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134033354430552 = 233222317827468271
BaseRepresentation
bin11110011110011100010010…
…011110101001100001011000
3122120120110111220221121201200
4132132130102132221201120
5120032000302213234202
61153022023433114200
740142406320535423
oct3636342236514130
9576513456847650
10134033354430552
1139786254374185
121304868b258960
1359a33a26a4c55
14251536b2509ba
1510767ad8d2e1c
hex79e7127a9858

134033354430552 has 96 divisors (see below), whose sum is σ = 364656068474880. Its totient is φ = 44474846074560.

The previous prime is 134033354430541. The next prime is 134033354430583. The reversal of 134033354430552 is 255034453330431.

134033354430552 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 3 + 3 + 3 + 54 + 43 + 0 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 134033354430498 and 134033354430507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 285996177 + ... + 286464447.

It is an arithmetic number, because the mean of its divisors is an integer number (3798500713280).

Almost surely, 2134033354430552 is an apocalyptic number.

134033354430552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

134033354430552 is an abundant number, since it is smaller than the sum of its proper divisors (230622714044328).

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

134033354430552 is a wasteful number, since it uses less digits than its factorization.

134033354430552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486333 (or 486326 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 45.

The spelling of 134033354430552 in words is "one hundred thirty-four trillion, thirty-three billion, three hundred fifty-four million, four hundred thirty thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 223 446 669 892 1338 1784 2007 2676 4014 5352 8028 16056 17827 35654 53481 71308 106962 142616 160443 213924 320886 427848 468271 641772 936542 1283544 1404813 1873084 2809626 3746168 3975421 4214439 5619252 7950842 8428878 11238504 11926263 15901684 16857756 23852526 31803368 33715512 35778789 47705052 71557578 95410104 104424433 143115156 208848866 286230312 313273299 417697732 626546598 835395464 939819897 1253093196 1879639794 2506186392 3759279588 7518559176 8347867117 16695734234 25043601351 33391468468 50087202702 66782936936 75130804053 100174405404 150261608106 200348810808 300523216212 601046432424 1861574367091 3723148734182 5584723101273 7446297468364 11169446202546 14892594936728 16754169303819 22338892405092 33508338607638 44677784810184 67016677215276 134033354430552