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1138636893408 = 2537293110118661
BaseRepresentation
bin10000100100011100000…
…011000010110011100000
311000212000120012022111220
4100210130003002303200
5122123412021042113
62231025500135040
7145156324621440
oct20443403026340
94025016168456
101138636893408
113a9990929963
12164813237480
13834b0628891
143d178a08120
151e94297e523
hex1091c0c2ce0

1138636893408 has 384 divisors, whose sum is σ = 3684004208640. Its totient is φ = 300948480000.

The previous prime is 1138636893403. The next prime is 1138636893491. The reversal of 1138636893408 is 8043986368311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1138636893403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61007598 + ... + 61026258.

It is an arithmetic number, because the mean of its divisors is an integer number (9593760960).

Almost surely, 21138636893408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1138636893408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842002104320).

1138636893408 is an abundant number, since it is smaller than the sum of its proper divisors (2545367315232).

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

1138636893408 is a wasteful number, since it uses less digits than its factorization.

1138636893408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18842 (or 18834 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 60.

The spelling of 1138636893408 in words is "one trillion, one hundred thirty-eight billion, six hundred thirty-six million, eight hundred ninety-three thousand, four hundred eight".