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153500363004030 = 2357367222648221
BaseRepresentation
bin100010111001101110010110…
…100111000001100001111110
3202010111111021020000022000220
4202321232112213001201332
5130104422220412112110
61302245032051202210
744222015043315000
oct4271562647014176
9663444236008026
10153500363004030
1144a01158195769
1215271494ba6366
1367860397a3a63
1429c965882a370
1512b2d6b5ad370
hex8b9b969c187e

153500363004030 has 128 divisors (see below), whose sum is σ = 436034277964800. Its totient is φ = 34562128487040.

The previous prime is 153500363004019. The next prime is 153500363004047. The reversal of 153500363004030 is 30400363005351.

It is a happy number.

It is a super-2 number, since 2×1535003630040302 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 153500363003982 and 153500363004000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110634681 + ... + 112013540.

It is an arithmetic number, because the mean of its divisors is an integer number (3406517796600).

Almost surely, 2153500363004030 is an apocalyptic number.

153500363004030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

153500363004030 is an abundant number, since it is smaller than the sum of its proper divisors (282533914960770).

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

153500363004030 is a wasteful number, since it uses less digits than its factorization.

153500363004030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222648319 (or 222648305 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 33.

The spelling of 153500363004030 in words is "one hundred fifty-three trillion, five hundred billion, three hundred sixty-three million, four thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 67 70 98 105 134 147 201 210 245 294 335 343 402 469 490 670 686 735 938 1005 1029 1407 1470 1715 2010 2058 2345 2814 3283 3430 4690 5145 6566 7035 9849 10290 14070 16415 19698 22981 32830 45962 49245 68943 98490 114905 137886 229810 344715 689430 222648221 445296442 667944663 1113241105 1335889326 1558537547 2226482210 3117075094 3339723315 4675612641 6679446630 7792687735 9351225282 10909762829 14917430807 15585375470 21819525658 23378063205 29834861614 32729288487 44752292421 46756126410 54548814145 65458576974 74587154035 76368339803 89504584842 104422015649 109097628290 149174308070 152736679606 163646442435 208844031298 223761462105 229105019409 313266046947 327292884870 381841699015 447522924210 458210038818 522110078245 626532093894 730954109543 763683398030 1044220156490 1145525097045 1461908219086 1566330234735 2192862328629 2291050194090 3132660469470 3654770547715 4385724657258 5116678766801 7309541095430 10233357533602 10964311643145 15350036300403 21928623286290 25583393834005 30700072600806 51166787668010 76750181502015 153500363004030