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11648436648 = 2337115743541
BaseRepresentation
bin10101101100100110…
…10000100110101000
31010001210120220002120
422312103100212220
5142323444433043
65203510231240
7561442035462
oct126623204650
933053526076
1011648436648
114a38269952
122311055520
131138381b84
147c7065132
15482978983
hex2b64d09a8

11648436648 has 64 divisors (see below), whose sum is σ = 29720027520. Its totient is φ = 3803654400.

The previous prime is 11648436643. The next prime is 11648436689. The reversal of 11648436648 is 84663484611.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11648436648.

It is not an unprimeable number, because it can be changed into a prime (11648436643) 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, 245758 + ... + 289298.

It is an arithmetic number, because the mean of its divisors is an integer number (464375430).

Almost surely, 211648436648 is an apocalyptic number.

It is an amenable number.

11648436648 is an abundant number, since it is smaller than the sum of its proper divisors (18071590872).

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

11648436648 is a wasteful number, since it uses less digits than its factorization.

11648436648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43778 (or 43774 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 51.

The spelling of 11648436648 in words is "eleven billion, six hundred forty-eight million, four hundred thirty-six thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 71 142 157 213 284 314 426 471 568 628 852 942 1256 1704 1884 3768 11147 22294 33441 43541 44588 66882 87082 89176 130623 133764 174164 261246 267528 348328 522492 1044984 3091411 6182822 6835937 9274233 12365644 13671874 18548466 20507811 24731288 27343748 37096932 41015622 54687496 74193864 82031244 164062488 485351527 970703054 1456054581 1941406108 2912109162 3882812216 5824218324 11648436648