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13416837116430 = 23511419613158293
BaseRepresentation
bin1100001100111101100111…
…0011110111001000001110
31202111122012110002000221010
43003033121303313020032
53224310140300211210
644311335422350050
72553222505544406
oct303173163671016
952448173060833
1013416837116430
114303059859950
12160833372b326
13764282629a37
143455423c7806
151840092d0920
hexc33d9cf720e

13416837116430 has 128 divisors (see below), whose sum is σ = 35269220206080. Its totient is φ = 3239490101760.

The previous prime is 13416837116411. The next prime is 13416837116437. The reversal of 13416837116430 is 3461173861431.

It is a self number, because there is not a number n which added to its sum of digits gives 13416837116430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13416837116437) 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, 84680364 + ... + 84838656.

It is an arithmetic number, because the mean of its divisors is an integer number (275540782860).

Almost surely, 213416837116430 is an apocalyptic number.

13416837116430 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 13416837116430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17634610103040).

13416837116430 is an abundant number, since it is smaller than the sum of its proper divisors (21852383089650).

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

13416837116430 is a wasteful number, since it uses less digits than its factorization.

13416837116430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159346.

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 13416837116430 in words is "thirteen trillion, four hundred sixteen billion, eight hundred thirty-seven million, one hundred sixteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 419 613 838 1226 1257 1839 2095 2514 3065 3678 4190 4609 6130 6285 6743 9195 9218 12570 13486 13827 18390 20229 23045 27654 33715 40458 46090 67430 69135 101145 138270 158293 202290 256847 316586 474879 513694 770541 791465 949758 1284235 1541082 1582930 1741223 2374395 2568470 2825317 3482446 3852705 4748790 5223669 5650634 7705410 8475951 8706115 10447338 14126585 16951902 17412230 26118345 28253170 42379755 52236690 66324767 84759510 97033609 132649534 194067218 198974301 291100827 331623835 397948602 485168045 582201654 663247670 729572437 970336090 994871505 1067369699 1455504135 1459144874 1989743010 2134739398 2188717311 2911008270 3202109097 3647862185 4377434622 5336848495 6404218194 7295724370 10673696990 10943586555 16010545485 21887173110 32021090970 40657082171 81314164342 121971246513 203285410855 243942493026 406570821710 447227903881 609856232565 894455807762 1219712465130 1341683711643 2236139519405 2683367423286 4472279038810 6708418558215 13416837116430