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1379786688 = 263272193183
BaseRepresentation
bin101001000111101…
…1101111111000000
310120011022102111200
41102033131333000
510311211133223
6344525341200
746122664500
oct12217357700
93504272450
101379786688
11648943185
12326107800
1318cb22237
14d136da00
1581200a43
hex523ddfc0

1379786688 has 504 divisors, whose sum is σ = 5059192320. Its totient is φ = 357073920.

The previous prime is 1379786641. The next prime is 1379786699. The reversal of 1379786688 is 8866879731.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×13797866882 = 3807622608764018688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16623895 + ... + 16623977.

It is an arithmetic number, because the mean of its divisors is an integer number (10038080).

Almost surely, 21379786688 is an apocalyptic number.

1379786688 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 1379786688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529596160).

1379786688 is an abundant number, since it is smaller than the sum of its proper divisors (3679405632).

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

1379786688 is a wasteful number, since it uses less digits than its factorization.

1379786688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 145 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The square root of 1379786688 is about 37145.4800480489. The cubic root of 1379786688 is about 1113.2789143165.

The spelling of 1379786688 in words is "one billion, three hundred seventy-nine million, seven hundred eighty-six thousand, six hundred eighty-eight".