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16217223078342 = 231113173593097033
BaseRepresentation
bin1110101111111101110111…
…0100100010000111000110
32010102100111011022112002110
43223333131310202013012
54111200333102001332
654254031152321450
73262440622511046
oct353773564420706
963370434275073
1016217223078342
11519275a711310
12199b00b243286
1390837baa54b0
14400cbc58b726
151d1ca93de4cc
hexebfddd221c6

16217223078342 has 128 divisors (see below), whose sum is σ = 40458661125120. Its totient is φ = 4257551831040.

The previous prime is 16217223078319. The next prime is 16217223078347. The reversal of 16217223078342 is 24387032271261.

It is a junction number, because it is equal to n+sod(n) for n = 16217223078291 and 16217223078300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16217223078347) 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, 3687858 + ... + 6784890.

It is an arithmetic number, because the mean of its divisors is an integer number (316083290040).

Almost surely, 216217223078342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16217223078342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20229330562560).

16217223078342 is an abundant number, since it is smaller than the sum of its proper divisors (24241438046778).

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

16217223078342 is a wasteful number, since it uses less digits than its factorization.

16217223078342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3097438.

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 16217223078342 in words is "sixteen trillion, two hundred seventeen billion, two hundred twenty-three million, seventy-eight thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 13 17 22 26 33 34 39 51 66 78 102 143 187 221 286 359 374 429 442 561 663 718 858 1077 1122 1326 2154 2431 3949 4667 4862 6103 7293 7898 9334 11847 12206 14001 14586 18309 23694 28002 36618 51337 67133 79339 102674 134266 154011 158678 201399 238017 308022 402798 476034 872729 1745458 2618187 3097033 5236374 6194066 9291099 18582198 34067363 40261429 52649561 68134726 80522858 102202089 105299122 120784287 157948683 204404178 241568574 315897366 442875719 579145171 684444293 885751438 1111834847 1158290342 1328627157 1368888586 1737435513 2053332879 2223669694 2657254314 3335504541 3474871026 4106665758 6671009082 7528887223 12230183317 14453853011 15057774446 18901192399 22586661669 24460366634 28907706022 36690549951 37802384798 43361559033 45173323338 56703577197 73381099902 86723118066 113407154394 158992383121 207913116389 245715501187 317984766242 415826232778 476977149363 491431002374 623739349167 737146503561 953954298726 1247478698334 1474293007122 2702870513057 5405741026114 8108611539171 16217223078342