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5345975592 = 2333531273677
BaseRepresentation
bin1001111101010010…
…10001110100101000
3111210120101200212000
410332221101310220
541422032204332
62242250451000
7246323020446
oct47651216450
914716350760
105345975592
1122a3733651
121052433a60
13672736089
1438a001b96
152144e7b7c
hex13ea51d28

5345975592 has 128 divisors (see below), whose sum is σ = 15253401600. Its totient is φ = 1734130944.

The previous prime is 5345975561. The next prime is 5345975617. The reversal of 5345975592 is 2955795435.

5345975592 is a `hidden beast` number, since 5 + 3 + 45 + 9 + 7 + 5 + 592 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1452058 + ... + 1455734.

It is an arithmetic number, because the mean of its divisors is an integer number (119167200).

Almost surely, 25345975592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5345975592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7626700800).

5345975592 is an abundant number, since it is smaller than the sum of its proper divisors (9907426008).

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

5345975592 is a wasteful number, since it uses less digits than its factorization.

5345975592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3872 (or 3862 counting only the distinct ones).

The product of its digits is 8505000, while the sum is 54.

The square root of 5345975592 is about 73116.1787294714. The cubic root of 5345975592 is about 1748.5403438891.

The spelling of 5345975592 in words is "five billion, three hundred forty-five million, nine hundred seventy-five thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 106 108 127 159 212 216 254 318 381 424 477 508 636 762 954 1016 1143 1272 1431 1524 1908 2286 2862 3048 3429 3677 3816 4572 5724 6731 6858 7354 9144 11031 11448 13462 13716 14708 20193 22062 26924 27432 29416 33093 40386 44124 53848 60579 66186 80772 88248 99279 121158 132372 161544 181737 194881 198558 242316 264744 363474 389762 397116 466979 484632 584643 726948 779524 794232 933958 1169286 1400937 1453896 1559048 1753929 1867916 2338572 2801874 3507858 3735832 4202811 4677144 5261787 5603748 7015716 8405622 10523574 11207496 12608433 14031432 16811244 21047148 24749887 25216866 33622488 42094296 49499774 50433732 74249661 98999548 100867464 148499322 197999096 222748983 296998644 445497966 593997288 668246949 890995932 1336493898 1781991864 2672987796 5345975592