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9406420710288 = 2437233402129881
BaseRepresentation
bin1000100011100001101001…
…0111010111001110010000
31020022020121122002002000220
42020320122113113032100
52213103322200212123
632001130000513040
71660406605544250
oct210703227271620
936266548062026
109406420710288
112aa72712a2168
12107b03b31b780
135330387a9b94
142473b78cd960
15114a38b12ce3
hex88e1a5d7390

9406420710288 has 160 divisors (see below), whose sum is σ = 27898397459712. Its totient is φ = 2675259187200.

The previous prime is 9406420710277. The next prime is 9406420710347. The reversal of 9406420710288 is 8820170246049.

It is a self number, because there is not a number n which added to its sum of digits gives 9406420710288.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314781108 + ... + 314810988.

Almost surely, 29406420710288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9406420710288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13949198729856).

9406420710288 is an abundant number, since it is smaller than the sum of its proper divisors (18491976749424).

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

9406420710288 is a wasteful number, since it uses less digits than its factorization.

9406420710288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34153 (or 34147 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 9406420710288 in words is "nine trillion, four hundred six billion, four hundred twenty million, seven hundred ten thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 233 336 466 699 932 1398 1631 1864 2796 3262 3728 4021 4893 5592 6524 8042 9786 11184 12063 13048 16084 19572 24126 26096 28147 29881 32168 39144 48252 56294 59762 64336 78288 84441 89643 96504 112588 119524 168882 179286 193008 209167 225176 239048 337764 358572 418334 450352 478096 627501 675528 717144 836668 936893 1255002 1351056 1434288 1673336 1873786 2510004 2810679 3346672 3747572 5020008 5621358 6558251 6962273 7495144 10040016 11242716 13116502 13924546 14990288 19674753 20886819 22485432 26233004 27849092 39349506 41773638 44970864 48735911 52466008 55698184 78699012 83547276 97471822 104932016 111396368 120151501 146207733 157398024 167094552 194943644 240303002 292415466 314796048 334189104 360454503 389887288 480606004 584830932 720909006 779774576 841060507 961212008 1169661864 1441818012 1682121014 1922424016 2339323728 2523181521 2883636024 3364242028 5046363042 5767272048 6728484056 10092726084 13456968112 20185452168 27995299733 40370904336 55990599466 83985899199 111981198932 167971798398 195967098131 223962397864 335943596796 391934196262 447924795728 587901294393 671887193592 783868392524 1175802588786 1343774387184 1567736785048 2351605177572 3135473570096 4703210355144 9406420710288