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43538046048 = 2533721028393
BaseRepresentation
bin101000100011000100…
…011101110001100000
311011101020111220021000
4220203010131301200
51203131214433143
632000123232000
73100625166600
oct504304356140
9134336456230
1043538046048
1117512101442
128530978600
13414b080233
142170430c00
1511ec40bbd3
hexa2311dc60

43538046048 has 144 divisors (see below), whose sum is σ = 147718514160. Its totient is φ = 12439429632.

The previous prime is 43538046037. The next prime is 43538046091. The reversal of 43538046048 is 84064083534.

43538046048 is a `hidden beast` number, since 4 + 3 + 5 + 38 + 0 + 4 + 604 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×435380460482 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 43538045994 and 43538046012.

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, 471861 + ... + 556532.

It is an arithmetic number, because the mean of its divisors is an integer number (1025823015).

Almost surely, 243538046048 is an apocalyptic number.

43538046048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

43538046048 is an abundant number, since it is smaller than the sum of its proper divisors (104180468112).

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

43538046048 is a wasteful number, since it uses less digits than its factorization.

43538046048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028426 (or 1028405 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 43538046048 in words is "forty-three billion, five hundred thirty-eight million, forty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 504 588 672 756 784 864 882 1008 1176 1323 1512 1568 1764 2016 2352 2646 3024 3528 4704 5292 6048 7056 10584 14112 21168 42336 1028393 2056786 3085179 4113572 6170358 7198751 8227144 9255537 12340716 14397502 16454288 18511074 21596253 24681432 27766611 28795004 32908576 37022148 43192506 49362864 50391257 55533222 57590008 64788759 74044296 86385012 98725728 100782514 111066444 115180016 129577518 148088592 151173771 172770024 194366277 201565028 222132888 230360032 259155036 296177184 302347542 345540048 388732554 403130056 444265776 453521313 518310072 604695084 691080096 777465108 806260112 888531552 907042626 1036620144 1209390168 1360563939 1554930216 1612520224 1814085252 2073240288 2418780336 2721127878 3109860432 3628170504 4837560672 5442255756 6219720864 7256341008 10884511512 14512682016 21769023024 43538046048