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5460573800 = 23521110723197
BaseRepresentation
bin1010001010111100…
…11011111001101000
3112002120000220001002
411011132123321220
542140401330200
62301503014132
7252214053143
oct50536337150
915076026032
105460573800
112352395a10
12108489a348
136903bb376
1439b31305a
1521e5d2bd5
hex14579be68

5460573800 has 96 divisors (see below), whose sum is σ = 13980042720. Its totient is φ = 1967020800.

The previous prime is 5460573779. The next prime is 5460573809. The reversal of 5460573800 is 83750645.

It is not an unprimeable number, because it can be changed into a prime (5460573809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223802 + ... + 246998.

It is an arithmetic number, because the mean of its divisors is an integer number (145625445).

Almost surely, 25460573800 is an apocalyptic number.

5460573800 is a gapful number since it is divisible by the number (50) 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 5460573800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6990021360).

5460573800 is an abundant number, since it is smaller than the sum of its proper divisors (8519468920).

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

5460573800 is a wasteful number, since it uses less digits than its factorization.

5460573800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23331 (or 23322 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The square root of 5460573800 is about 73895.6954091373. The cubic root of 5460573800 is about 1760.9462241474.

The spelling of 5460573800 in words is "five billion, four hundred sixty million, five hundred seventy-three thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 107 110 200 214 220 275 428 440 535 550 856 1070 1100 1177 2140 2200 2354 2675 4280 4708 5350 5885 9416 10700 11770 21400 23197 23540 29425 46394 47080 58850 92788 115985 117700 185576 231970 235400 255167 463940 510334 579925 927880 1020668 1159850 1275835 2041336 2319700 2482079 2551670 4639400 4964158 5103340 6379175 9928316 10206680 12410395 12758350 19856632 24820790 25516700 27302869 49641580 51033400 54605738 62051975 99283160 109211476 124103950 136514345 218422952 248207900 273028690 496415800 546057380 682571725 1092114760 1365143450 2730286900 5460573800