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9348106988000 = 2553111997011523
BaseRepresentation
bin1000100000001000011010…
…0110001010100111100000
31020002200002122112001102202
42020002012212022213200
52211124410342104000
631514243331232332
71653243543230144
oct210020646124740
936080078461382
109348106988000
112a84567765550
12106b8861486a8
1352a6a4503371
14244644d8d224
15113274452dd5
hex8808698a9e0

9348106988000 has 384 divisors, whose sum is σ = 25234718745600. Its totient is φ = 3375187200000.

The previous prime is 9348106987981. The next prime is 9348106988009. The reversal of 9348106988000 is 8896018439.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9348106988009) 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, 6137955239 + ... + 6137956761.

It is an arithmetic number, because the mean of its divisors is an integer number (65715413400).

Almost surely, 29348106988000 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 9348106988000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12617359372800).

9348106988000 is an abundant number, since it is smaller than the sum of its proper divisors (15886611757600).

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

9348106988000 is a wasteful number, since it uses less digits than its factorization.

9348106988000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2459 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 56.

The spelling of 9348106988000 in words is "nine trillion, three hundred forty-eight billion, one hundred six million, nine hundred eighty-eight thousand".