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11043522246042 = 23311137511904311
BaseRepresentation
bin1010000010110100010100…
…1110000111010110011010
31110002202021001102212001000
42200231011032013112122
52421414113143333132
635253154000205430
72216603530156116
oct240550516072632
943082231385030
1011043522246042
1135785934495a0
1212a4385309876
13621527131770
142a271b852746
151424024e487c
hexa0b4538759a

11043522246042 has 128 divisors (see below), whose sum is σ = 28869979299840. Its totient is φ = 3084982200000.

The previous prime is 11043522245989. The next prime is 11043522246073. The reversal of 11043522246042 is 24064222534011.

11043522246042 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 3 + 5 + 22 + 24 + 604 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11043522245988 and 11043522246006.

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, 4847067 + ... + 6751377.

It is an arithmetic number, because the mean of its divisors is an integer number (225546713280).

Almost surely, 211043522246042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11043522246042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14434989649920).

11043522246042 is an abundant number, since it is smaller than the sum of its proper divisors (17826457053798).

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

11043522246042 is a wasteful number, since it uses less digits than its factorization.

11043522246042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1905097 (or 1905091 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 11043522246042 in words is "eleven trillion, forty-three billion, five hundred twenty-two million, two hundred forty-six thousand, forty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 99 117 143 198 234 286 297 351 429 594 702 751 858 1287 1502 2253 2574 3861 4506 6759 7722 8261 9763 13518 16522 19526 20277 24783 29289 40554 49566 58578 74349 87867 107393 148698 175734 214786 223047 263601 322179 446094 527202 644358 966537 1904311 1933074 2899611 3808622 5712933 5799222 11425866 17138799 20947421 24756043 34277598 41894842 49512086 51416397 62842263 74268129 102832794 125684526 148536258 188526789 222804387 272316473 377053578 445608774 544632946 565580367 668413161 816949419 1131160734 1336826322 1430137561 1633898838 2450848257 2860275122 4290412683 4901696514 7352544771 8580825366 12871238049 14705089542 15731513171 18591788293 25742476098 31463026342 37183576586 38613714147 47194539513 55775364879 77227428294 94389079026 111550729758 141583618539 167326094637 204509671223 283167237078 334652189274 409019342446 424750855617 501978283911 613529013669 849501711234 1003956567822 1227058027338 1840587041007 3681174082014 5521761123021 11043522246042