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1383758630496 = 2533116771127241
BaseRepresentation
bin10100001000101110011…
…100010000111001100000
311220021201111222201222000
4110020232130100321200
5140132414202133441
62535405005444000
7201654554201364
oct24105634207140
94807644881860
101383758630496
11493937743a70
121a4221b70600
13a0645b40668
144ad8d5a72a4
1525edc38c2b6
hex1422e710e60

1383758630496 has 768 divisors, whose sum is σ = 4586152919040. Its totient is φ = 402361344000.

The previous prime is 1383758630417. The next prime is 1383758630497. The reversal of 1383758630496 is 6940368573831.

1383758630496 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 7 + 586 + 3 + 0 + 49 + 6 = 666.

It is a super-2 number, since 2×13837586304962 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1383758630497) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5741736936 + ... + 5741737176.

It is an arithmetic number, because the mean of its divisors is an integer number (5971553280).

Almost surely, 21383758630496 is an apocalyptic number.

1383758630496 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 1383758630496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2293076459520).

1383758630496 is an abundant number, since it is smaller than the sum of its proper divisors (3202394288544).

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

1383758630496 is a wasteful number, since it uses less digits than its factorization.

1383758630496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 1383758630496 in words is "one trillion, three hundred eighty-three billion, seven hundred fifty-eight million, six hundred thirty thousand, four hundred ninety-six".