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13434060654 = 2337172518329
BaseRepresentation
bin11001000001011101…
…10111111101101110
31021200020112222202000
430200232313331232
5210003104420104
610101014313130
7653623426410
oct144056677556
937606488660
1013434060654
1157741a4673
12272b0587a6
1313612aa621
149162789b0
155395e2639
hex320bb7f6e

13434060654 has 128 divisors (see below), whose sum is σ = 36273484800. Its totient is φ = 3597696000.

The previous prime is 13434060643. The next prime is 13434060691. The reversal of 13434060654 is 45606043431.

13434060654 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 40 + 606 + 5 + 4 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1608762 + ... + 1617090.

It is an arithmetic number, because the mean of its divisors is an integer number (283386600).

Almost surely, 213434060654 is an apocalyptic number.

13434060654 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13434060654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18136742400).

13434060654 is an abundant number, since it is smaller than the sum of its proper divisors (22839424146).

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

13434060654 is a wasteful number, since it uses less digits than its factorization.

13434060654 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8615 (or 8609 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 13434060654 in words is "thirteen billion, four hundred thirty-four million, sixty thousand, six hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 102 119 126 153 189 238 251 306 357 378 459 502 714 753 918 1071 1506 1757 2142 2259 3213 3514 4267 4518 5271 6426 6777 8329 8534 10542 12801 13554 15813 16658 24987 25602 29869 31626 38403 47439 49974 58303 59738 74961 76806 89607 94878 115209 116606 141593 149922 174909 179214 224883 230418 268821 283186 349818 424779 449766 524727 537642 806463 849558 991151 1049454 1274337 1574181 1612926 1982302 2090579 2548674 2973453 3148362 3823011 4181158 5946906 6271737 7646022 8920359 12543474 14634053 17840718 18815211 26761077 29268106 35539843 37630422 43902159 53522154 56445633 71079686 87804318 106619529 112891266 131706477 213239058 248778901 263412954 319858587 395119431 497557802 639717174 746336703 790238862 959575761 1492673406 1919151522 2239010109 4478020218 6717030327 13434060654