 + 333168^2 .

It is a super-2 number, since 2×10552795438242 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1055279543827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1672391989 + ... + 1672392619.

Almost surely, 21055279543824 is an apocalyptic number.

1055279543824 is the 1027268-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1055279543824

1055279543824 is an abundant number, since it is smaller than the sum of its proper divisors (1258142975549).

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

1055279543824 is an frugal number, since it uses more digits than its factorization.

1055279543824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 55.

The spelling of 1055279543824 in words is "one trillion, fifty-five billion, two hundred seventy-nine million, five hundred forty-three thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 37 44 74 88 121 148 176 242 296 407 484 592 631 814 968 1262 1369 1628 1936 2524 2738 3256 4477 5048 5476 6512 6941 8954 10096 10952 13882 15059 17908 21904 23347 27764 30118 35816 46694 55528 60236 71632 76351 93388 111056 120472 152702 165649 186776 240944 256817 305404 331298 373552 398161 513634 610808 662596 796322 863839 1027268 1221616 1325192 1592644 1727678 2054536 2650384 2824987 3185288 3455356 4109072 4379771 5649974 6370576 6910712 8759542 9502229 11299948 13821424 14731957 17519084 19004458 22599896 29463914 35038168 38008916 45199792 48177481 58927828 70076336 76017832 96354962 104524519 117855656 152035664 162051527 192709924 209049038 235711312 324103054 385419848 418098076 545082409 648206108 770839696 836196152 1090164818 1296412216 1672392304 1782566797 2180329636 2592824432 3565133594 4360659272 5995906499 7130267188 8721318544 11991812998 14260534376 23983625996 28521068752 47967251992 65954971489 95934503984 131909942978 263819885956 527639771912 1055279543824