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38690530946496 = 263311131717353239
BaseRepresentation
bin10001100110000010101110…
…10110100110110111000000
312001222210000121212210122000
420303001113112212313000
520032401201410241441
6214142103505544000
711102204265534132
oct1063012726466700
9161883017783560
1038690530946496
1111367620071930
12440a598645000
1318786697b19b0
1497a8bb4db052
154716698662b6
hex2330575a6dc0

38690530946496 has 896 divisors, whose sum is σ = 142309140019200. Its totient is φ = 10126838661120.

The previous prime is 38690530946491. The next prime is 38690530946519. The reversal of 38690530946496 is 69464903509683.

It is a happy number.

38690530946496 is a `hidden beast` number, since 3 + 8 + 6 + 9 + 0 + 530 + 9 + 46 + 49 + 6 = 666.

It is a super-2 number, since 2×386905309464962 (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38690530946491) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 726706245 + ... + 726759483.

It is an arithmetic number, because the mean of its divisors is an integer number (158827165200).

Almost surely, 238690530946496 is an apocalyptic number.

38690530946496 is a gapful number since it is divisible by the number (36) 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 38690530946496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71154570009600).

38690530946496 is an abundant number, since it is smaller than the sum of its proper divisors (103618609072704).

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

38690530946496 is a wasteful number, since it uses less digits than its factorization.

38690530946496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53474 (or 53458 counting only the distinct ones).

The product of its (nonzero) digits is 906992640, while the sum is 72.

The spelling of 38690530946496 in words is "thirty-eight trillion, six hundred ninety billion, five hundred thirty million, nine hundred forty-six thousand, four hundred ninety-six".