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33450150755712 = 2733124203116101
BaseRepresentation
bin1111001101100001110000…
…10110100111110110000000
311101102210200112000202111210
413212300320112213312000
513341021402043140322
6155050442003410120
710021456630055145
oct746607026476600
9141383615022453
1033450150755712
11a727147070179
123902a43983940
131588449652062
14838dd2bba3cc
153d01adb3970c
hex1e6c385a7d80

33450150755712 has 128 divisors (see below), whose sum is σ = 91722734853120. Its totient is φ = 10789832448000.

The previous prime is 33450150755699. The next prime is 33450150755729. The reversal of 33450150755712 is 21755705105433.

33450150755712 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×334501507557122 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288054462 + ... + 288170562.

It is an arithmetic number, because the mean of its divisors is an integer number (716583866040).

Almost surely, 233450150755712 is an apocalyptic number.

33450150755712 is a gapful number since it is divisible by the number (32) 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 33450150755712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45861367426560).

33450150755712 is an abundant number, since it is smaller than the sum of its proper divisors (58272584097408).

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

33450150755712 is a wasteful number, since it uses less digits than its factorization.

33450150755712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140352 (or 140340 counting only the distinct ones).

The product of its (nonzero) digits is 2205000, while the sum is 48.

The spelling of 33450150755712 in words is "thirty-three trillion, four hundred fifty billion, one hundred fifty million, seven hundred fifty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1984 2976 3968 5952 11904 24203 48406 72609 96812 116101 145218 193624 232202 290436 348303 387248 464404 580872 696606 750293 774496 928808 1161744 1393212 1500586 1548992 1857616 2250879 2323488 2786424 3001172 3097984 3599131 3715232 4501758 4646976 5572848 6002344 7198262 7430464 9003516 9293952 10797393 11145696 12004688 14396524 14860928 18007032 21594786 22291392 24009376 28793048 36014064 43189572 44582784 48018752 57586096 72028128 86379144 96037504 115172192 144056256 172758288 230344384 288112512 345516576 460688768 691033152 1382066304 2809992503 5619985006 8429977509 11239970012 16859955018 22479940024 33719910036 44959880048 67439820072 87109767593 89919760096 134879640144 174219535186 179839520192 261329302779 269759280288 348439070372 359679040384 522658605558 539518560576 696878140744 1045317211116 1079037121152 1393756281488 2090634422232 2787512562976 4181268844464 5575025125952 8362537688928 11150050251904 16725075377856 33450150755712