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5059342112 = 251137210499
BaseRepresentation
bin1001011011000111…
…10110111100100000
3111001121001012122012
410231203312330200
540330142421422
62154011132052
7236242461356
oct45543667440
914047035565
105059342112
112166959680
12b92444028
13628238276
1435dd0b7d6
151e92794e2
hex12d8f6f20

5059342112 has 72 divisors (see below), whose sum is σ = 11168766000. Its totient is φ = 2237333760.

The previous prime is 5059342109. The next prime is 5059342139. The reversal of 5059342112 is 2112439505.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 476639 + ... + 487137.

It is an arithmetic number, because the mean of its divisors is an integer number (155121750).

Almost surely, 25059342112 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 5059342112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5584383000).

5059342112 is an abundant number, since it is smaller than the sum of its proper divisors (6109423888).

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

5059342112 is a wasteful number, since it uses less digits than its factorization.

5059342112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10594 (or 10549 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 5059342112 is about 71129.0525172380. The cubic root of 5059342112 is about 1716.7142644462.

The spelling of 5059342112 in words is "five billion, fifty-nine million, three hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 37 44 74 88 148 176 296 352 407 592 814 1184 1369 1628 2738 3256 5476 6512 10499 10952 13024 15059 20998 21904 30118 41996 43808 60236 83992 115489 120472 167984 230978 240944 335968 388463 461956 481888 776926 923912 1553852 1847824 3107704 3695648 4273093 6215408 8546186 12430816 14373131 17092372 28746262 34184744 57492524 68369488 114985048 136738976 158104441 229970096 316208882 459940192 632417764 1264835528 2529671056 5059342112