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5305515444 = 2233157312899
BaseRepresentation
bin1001111000011101…
…11011110110110100
3111200202021002222000
410330032323312310
541331202443234
62234243335300
7245322065025
oct47416736664
914622232860
105305515444
112282909309
121040981530
1366723ac68
143848acc4c
15210ba4899
hex13c3bbdb4

5305515444 has 48 divisors (see below), whose sum is σ = 13842696000. Its totient is φ = 1757235168.

The previous prime is 5305515419. The next prime is 5305515487. The reversal of 5305515444 is 4445155035.

5305515444 is a `hidden beast` number, since 53 + 0 + 551 + 54 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5305515399 and 5305515408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139494 + ... + 173405.

It is an arithmetic number, because the mean of its divisors is an integer number (288389500).

Almost surely, 25305515444 is an apocalyptic number.

5305515444 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5305515444 is an abundant number, since it is smaller than the sum of its proper divisors (8537180556).

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

5305515444 is a wasteful number, since it uses less digits than its factorization.

5305515444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313069 (or 313061 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The square root of 5305515444 is about 72838.9692678308. The cubic root of 5305515444 is about 1744.1179872235.

The spelling of 5305515444 in words is "five billion, three hundred five million, five hundred fifteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 157 314 471 628 942 1413 1884 2826 4239 5652 8478 16956 312899 625798 938697 1251596 1877394 2816091 3754788 5632182 8448273 11264364 16896546 33793092 49125143 98250286 147375429 196500572 294750858 442126287 589501716 884252574 1326378861 1768505148 2652757722 5305515444