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10998396379008 = 2732293173145477
BaseRepresentation
bin1010000000001100001110…
…0000100101111110000000
31102221102210011011021212100
42200003003200211332000
52420144203433112013
635220332112230400
72213415341502423
oct240030340457600
942842704137770
1010998396379008
113560437034805
12129769083b400
1361a1b51210ac
142a047a5bb9ba
151411609e2473
hexa00c3825f80

10998396379008 has 384 divisors, whose sum is σ = 34259719852800. Its totient is φ = 3378581176320.

The previous prime is 10998396378973. The next prime is 10998396379031. The reversal of 10998396379008 is 80097369389901.

It is a happy number.

10998396379008 is a `hidden beast` number, since 1 + 0 + 99 + 83 + 96 + 379 + 0 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75529566 + ... + 75675042.

It is an arithmetic number, because the mean of its divisors is an integer number (89218020450).

Almost surely, 210998396379008 is an apocalyptic number.

10998396379008 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 10998396379008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17129859926400).

10998396379008 is an abundant number, since it is smaller than the sum of its proper divisors (23261323473792).

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

10998396379008 is a wasteful number, since it uses less digits than its factorization.

10998396379008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145630 (or 145615 counting only the distinct ones).

The product of its (nonzero) digits is 158723712, while the sum is 72.

The spelling of 10998396379008 in words is "ten trillion, nine hundred ninety-eight billion, three hundred ninety-six million, three hundred seventy-nine thousand, eight".