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942734653054012 = 227213481386998837
BaseRepresentation
bin1101011001011010011000010…
…0000111001101110000111100
311120121221112220212221120002201
43112112212010013031300330
51442031231032140212022
613141010153142401244
7402400221353414500
oct32626460407156074
94517845825846081
10942734653054012
11253425580675325
128989835ba30224
133160565b577080
14128b285a32a300
1573eca59b7a127
hex35969841cdc3c

942734653054012 has 144 divisors (see below), whose sum is σ = 2067665432162400. Its totient is φ = 372787431141888.

The previous prime is 942734653053983. The next prime is 942734653054069. The reversal of 942734653054012 is 210450356437249.

It is a happy number.

It is a super-5 number, since 5×9427346530540125 (a number of 76 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106680390858 + ... + 106680399694.

It is an arithmetic number, because the mean of its divisors is an integer number (14358787723350).

Almost surely, 2942734653054012 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 942734653054012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033832716081200).

942734653054012 is an abundant number, since it is smaller than the sum of its proper divisors (1124930779108388).

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

942734653054012 is a wasteful number, since it uses less digits than its factorization.

942734653054012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22380 (or 22371 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 55.

The spelling of 942734653054012 in words is "nine hundred forty-two trillion, seven hundred thirty-four billion, six hundred fifty-three million, fifty-four thousand, twelve".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 637 1274 2548 4813 8699 8837 9626 17398 17674 19252 33691 34796 35348 60893 61859 62569 67382 113087 114881 121786 123718 125138 134764 226174 229762 235837 243572 247436 250276 426251 433013 437983 452348 459524 471674 791609 804167 852502 866026 875966 943348 1583218 1608334 1705004 1732052 1751932 3065881 3166436 3216668 5541263 5629169 6131762 11082526 11258338 12263524 22165052 22516676 41868287 42532481 76873063 83736574 85064962 153746126 167473148 170129924 293078009 297727367 307492252 538111441 544287731 552922253 586156018 595454734 999349819 1076222882 1088575462 1105844506 1172312036 1190909468 1998699638 2051546063 2084091569 2152445764 2177150924 2211689012 3766780087 3810014117 3870455771 3997399276 4103092126 4168183138 6995448733 7533560174 7620028234 7740911542 8206184252 8336366276 13990897466 15067120348 15240056468 15481823084 26670098819 27093190397 27981794932 48968141131 53340197638 54186380794 97936282262 106680395276 108372761588 195872564524 369990052219 739980104438 1479960208876 2589930365533 4809870678847 5179860731066 9619741357694 10359721462132 18129512558731 19239482715388 33669094751929 36259025117462 67338189503858 72518050234924 134676379007716 235683663263503 471367326527006 942734653054012