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950401435452 = 223743216273761
BaseRepresentation
bin11011101010010000101…
…01110000011100111100
310100212011002222021202220
431311020111300130330
5111032410231413302
62004335225045340
7125443555624020
oct15651025603474
93325132867686
10950401435452
11337076919287
1213423b626850
136b8127508b1
1433ddd172380
1519ac726a4bc
hexdd4857073c

950401435452 has 144 divisors (see below), whose sum is σ = 2596999249152. Its totient is φ = 264994813440.

The previous prime is 950401435441. The next prime is 950401435469. The reversal of 950401435452 is 254534104059.

950401435452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 252697252 + ... + 252701012.

It is an arithmetic number, because the mean of its divisors is an integer number (18034717008).

Almost surely, 2950401435452 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 950401435452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298499624576).

950401435452 is an abundant number, since it is smaller than the sum of its proper divisors (1646597813700).

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

950401435452 is a wasteful number, since it uses less digits than its factorization.

950401435452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5488 (or 5443 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 950401435452 in words is "nine hundred fifty billion, four hundred one million, four hundred thirty-five thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 129 172 258 301 516 602 903 1204 1627 1806 1849 3254 3612 3698 3761 4881 5547 6508 7396 7522 9762 11094 11283 11389 12943 15044 19524 22188 22566 22778 25886 26327 34167 38829 45132 45556 51772 52654 68334 69961 77658 78981 105308 136668 139922 155316 157962 161723 209883 279844 315924 323446 419766 485169 489727 646892 839532 970338 979454 1132061 1469181 1940676 1958908 2264122 2938362 3008323 3396183 4528244 5876724 6016646 6119147 6792366 6954089 9024969 12033292 12238294 13584732 13908178 18049938 18357441 20862267 21058261 24476588 27816356 36099876 36714882 41724534 42116522 42834029 48678623 63174783 73429764 83449068 84233044 85668058 97357246 126349566 128502087 146035869 171336116 194714492 252699132 257004174 263123321 292071738 514008348 526246642 584143476 789369963 1052493284 1578739926 1841863247 3157479852 3683726494 5525589741 7367452988 11051179482 11314302803 22102358964 22628605606 33942908409 45257211212 67885816818 79200119621 135771633636 158400239242 237600358863 316800478484 475200717726 950401435452