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11034043505152 = 291759109197123
BaseRepresentation
bin1010000010010001000000…
…1111100101101000000000
31110001211210110111220222121
42200210100033211220000
52421240210114131102
635244545234014024
72216116612203043
oct240442017455000
943054713456877
1011034043505152
1135745699a1238
1212a257aa17314
13620676430945
142a209ca1ac5a
1514204a29db37
hexa09103e5a00

11034043505152 has 160 divisors (see below), whose sum is σ = 23956952817600. Its totient is φ = 5057626963968.

The previous prime is 11034043505143. The next prime is 11034043505159. The reversal of 11034043505152 is 25150534043011.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (11034043505159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55876863 + ... + 56073985.

It is an arithmetic number, because the mean of its divisors is an integer number (149730955110).

Almost surely, 211034043505152 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 11034043505152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11978476408800).

11034043505152 is an abundant number, since it is smaller than the sum of its proper divisors (12922909312448).

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

11034043505152 is a wasteful number, since it uses less digits than its factorization.

11034043505152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197326 (or 197310 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

Adding to 11034043505152 its reverse (25150534043011), we get a palindrome (36184577548163).

The spelling of 11034043505152 in words is "eleven trillion, thirty-four billion, forty-three million, five hundred five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 59 64 68 109 118 128 136 218 236 256 272 436 472 512 544 872 944 1003 1088 1744 1853 1888 2006 2176 3488 3706 3776 4012 4352 6431 6976 7412 7552 8024 8704 12862 13952 14824 15104 16048 25724 27904 29648 30208 32096 51448 55808 59296 64192 102896 109327 118592 128384 197123 205792 218654 237184 256768 394246 411584 437308 474368 513536 788492 823168 874616 948736 1576984 1646336 1749232 3153968 3292672 3351091 3498464 6307936 6702182 6996928 11630257 12615872 13404364 13993856 21486407 23260514 25231744 26808728 27987712 42972814 46521028 50463488 53617456 55975424 85945628 93042056 100926976 107234912 171891256 186084112 197714369 214469824 343782512 365268919 372168224 395428738 428939648 687565024 730537838 744336448 790857476 857879296 1267698013 1375130048 1461075676 1488672896 1581714952 1715758592 2535396026 2750260096 2922151352 2977345792 3163429904 5070792052 5500520192 5844302704 5954691584 6326859808 10141584104 11001040384 11688605408 12653719616 20283168208 21550866221 23377210816 25307439232 40566336416 43101732442 46754421632 50614878464 81132672832 86203464884 93508843264 101229756928 162265345664 172406929768 187017686528 324530691328 344813859536 649061382656 689627719072 1379255438144 2758510876288 5517021752576 11034043505152