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9838138139040 = 2535192398347713
BaseRepresentation
bin1000111100101001111010…
…1110101010000110100000
31021211111221202120202202010
42033022132232222012200
52242142001330422130
632531324523352520
72033532143256111
oct217123656520640
937744852522663
109838138139040
1131533705551a2
12112a844682740
1356496a24c833
1426025023c208
15120da4ccd0b0
hex8f29ebaa1a0

9838138139040 has 384 divisors, whose sum is σ = 34074850037760. Its totient is φ = 2374894190592.

The previous prime is 9838138139029. The next prime is 9838138139051. The reversal of 9838138139040 is 409318318389.

It is an interprime number because it is at equal distance from previous prime (9838138139029) and next prime (9838138139051).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 206170224 + ... + 206217936.

It is an arithmetic number, because the mean of its divisors is an integer number (88736588640).

Almost surely, 29838138139040 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 9838138139040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17037425018880).

9838138139040 is an abundant number, since it is smaller than the sum of its proper divisors (24236711898720).

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

9838138139040 is a wasteful number, since it uses less digits than its factorization.

9838138139040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48756 (or 48748 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 57.

The spelling of 9838138139040 in words is "nine trillion, eight hundred thirty-eight billion, one hundred thirty-eight million, one hundred thirty-nine thousand, forty".