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1368771456 = 27313171272
BaseRepresentation
bin101000110010101…
…1100101110000000
310112101120210110010
41101211130232000
510300401141311
6343453304520
745630236223
oct12145345600
93471523403
101368771456
116426aa288
12322495140
1318a766550
14cdb035ba
1580276da6
hex5195cb80

1368771456 has 192 divisors, whose sum is σ = 4178699280. Its totient is φ = 393265152.

The previous prime is 1368771433. The next prime is 1368771479. The reversal of 1368771456 is 6541778631.

It is an interprime number because it is at equal distance from previous prime (1368771433) and next prime (1368771479).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10777665 + ... + 10777791.

Almost surely, 21368771456 is an apocalyptic number.

1368771456 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 1368771456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089349640).

1368771456 is an abundant number, since it is smaller than the sum of its proper divisors (2809927824).

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

1368771456 is a wasteful number, since it uses less digits than its factorization.

1368771456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 162 counting only the distinct ones).

The product of its digits is 846720, while the sum is 48.

The square root of 1368771456 is about 36996.9114386593. The cubic root of 1368771456 is about 1110.3084541680.

The spelling of 1368771456 in words is "one billion, three hundred sixty-eight million, seven hundred seventy-one thousand, four hundred fifty-six".