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426162340016 = 247232918713049
BaseRepresentation
bin1100011001110010100…
…00010100000010110000
31111201222222121221112222
412030321100110002300
523440240024340031
6523435401540212
742534462056540
oct6147120240260
91451888557488
10426162340016
11154809592706
126a714aa4668
13312579115ca
14168aaa75320
15b143667e7b
hex63394140b0

426162340016 has 160 divisors (see below), whose sum is σ = 1019506176000. Its totient is φ = 168530503680.

The previous prime is 426162340001. The next prime is 426162340067. The reversal of 426162340016 is 610043261624.

It is a super-2 number, since 2×4261623400162 (a number of 24 digits) contains 22 as substring.

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, 139769660 + ... + 139772708.

It is an arithmetic number, because the mean of its divisors is an integer number (6371913600).

Almost surely, 2426162340016 is an apocalyptic number.

426162340016 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426162340016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509753088000).

426162340016 is an abundant number, since it is smaller than the sum of its proper divisors (593343835984).

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

426162340016 is a wasteful number, since it uses less digits than its factorization.

426162340016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4987 (or 4981 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The spelling of 426162340016 in words is "four hundred twenty-six billion, one hundred sixty-two million, three hundred forty thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 23 28 29 46 56 58 92 112 116 161 184 203 232 322 368 406 464 644 667 812 1288 1334 1624 1871 2576 2668 3049 3248 3742 4669 5336 6098 7484 9338 10672 12196 13097 14968 18676 21343 24392 26194 29936 37352 42686 43033 48784 52388 54259 70127 74704 85372 86066 88421 104776 108518 140254 170744 172132 176842 209552 217036 280508 301231 341488 344264 353684 379813 434072 490889 561016 602462 618947 688528 707368 759626 868144 981778 1122032 1204924 1237894 1247957 1414736 1519252 1963556 2033683 2409848 2475788 2495914 3038504 3927112 4067366 4819696 4951576 4991828 5704679 6077008 7854224 8134732 8735699 9903152 9983656 11409358 14235781 16269464 17471398 19967312 22818716 28471562 32538928 34942796 39932753 45637432 56943124 69885592 79865506 91274864 113886248 131207617 139771184 159731012 165435691 227772496 262415234 319462024 330871382 524830468 638924048 661742764 918453319 1049660936 1158049837 1323485528 1836906638 2099321872 2316099674 2646971056 3673813276 3805020893 4632199348 7347626552 7610041786 9264398696 14695253104 15220083572 18528797392 26635146251 30440167144 53270292502 60880334288 106540585004 213081170008 426162340016