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10808071488 = 263329321347
BaseRepresentation
bin10100001000011011…
…00001010101000000
31000220020021220211000
422010031201111000
5134113331241423
64544250252000
7531556043334
oct120415412500
930806256730
1010808071488
114646969095
122117727000
131033238196
147475cd7c4
15433ccb843
hex284361540

10808071488 has 112 divisors (see below), whose sum is σ = 31883664960. Its totient is φ = 3590226432.

The previous prime is 10808071447. The next prime is 10808071493. The reversal of 10808071488 is 88417080801.

10808071488 is a `hidden beast` number, since 10 + 80 + 80 + 7 + 1 + 488 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 495631 + ... + 516977.

It is an arithmetic number, because the mean of its divisors is an integer number (284675580).

Almost surely, 210808071488 is an apocalyptic number.

10808071488 is a gapful number since it is divisible by the number (18) 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 10808071488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15941832480).

10808071488 is an abundant number, since it is smaller than the sum of its proper divisors (21075593472).

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

10808071488 is a wasteful number, since it uses less digits than its factorization.

10808071488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21661 (or 21645 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 45.

The spelling of 10808071488 in words is "ten billion, eight hundred eight million, seventy-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 293 432 576 586 864 879 1172 1728 1758 2344 2637 3516 4688 5274 7032 7911 9376 10548 14064 15822 18752 21096 21347 28128 31644 42192 42694 56256 63288 64041 84384 85388 126576 128082 168768 170776 192123 253152 256164 341552 384246 506304 512328 576369 683104 768492 1024656 1152738 1366208 1536984 2049312 2305476 3073968 4098624 4610952 6147936 6254671 9221904 12295872 12509342 18443808 18764013 25018684 36887616 37528026 50037368 56292039 75056052 100074736 112584078 150112104 168876117 200149472 225168156 300224208 337752234 400298944 450336312 600448416 675504468 900672624 1200896832 1351008936 1801345248 2702017872 3602690496 5404035744 10808071488