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1368761856 = 29371171163
BaseRepresentation
bin101000110010101…
…1010011000000000
310112101120022021120
41101211122120000
510300400334411
6343453152240
745630166230
oct12145323000
93471508246
101368761856
116426a3050
1232248b680
1318a762077
14cdaddcc0
1580274106
hex5195a600

1368761856 has 320 divisors, whose sum is σ = 4638560256. Its totient is φ = 348364800.

The previous prime is 1368761839. The next prime is 1368761861. The reversal of 1368761856 is 6581678631.

It is a junction number, because it is equal to n+sod(n) for n = 1368761799 and 1368761808.

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 31 ways as a sum of consecutive naturals, for example, 8397231 + ... + 8397393.

Almost surely, 21368761856 is an apocalyptic number.

1368761856 is a gapful number since it is divisible by the number (16) 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 1368761856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2319280128).

1368761856 is an abundant number, since it is smaller than the sum of its proper divisors (3269798400).

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

1368761856 is a wasteful number, since it uses less digits than its factorization.

1368761856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 257 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 51.

The square root of 1368761856 is about 36996.7816978720. The cubic root of 1368761856 is about 1110.3058584130.

The spelling of 1368761856 in words is "one billion, three hundred sixty-eight million, seven hundred sixty-one thousand, eight hundred fifty-six".