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5134337334 = 2337231513911
BaseRepresentation
bin1001100100000011…
…11100010100110110
3111020211011100202000
410302001330110312
541003342243314
62205250400130
7241143101340
oct46201742466
914224140660
105134337334
1121a52216a5
12bb3590046
1363a935639
14369c70290
15200b40209
hex13207c536

5134337334 has 128 divisors (see below), whose sum is σ = 13700136960. Its totient is φ = 1393524000.

The previous prime is 5134337333. The next prime is 5134337359. The reversal of 5134337334 is 4337334315.

5134337334 is a `hidden beast` number, since 513 + 43 + 3 + 73 + 34 = 666.

It is a super-2 number, since 2×51343373342 = 52722839718612455112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5134337333) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1310839 + ... + 1314749.

It is an arithmetic number, because the mean of its divisors is an integer number (107032320).

Almost surely, 25134337334 is an apocalyptic number.

5134337334 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5134337334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6850068480).

5134337334 is an abundant number, since it is smaller than the sum of its proper divisors (8565799626).

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

5134337334 is a wasteful number, since it uses less digits than its factorization.

5134337334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4103 (or 4097 counting only the distinct ones).

The product of its digits is 136080, while the sum is 36.

The square root of 5134337334 is about 71654.2904088792. The cubic root of 5134337334 is about 1725.1550469332.

The spelling of 5134337334 in words is "five billion, one hundred thirty-four million, three hundred thirty-seven thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 126 138 151 161 189 207 302 322 378 414 453 483 621 906 966 1057 1242 1359 1449 2114 2718 2898 3171 3473 3911 4077 4347 6342 6946 7822 8154 8694 9513 10419 11733 19026 20838 23466 24311 27377 28539 31257 35199 48622 54754 57078 62514 70398 72933 82131 89953 93771 105597 145866 164262 179906 187542 211194 218799 246393 269859 437598 492786 539718 590561 629671 656397 739179 809577 1181122 1259342 1312794 1478358 1619154 1771683 1889013 2428731 3543366 3778026 4133927 4857462 5315049 5667039 8267854 10630098 11334078 12401781 13582903 15945147 17001117 24803562 27165806 31890294 34002234 37205343 40748709 74410686 81497418 95080321 111616029 122246127 190160642 223232058 244492254 285240963 366738381 570481926 733476762 855722889 1711445778 2567168667 5134337334