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1055334623200 = 255211139224953
BaseRepresentation
bin11110101101101101101…
…10000110011111100000
310201220000002021112101221
433112312312012133200
5114242311130420300
62124451455304424
7136150114201054
oct17266666063740
93656002245357
101055334623200
11377623978350
1215064551b114
13786962c8330
1439115461c64
151c6b961031a
hexf5b6d867e0

1055334623200 has 144 divisors (see below), whose sum is σ = 3026744307216. Its totient is φ = 354238156800.

The previous prime is 1055334623197. The next prime is 1055334623201. The reversal of 1055334623200 is 23264335501.

It is a super-2 number, since 2×10553346232002 (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 (1055334623201) 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 23 ways as a sum of consecutive naturals, for example, 4498077 + ... + 4726876.

It is an arithmetic number, because the mean of its divisors is an integer number (21019057689).

Almost surely, 21055334623200 is an apocalyptic number.

1055334623200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1055334623200 is an abundant number, since it is smaller than the sum of its proper divisors (1971409684016).

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

1055334623200 is a wasteful number, since it uses less digits than its factorization.

1055334623200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9224997 (or 9224984 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 34.

Adding to 1055334623200 its reverse (23264335501), we get a palindrome (1078598958701).

The spelling of 1055334623200 in words is "one trillion, fifty-five billion, three hundred thirty-four million, six hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 25 26 32 40 44 50 52 55 65 80 88 100 104 110 130 143 160 176 200 208 220 260 275 286 325 352 400 416 440 520 550 572 650 715 800 880 1040 1100 1144 1300 1430 1760 2080 2200 2288 2600 2860 3575 4400 4576 5200 5720 7150 8800 10400 11440 14300 22880 28600 57200 114400 9224953 18449906 36899812 46124765 73799624 92249530 101474483 119924389 147599248 184499060 202948966 230623825 239848778 295198496 368998120 405897932 461247650 479697556 507372415 599621945 737996240 811795864 922495300 959395112 1014744830 1199243890 1319168279 1475992480 1623591728 1844990600 1918790224 2029489660 2398487780 2536862075 2638336558 2998109725 3247183456 3689981200 3837580448 4058979320 4796975560 5073724150 5276673116 5996219450 6595841395 7379962400 8117958640 9593951120 10147448300 10553346232 11992438900 13191682790 16235917280 19187902240 20294896600 21106692464 23984877800 26383365580 32979206975 40589793200 42213384928 47969755600 52766731160 65958413950 81179586400 95939511200 105533462320 131916827900 211066924640 263833655800 527667311600 1055334623200