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1098788423040 = 2733571117311567
BaseRepresentation
bin11111111110101001110…
…01001100010110000000
310220001011110021021121000
433333110321030112000
5121000304314014130
62200435413132000
7142246000331130
oct17772471142600
93801143237530
101098788423040
11393aa2468320
12158b5202a000
137c7cca8c529
143b278602ac0
151d8ae42a260
hexffd4e4c580

1098788423040 has 2048 divisors, whose sum is σ = 5306292633600. Its totient is φ = 207824486400.

The previous prime is 1098788423021. The next prime is 1098788423041. The reversal of 1098788423040 is 403248878901.

It is a happy number.

1098788423040 is a `hidden beast` number, since 10 + 98 + 7 + 88 + 423 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1098788423041) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 701204337 + ... + 701205903.

It is an arithmetic number, because the mean of its divisors is an integer number (2590963200).

Almost surely, 21098788423040 is an apocalyptic number.

1098788423040 is a gapful number since it is divisible by the number (10) 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 1098788423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2653146316800).

1098788423040 is an abundant number, since it is smaller than the sum of its proper divisors (4207504210560).

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

1098788423040 is a wasteful number, since it uses less digits than its factorization.

1098788423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 1098788423040 in words is "one trillion, ninety-eight billion, seven hundred eighty-eight million, four hundred twenty-three thousand, forty".