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16853414370 = 23513733671613
BaseRepresentation
bin11111011001000101…
…01011000111100010
31121111112200011020020
433230202223013202
5234003433224440
611424203054310
71134433441602
oct175442530742
947445604206
1016853414370
117169349731
123324211396
13178781b650
14b5c442c02
156898be3d0
hex3ec8ab1e2

16853414370 has 128 divisors (see below), whose sum is σ = 44304067584. Its totient is φ = 4078024704.

The previous prime is 16853414363. The next prime is 16853414377. The reversal of 16853414370 is 7341435861.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (16853414363) and next prime (16853414377).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (16853414377) 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, 10447684 + ... + 10449296.

It is an arithmetic number, because the mean of its divisors is an integer number (346125528).

Almost surely, 216853414370 is an apocalyptic number.

16853414370 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 16853414370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22152033792).

16853414370 is an abundant number, since it is smaller than the sum of its proper divisors (27450653214).

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

16853414370 is a wasteful number, since it uses less digits than its factorization.

16853414370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076.

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 16853414370 in words is "sixteen billion, eight hundred fifty-three million, four hundred fourteen thousand, three hundred seventy".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 73 78 130 146 195 219 365 367 390 438 730 734 949 1095 1101 1613 1835 1898 2190 2202 2847 3226 3670 4745 4771 4839 5505 5694 8065 9490 9542 9678 11010 14235 14313 16130 20969 23855 24195 26791 28470 28626 41938 47710 48390 53582 62907 71565 80373 104845 117749 125814 133955 143130 160746 209690 235498 267910 314535 348283 353247 401865 588745 591971 629070 696566 706494 803730 1044849 1177490 1183942 1530737 1741415 1766235 1775913 2089698 2959855 3061474 3482830 3532470 3551826 4592211 5224245 5919710 7653685 7695623 8879565 9184422 10448490 15307370 15391246 17759130 22961055 23086869 38478115 43213883 45922110 46173738 76956230 86427766 115434345 129641649 216069415 230868690 259283298 432138830 561780479 648208245 1123560958 1296416490 1685341437 2808902395 3370682874 5617804790 8426707185 16853414370