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5142719592 = 2333232933533
BaseRepresentation
bin1001100101000011…
…11010110001101000
3111021101221020001000
410302201322301220
541013014011332
62210150155000
7241304252403
oct46241726150
914241836030
105142719592
1121a9a2738a
12bb6352a60
1363c5aba5a
1436b012d3a
15201748b7c
hex13287ac68

5142719592 has 128 divisors (see below), whose sum is σ = 14961542400. Its totient is φ = 1633648896.

The previous prime is 5142719587. The next prime is 5142719597. The reversal of 5142719592 is 2959172415.

5142719592 is a `hidden beast` number, since 5 + 1 + 42 + 7 + 19 + 592 = 666.

It is an interprime number because it is at equal distance from previous prime (5142719587) and next prime (5142719597).

It is not an unprimeable number, because it can be changed into a prime (5142719597) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1453858 + ... + 1457390.

It is an arithmetic number, because the mean of its divisors is an integer number (116887050).

Almost surely, 25142719592 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 5142719592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7480771200).

5142719592 is an abundant number, since it is smaller than the sum of its proper divisors (9818822808).

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

5142719592 is a wasteful number, since it uses less digits than its factorization.

5142719592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3864 (or 3854 counting only the distinct ones).

The product of its digits is 226800, while the sum is 45.

The square root of 5142719592 is about 71712.7575261194. The cubic root of 5142719592 is about 1726.0933590223.

The spelling of 5142719592 in words is "five billion, one hundred forty-two million, seven hundred nineteen thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 293 414 552 586 621 828 879 1172 1242 1656 1758 2344 2484 2637 3516 3533 4968 5274 6739 7032 7066 7911 10548 10599 13478 14132 15822 20217 21096 21198 26956 28264 31644 31797 40434 42396 53912 60651 63288 63594 80868 81259 84792 95391 121302 127188 161736 162518 181953 190782 242604 243777 254376 325036 363906 381564 485208 487554 650072 727812 731331 763128 975108 1035169 1455624 1462662 1950216 2070338 2193993 2925324 3105507 4140676 4387986 5850648 6211014 8281352 8775972 9316521 12422028 17551944 18633042 23808887 24844056 27949563 37266084 47617774 55899126 71426661 74532168 95235548 111798252 142853322 190471096 214279983 223596504 285706644 428559966 571413288 642839949 857119932 1285679898 1714239864 2571359796 5142719592