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16340450610 = 23511315927073
BaseRepresentation
bin11110011011111011…
…10111110100110010
31120011210102220020110
433031331313310302
5231431123404420
611301240322150
71115634352461
oct171575676462
946153386213
1016340450610
116a25838440
123200473356
1317054779b3
14b102749d8
15659844ee0
hex3cdf77d32

16340450610 has 128 divisors (see below), whose sum is σ = 44912517120. Its totient is φ = 3768422400.

The previous prime is 16340450603. The next prime is 16340450611. The reversal of 16340450610 is 1605404361.

It is a super-2 number, since 2×163404506102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (16340450611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 590034 + ... + 617106.

It is an arithmetic number, because the mean of its divisors is an integer number (350879040).

Almost surely, 216340450610 is an apocalyptic number.

16340450610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16340450610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22456258560).

16340450610 is an abundant number, since it is smaller than the sum of its proper divisors (28572066510).

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

16340450610 is a wasteful number, since it uses less digits than its factorization.

16340450610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27184.

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 16340450610 its reverse (1605404361), we get a palindrome (17945854971).

The spelling of 16340450610 in words is "sixteen billion, three hundred forty million, four hundred fifty thousand, six hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 59 62 66 93 110 118 155 165 177 186 295 310 330 341 354 465 590 649 682 885 930 1023 1298 1705 1770 1829 1947 2046 3245 3410 3658 3894 5115 5487 6490 9145 9735 10230 10974 18290 19470 20119 27073 27435 40238 54146 54870 60357 81219 100595 120714 135365 162438 201190 270730 297803 301785 406095 595606 603570 812190 839263 893409 1489015 1597307 1678526 1786818 2517789 2978030 3194614 4196315 4467045 4791921 5035578 7986535 8392630 8934090 9231893 9583842 12588945 15973070 17570377 18463786 23959605 25177890 27695679 35140754 46159465 47919210 49516517 52711131 55391358 87851885 92318930 99033034 105422262 138478395 148549551 175703770 247582585 263555655 276956790 297099102 495165170 527111310 544681687 742747755 1089363374 1485495510 1634045061 2723408435 3268090122 5446816870 8170225305 16340450610